A politician recently made the claim that 47% of taxpayers from a certain region do not pay any income taxes. Makayla is a journalist for an online media company and is testing the politician's claim for an op-ed. She randomly selects 159 taxpayers from the region to conduct a survey and finds that 73 of them do not pay any income taxes. What are the null and alternative hypotheses for this hypothesis test? Select the correct answer: A) {H0:p=0.47Ha:p>0.47 B) {H0:p=0.47Ha:p<0.47 C) {H0:p=0.47Ha:p≠0.47 D) {H0:p≠0.47Ha:p=0.47
Q: Only 18% of registered voters voted in the last election. Will voter participation decline for the…
A: a. we should use z test for one sample proportion.
Q: A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of radiation…
A: From the given information: The estimate of the proportion that are exposed to radiation feel ill…
Q: A Gallup poll on energy use randomly selected 521 adults and asked if they favoured “increasing the…
A: Solution: Given information: n= 521 Sample size of adults x= 234 adults said yes p^= xn=234521=…
Q: According to the Centers of Disease Control, about 20% of American young people between the ages of…
A:
Q: A business joumal investigau mance and timin of corporate acquisition Iscovered that in a random…
A: Solution: Let X be number of firms announced one or more acquisitions during the year 2000 and n be…
Q: A newsletter publisher believes that 25%of their readers own a personal computer. Is there…
A: Given that A newsletter publisher believes that 25%of their readers own a personal computer. Level…
Q: A store manager hypothesizes that the average number of pages a person copies on the store’s copy…
A: The provided information is n=50 α=0.01 1. The null hypothesis is Ho:µ=40 E. = 2. The alternative…
Q: Last year, 46% of business owners gave a holiday gift to their employees. A survey of business…
A: Given: population proportion(p)=0.46sample proportion(p^)=0.35sample size(n)=60
Q: A report claims that 46% of full-time college students are employed while attending college. À…
A: Given,n=60x=26p^=xnp^=2660=0.4333α=0.10
Q: Suppose a professional basketball player storically makes 37% of his three-point field als. After a…
A: Solution: Given information: n= 75 Sample size x= 36 success p^=xn=3675=0.48 Sample proportion…
Q: According to a recent report, 45% of college student internships are unpaid. A recent survey of 120…
A: a) Step 1: Assume that π is the true proportion of college students with unpaid internship.
Q: Store owner asks 55 people in City A and 50 households in City B whether anyone in their household…
A: Introduction: Denote p1, p2 as the true population proportions of households that had used their…
Q: Since the latest Axios poll said that 44% of Americans said that kneeling was appropriate, we will…
A: After asking the 50 people , Lets assume : Number of people who said kneeling during national anthem…
Q: he body weight of a healthy 3-month-old colt should be about μ = 62 kg. (a) If you want to set up a…
A:
Q: The manager of a fleet of automobiles is testing two different brands of radial tires and assigns…
A: The null and alternative hypothesis is, H0:μ1=μ2Ha:μ1≠μ2 Using the given information, we can find…
Q: According to a recent report, 45% of college student internships are unpaid. A recent survey of 80…
A: a. Part 1: Suppose π as the true proportion of college interns that had unpaid internships.
Q: According to a recent report, 46% of college student internships are unpaid. A recent survey of…
A: (a) State the hypotheses. That is, there is no evidence that the he proportion of college interns…
Q: A hospital directors told that 54% of the merchant seaman visitors I ensured the director ones to…
A: The conditions for the proportion test for sample size n and the true population proportion p0,The…
Q: Only 14% of registered voters voted in the last election. Will voter participation decline for the…
A: From the provided information, Population proportion p = 0.14 Sample size (n) = 392 Out of which 47…
Q: Last year, 40% of business owners gave a holiday gift to their employees. A survey of business…
A: a)From the given information, the sample proportion p hat is 0.30 and sample size (n) is 80.
