The mean age of bus drivers in Chicago is 50.6 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
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A: Given data: The average salary of blue-eyed people is: A=$35,000. The average salary of brown-eyed…
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A: Null Hypothesis: H0: p = 0.49 Alternative Hypothesis: Ha: p < 0.49 The decision is to reject the…
Q: According to the Department of Justice, the mean length of imprisonment for motor- vehicletheft…
A: a). Let µ be the mean length of imprisonment. The null hypothesis for the test is given below: Null…
Q: breaking strength differs from 1000 pounds,
A: Sample size (n)=100 Mean breaking strength (x¯) = 1050 pounds Standard deviation (σ) = 200 pounds…
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A: Solution: State the hypotheses. Null hypothesis: That is, the mean salary for a local police…
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A: Using Minitab Step 1: Go to Stat>Basic statistics > 2 variances Step 2: Put the following…
Q: 2. Is there a difference in the proportion of individuals with food allergies between young children…
A: The sample proportions are The pooled proportion or weighted estimate of p is,
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A: Solution: From the given information, percentage of people who come in to look at dogs end up…
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A: A confidence interval tell us the probability that estimated population parameter lie with in the…
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Q: The proportion of people in Los Angeles who like exercising is 52%. Identify the type I and type II…
A: The type I error is defined as rejecting the null hypothesis when actually it is true. The type II…
Q: If the test is done at 95% confidence, the null hypothesis should
A: HER GIVEN, sample mean = 12.75 $ n= 100 standard deviation = $2 here population standard deviation…
Q: The College of Graduate Studies at MNSU claims that more than 60% of undergraduate students at this…
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Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…
A: Solution: 8. Let X be number people are in favor of stricter gun control and n be the sample number…
Q: What is the critical value for a one-tailed hypothesis test in which a null hypothesis is tested at…
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Q: If the null hypothesis is rejected for a One-Way ANOVA, then what test should you conduct?
A: If the null hypothesis is rejected for a One-Way ANOVA, then it means that the means of all groups…
Q: 10) The mean age of bus drivers in Chicago is 48.7 years. If a hypothesis test is performed, how…
A: Denote μ as the population mean age of bus drivers.
Q: A hypothesis test is conducted with a level of significance of 10% and the resulting p value is…
A:
Q: If a hypothesis is not rejected at the 5% level of significance, it will also not be rejected at the…
A: Concept of p-value: The p-value in hypothesis testing is the probability of obtaining a test…
Q: A laptop manufacturer claims that the mean life of the battery for a certain model laptop is less…
A: Let μ be the mean life of the battery for a certain model laptop.
Q: A prominent travel agency claims that the mean cost of a four-day theme park vacation is $1500 per…
A: Here, a researcher believes that the mean cost is much higher (reject H0) but in reality the mean…
Q: A statistical test of hypothesis produces the P-value P = 0.112. Will the null hypothesis be…
A: Decision rule : Reject H0 if P-value < α
Q: What is a p-value and how is it used to make a decision about the null hypothesis? How is the…
A: 1. The p-value or the calculated probability can be defined as the probability of finding the…
Q: What is the appropriate null hypothesis for this test? b. What is the sample size for this data? c.…
A: a) degrees of freedom for groups is 2. Thus, number of treatments is 3. The hypotheses to be tested…
Q: Will the null hypothesis be rejected at a 5% level of significance?
A: Here sample proportion p⏜ = 0.63 Sample size n = 800 Now testing given hypothesis
Q: A p-value indicates the probability of a particular sample statistic occurring (or a more extreme…
A: We have to find that given statement is true or false...
Q: Is it commonly believed that the mean body temperature of a healthy adult is 98.6f you are not…
A: Solution: From the given information, the claim is that the mean body temperature of a healthy adult…
Q: If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and…
A: If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and…
Q: The value for the test statistic for a left-tailed one mean z-test is z= -1.19. Determine the…
A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…
Q: A restaurant owner claims that the mean amount spent by diners at his restaurant is more than $30.…
A: Solution: The claim is that the mean amount spent by diners at his restaurant is more than $30.…
Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…
A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…
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A: Given data: The effectiveness of a new headache medicine is tested by measuring the amount of time…
Q: If we have a sample of size 100 with sample mean breaking strength of 975 pounds from a population…
A: Null hypothesis: µ=1000. Alternative hypothesis: µ<1000. Here, the sample mean, x-bar is 975. The…
Q: If one views a test statistic of z=1.03, should the conclusion be to accept the null hypothesis at a…
A: Given: Test statistic z=1.03 Confidence level =90%=0.90 The significance level is 1-confidence level…
Q: what causes the rejection of null hypothesis? what is the significance level?
A: The p - value less than 0.05(5%)
Q: Can we support the claim at 0.01 level of significance ?