Q: According to a recent report, 46% of college student internships are unpaid. A recent survey of…
A: a) Given: Sample size of data is n=100. Number of college interns who had unpaid internship, x = 58.…
Q: Find the Type II error given that the null hypothesis, H0, is: there are no more than 15% of…
A: Introduction: Type I error: Type-I error is rejecting the null hypothesis H0, when the null…
Q: According to a recent report, 47% of college student internships are unpaid. A recent survey of 120…
A:
Q: If I conduct a hypothesis testing with Type I error set at 0.05 and a resulting p-value of 0.3, what…
A: Type I error: The type I error occurs when rejecting the null hypothesis if it is true. It is also…
Q: A newsletter publisher believes that 68% of their readers own a Rolls Royce. Is there sufficient…
A: Given data, p=68%=0.68 α=0.02
Q: Are Republicans less likely than Democrats to display the American flag in front of their residence…
A: Consider that p1, p2 is the true proportions of Republicans and Democrats, who display the American…
Q: Two observational studies of handwashing times were conducted with 59 men and 59 women. Of the 59…
A: Let p1 population proportion of women not washing their hands, and p2 population proportion of men…
Q: According to a recent report, 46% of college student internships are unpaid. A recent survey of…
A: a) Denote π as the true proportion of college students’ unpaid internship. It is reported that 46%…
Q: Last year, 60% of business owners gave a holiday gift to their employees. A survey of business…
A:
Q: Only 20% of registered voters voted in the last election. Will voter participation change for the…
A: a) In this case, the population proportion is known.
Q: A newsletter publisher believes that over 54% of their readers own a personal computer. Is there…
A: The null hypothesis and the alternative hypothesis are given below:
Q: According to a 2017 survey by a reputable organization, patients had to wait an average of 24 days…
A: From the provided information, Sample size (n) = 40 Level of significance (α) = 0.01
Q: Are Republicans less likely than Democrats to display the American flag in front of their residence…
A: Given: Sample sizes: n1=600n2=661 Number of Republicans who display the American flag X1=418 Number…
Q: When the 2000 GSS asked whether human beings developed from earlier species of animals, 53.8% of…
A: It is given that 53.8% of 1095 respondents answered that this was probably or definitely not true.
Q: According to a recent report, 48% of college student internships are unpaid. A recent survey of 100…
A: a) Assume that π is the true proportion of college students with unpaid internship.
Q: According to a recent report, 44% of college student internships are unpaid. A recent sutvey of 60…
A:
Q: Last year, 46% of business owners gave a holiday gift to their employees. A survey of business…
A: Given: p=46%=0.46p^=35%=0.35n=80
Q: In 2015, the average math SAT score for students at South Hanover High School was 520. Five years…
A: Type I error: The type I error occurs when rejecting the null hypothesis when it is true. It is…
Q: A golf instructor claims that more than 70% of his students have improved their driving distance by…
A: Given: population proportion: p = 0.70 n = 180 x = 138 Claim : A golf instructor claims that more…
Q: Last year, 54% of business owners gave a holiday gift to their employees. A survey of business…
A:
Q: 22. Because one of the brands of MP3 players (Brand B) is known to be the most popular among…
A: 22. Alternate Hypothesis: It is the hypothesis which is claimed by the researcher Null…
Q: In a hypothesis test with hypotheses Ho :p 2 0.76 and H1 :p < 0.76, a random sample of size 974…
A:
Q: The mathematics department at one university reports that the failure rate for College Alge is no…
A: Type I error= Rejecting the null hypothesis when it is TRUE. Type II error = Fail to reject null…
Q: Only 14% of registered voters voted in the last election. Will voter participation change for the…
A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any…
Q: A poll reported that 32% of 195 Canadians between the ages of 25 and 29 had started saving money for…
A: The random variable started saving for retirement follows binomial distribution. There are two…
Q: A magazine reported that at the top 50 business schools in a region, students studied an average of…
A:
Q: In a report concerning the rise of automation in the United States. 55% of the participants…
A: From the provided information, Sample size (n) = 540 55% of the participants indicated that they…
Q: A newsletter publisher believes that 29% of their readers own a laptop. Is there sufficient evidence…
A: Let p be the proportion for readers own a laptop Given p=29%=0.29, level of significance ɑ=0.05
Q: an airline promotion to business travelers is based on the assumption that two-thirds ofbusiness…
A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…
Q: A school board in a large district is investigating whether parents would be willing to extend the…
A: Conditions for the sampling distribution of the sample proportion to be approximately normal is…
A politician recently made the claim that 47% of taxpayers from a certain region do not pay any income taxes. Makayla is a journalist for an online media company and is testing the politician's claim for an op-ed. She randomly selects 159 taxpayers from the region to conduct a survey and finds that 73 of them do not pay any income taxes. What are the null and alternative hypotheses for this hypothesis test?
Select the correct answer:
A) {H0:p=0.47Ha:p>0.47
B) {H0:p=0.47Ha:p<0.47
C) {H0:p=0.47Ha:p≠0.47
D) {H0:p≠0.47Ha:p=0.47
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
- In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using 40 students as the sample, conduct a hypothesis test to determine if the average for students at your school is lower:Massachusetts Institute of Technology grants pirate certificates to those students who successfully complete courses in archery, fencing, sailing, and pistol shooting ("MIT Awards Pirate Certificates to Undergraduates," Boston Globe, March 3, 2012). Sheila claims that those students who go on to earn pirate certificates are able to hit a higher proportion of bull's-eyes during the archery final exam than the course average of 0.15. Specify the null and alternative hypotheses to test her claim.In a survey taken in 2020, 20 out of 50 women and 17 out of 45 men said that they felt our country was headed in the wrong direction regarding universal health care. Do these data provide sufficient evidence at the 0.01 level of significance to conclude that the proportions of women and men that feel out country is headed in the wrong direction regarding healthcare are equal? Use the P-Value Method of Testing. In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H1 3. The test statistic 4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject Ho
- The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 50 records of automobile driver fatalities in a certain county showed that 33 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. State the null hypothesis H0 and the alternate hypothesis H. np? nq? What is the value of the sample test statistic? (Round your answer to two decimal places.) Find the P-value of the test statistic. (Round your answer to four decimal places.) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?? Interpret your conclusion in the context of the application.According to the National Highway and Traffic Safety Administration, the proportion of fatal traffic accidents in the United States in which the driver had a positive blood alcohol concentration (BAC) is .36. Suppose a random sample of 105 traffic fatalities in the state of Hawaii results in 51 that involved a positive BAC. D) Check whether the conditions for hypothesis testing using the P-value approach are meet.Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement. b)Would you expect a confidence interval for the proportion of American adults who decide not to go to college because they cannot afford it to include 0.5? Explain.
- A golf instructor claims that more than 70% of his students have improved their driving distance by at least 20 yards after viewing and applying the techniques described in his instructional video. If 138 out of 180 viewers say that their driving distance has improved by at least 20 yards, is the instructor's claim valid? Identify the null and alternative hypotheses for this scenario. Is the instructor's claim that "more than 70% of his students have improved their driving distance by at least 20 yards," valid? Your response should include your decision and conclusion in context of the scenario.The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.1% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10.5% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 9.1% in the general adult American population. Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to f. The correct summary would be:An organization published an article stating that in any one-year period, approximately 7.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.
- The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to:_____________ f. The correct summary would be: ____________ that the true proportion of people in that city suffering from depression or a…The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? H0: H1: b.) Based on the hypotheses, find the following: c.) Test Statistic = d.) p-value = e.) Based on the above we choose to________________ f.) The correct summary would be:____________ that the true proportion of people in that city suffering from depression or a depressive illness is more than the percent in the general…Find the Type II error given that the null hypothesis, H0, is: there are no more than 15% of structures in the county were built without permits.And, the alternative hypothesis, Ha, is: a building inspector claims that more than 15% of structures in the county were built without permits. Select the correct answer below: The building inspector concludes that more than 15% of the structures in the county were built without permits when, in fact, no more than 15% of the structures were built without permits. The building inspector concludes that more than 15% of the structures in the county were built without permits when, in fact, more than 15% of the structures were built without permits. The building inspector cannot conclude that more than 15% of the structures in the county were built without permits when, in fact, no more than 15% of the structures were built without permits. The building inspector cannot conclude that more than 15% of the structures in the county were…