A: It is given that Sample size n = 50 Sample mean M = 1850 Population SD = 100 Level of significance =…
Q: Historically, the percentage of U.S. residents who support stricter gun control laws has been 55%. A…
A: The given claim is that the proportion of those favoring stricter gun control has changed from 0.55.…
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Q: With the null hypothesis that a suspect is innocent, an investigation concluded that the suspect…
A: The probability of determining a test statistic value at least as extreme as the observed value…
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Q: A researcher calculated sample proportions from two independent random samples. Assuming all…
A: Let p^1 be the sample proportion of 1st population and n1 be the sample size. p^2 be the sample…
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Q: Do the t-test and test the null hypothesis that the two means are equal at the 95% confidence…
A: T test is used to measure the mean significance between the sample and population. It is used when…
Q: Are freshmen psychology majors less likely to change their major before they graduate compared to…
A: Given that,sample one, x1 =353, n1 =665, p1= x1/n1=0.5308sample two, x2 =371, n2 =664, p2=…
Q: A newsletter publisher believes that less than 68 % of their readers own a Rolls Royce. For…
A: Hypothesis test means, decision-making about the population parameter. In the null hypothesis and…
Q: Assuming that the null hypothesis is true, the ______________ is the probability of observing a…
A: Assuming that the null hypothesis is true, the p-value is the probability of observing a value of…
Q: The mean age of bus drivers in chicago is 56.7 years. If a hypothesis test is performed, how should…
A: Denote μ as the population mean age of bus drivers.
Q: A small p-value means that the probability of obtaining a sample mean more extreme than the one…
A: Given : Statement : A small p-value means that the probability of obtaining a sample mean more…
Q: According to a survey, the average American person watches TV for 3 hours per week. To test if the…
A: Given average american person watches TV for 3 hours per week. A hypothesis test is conducted at 10%…
Q: At the 0.01 significance level, we ask if there is a difference in the mean number of times men and…
A: For men, sample sise n1 = 25, sample mean = 23, and population SD = 5 For women, sample size n2 =…
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- A manufacturer of exercise equipment knows that 15% of their products aredefective. They also know that only 35% of their customers will actually use the equipment in the first year after it is purchased. If there is a one-year warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?Suppose that 15% of a Canadian wholesaler’s food products are gluten-free. Furthermore, 70% of its products are peanut-free. Assume that the use of nuts and gluten-containing products are independent. 1. (a) What percentage of this wholesaler’s products contain at least one of the two allergens? (b) What percentage of this wholesaler’s products are allergen-free? 2. What percentage of this wholesaler’s products contain peanuts but no gluten?A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) YesYesNoNoNoYesYesYesYesYesYesNoNoYesYesNoYesYesNoNoYesNoYesNoYesYesYesYesYesYesNoYesYesYesNoNoYesNoNoNo Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3% and a confidence level of 97.8%. Sample Size =
- A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…in a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60) (0.80)=0.48. is this student correct in his approach?To determine the effectiveness of an oil additive, a testing firm purchased two cars of the same make, year, and model, and drove each a distance of 30,000 miles using the same kind of gasoline, the same kind of oil, the same driver, under the same road conditions. The oil in one engine included the additive, whereas the oil in the other engine did not. At the end of the test, the engines of both cars were dismantled, and it was found that the engine that contained the additive had less wear. The testing firm concluded that the oil additive caused the reduced wear.
- A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) Use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α{=0.05. (d) Conclusion for the problem above isSuppose that a healthy person has 10% chance of getting sick that would require $40,000 of medical expenses. Suppose that unhealthy person has a 60% chance of getting sick that would require $100,000 in medical expenses. A) What would be an actuarially fair premium for a healthy person? B) What would be an actuarially fair premium for unhealthy person? C) If everyone has to buy health insurance and 20% of the population are unhealthy and 80% of the population are health, what would be an actuarially fair premium for any person?
- 4.(a) The manufacturer of a certain voltmeter claims that 95% or more of its readings are within0.1% of the true value. In a sample of 500 readings, 470 were within 0.1% of the truevalue. Is there enough evidence to reject the claim?(b) A manufacturer of computer workstations is testing a new automated assembly process.The current process has a defect rate of 5%. In a sample of 400 worksations assembled bythe new process, 15 had defects. Can it be concluded that new process has a lower defectrate?It is claimed that the proportion of men who want football matches to be broadcast more frequently on television is higher than the ratio of women. It was stated that 60 out of 120 men randomly selected and 50 out of 150 women favor publication more frequently. According to this; For α = 0.01, test the accuracy of the claim between the proportions of male and female audience by following the test steps. DAYS CONSUMER Mon 121 Tue 105 Wed 85 Thu 98 Fri 85 Sat 94 Sun 112An economist has collected data on the number of house foreclosures. The published share of housing units with a foreclosure filing is 0.47%. The economist believes, based on the data she collected, that the share of housing units with a foreclosure filing is different from 0.47%. What are the null and alternative hypotheses? Select the correct answer below: H0: μ≠0.47%; Ha: μ=0.47% H0: μ=0.47%; Ha: μ≥0.47% H0: μ=0.47%; Ha: μ≤0.47% H0: μ=0.47%; Ha: μ≠0.47%