Production records indicate that in normal operation for a certain electronic component, 93% have no faults, 5% have one fault, and 2% have more than one fault. For a random sample of 500 of these components from a week’s output, 458 were found to have no faults; 30, to have one fault; and 12, to have more than one fault. Test, at the 5% level, the null hypothesis that the quality of the output from this week conforms to the usual pattern.
Q: In a clinical trial, 26 out of 896 patients taking a prescription drug daily complained of flulike…
A: Given that, Probability, p0= 2.5% = 0.025 And sample size is n= 896 Then np0(1-p0)=…
Q: A manufacturer of flashlight batteries claims that the average life of her batteries is larger than…
A: a) H0: µ = 400 Ha: µ > 400 This is right tailed test. Using calculator, X̅ = 473.4615 , S =…
Q: In his book (Design and Analysis of Experiments, 5th edition, 2001 John Wiley & Sons), D. C.…
A:
Q: Let p1 and p2 be the respective proportions of women with iron-deficiency anemia in each of two…
A:
Q: In a clinical trial, 27 out of 841 patients taking a prescription drug daily complained of flulike…
A:
Q: An education researcher claims that at most 3% of working college students are employed as teachers…
A: Given,sample size(n)=600sample proportion (p^)=0.04α=0.01
Q: A well-known brokerage firm executive claimed that 10% of investors are currently confident of…
A:
Q: In a clinical trial, 17 out of 900 patients taking a prescription drug complaint of flu like…
A: From the provided information, Sample size (n) = 900 Out of which 17 patients taking a prescription…
Q: In a study of a group of women science majors who remained in their profession and a group who left…
A:
Q: A random sample of a size n = 25 is obtained from a population with a variance of σ2 = 400, and the…
A: The following information is provided: Population variance σ2=400 Sample size n=25 Sample…
Q: 19. A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its…
A: 19. The brewery bottles 40% Half Pint, 40% XXX, and 20% Dark Knight. A sample of 80 consumers, 26…
Q: In analyzing the consumption of cottage cheese by members of various occupational groups, the United…
A: Group 1 Group 2 Group 3 Total seldom or never 326 220 522 1068 often 511 269 721 1501 Total…
Q: c) A sample of 20 observations was divided into two equal sets after arranging for the independent…
A: Goldfeld Quandt Test : In regression analysis, the Goldfeld–Quandt test is used to check for…
Q: The appearance of leaf pigment glands in the seedling stage of cotton plants is genetically…
A:
Q: In a clinical trial, 22 out of 852 patients taking a prescription drug daily complained of flulike…
A: Given that, x = 22, n =852
Q: In a clinical trial, 20 out of 880 patients taking a prescription drug daily complained of flulike…
A: Given,n=880x=20H0:p=0.019H1:p>0.019Test statistic(z0)=0.80
Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…
A:
Q: A large manufacturing company investigated the service it received from its suppliers and discovered…
A: We have been given that, 44% of all material shipments were received late. Thus, p0 = 0.44. ∝ =…
Q: A college conducted both day and evening classes intended to be identical A sample of 100 day…
A:
Q: In a random sample of 400 residents, 220 support a 0.3% sales tax increase to build a new high…
A: The hypothesized proportion is 0.50.
Q: In a clinical trial, 17 out of 830 patients taking a prescription drug daily complained of flulike…
A:
Q: According to a certain government agency for a large country, the proportion of fatal traffic…
A: Solution: Given information: n= 109 Sample size of traffic fatalities . p0= 0.34 Population…
Q: To compare the effect of hospital prenatal nutritional counseling on newborn birthweights, we…
A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first…
Q: A manufacturer of flashlight batteries claims that the average life of her batteries is larger than…
A: Given data is342,426,317,545,264,451,1049,631,512,266,492,562,298Mean(x)=sum of the data settotal…
Q: In a clinical trial, 16 out of 861 patients taking a prescription drug daily complained of flulike…
A: Given that Sample size n = 861 Number of drug users experiencing flu like symptoms, X = 16 Level of…
Q: On analyzing 240 months of data for a particular asset class, you calculate that the returns have a…
A:
Q: 19. Step 3: Compute the test statistic -- relative discrepancies (fo-fe)² _ fe (use 3 decimal…
A: 19. The brewery bottles contains 40% Half Pint, 40% XXX, and 20% Dark Knight. A sample of 80…
Q: In a clinical trial, 27 out of 845 patients taking a prescription drug daily complained of flulike…
A:
Q: In a clinical trial, 23 out of 870 patients taking a prescription drug daily complained of flulike…
A: Givenn=870x=23p^=xn=23870=0.0264α=0.01
Q: A consumer group is investigating a producer of diet meals to examine if its prepackaged meals…
A: The random variable advertised amount of protein follows normal distribution. We have to test…
Q: Historically, the proportion of people who trade in their old car to a car dealer when purchasing a…
A: use the theory of testing of proportion .using Z test
Q: In a clinical trial, 19 out of 864 patients taking a prescription drug daily complained of flulike…
A: The sample size is 864, population proportion is 0.019. Checking condition:
Q: According to a certain government agency for a large country, the proportion of fatal traffic…
A: Given : p = 0.37 n = 114
Q: In a clinical trial, 26 out of 889 patients taking a prescription drug daily complained of flulike…
A: The random variable drug’s user experience flu like symptoms as a side effect. We have to test…
Q: A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study…
A: 1. From the given information, the claim of the test is the average amount of beef eaten annually by…
Q: Suppose a researcher is interested inthe effectiveness in a new childhood exercise program…
A: Given table represents the SRSs of students and their BMIs. Student intervention group BMI…
Q: According to a report an average person watched 4.55 hours of television per day in 2005. A random…
A:
Q: what is the null and alternative hypothesis?
A: Here use basic of hypothesis testing Here test the claim that proportion of new car buyers that…
Q: Mendel counted 4000 peas from a dihybrid cross and predicted a 9:3:3:1 phenotypic ratio with the…
A: We have to perform chi square goodness of fit test.
Q: Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a…
A: Given data: Autism Typical Development Total No Vitamin 111 70 181 Vitamin 143 159 302…
Q: A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium…
A: The categorical variable is premium lagers. It has 3 types which are Half Pint, XXX and Dark Knight.…
Q: A local brewery produces three premium lagers named Half Pint, XXX, and Dark Knight. Of its premium…
A: The number of categories (k) is 3.
Q: According to a certain government agency for a large country, the proportion of fatal traffic…
A: Given information: According to a government agency for a large country, the proportion of fatal…
Q: 12) The personnel director for a small firm thinks that employees may be more likely to use sick…
A: Solution To test the hypothesis we will use chi square test
Q: In a clinical trial, 26 out of 886 patients taking a prescription drug daily complained of flulike…
A: The value of p0 is 0.026 and the sample size n is 800.
Q: In a clinical trial, 25 out of 869 patients taking a prescription drug daily complained of flulike…
A:
Q: A major credit card company is interested in the proportion of individuals who use a competitor’s…
A: The test hypotheses are: H0: p=0.65 vs Ha: p>0.65. It is given that the p0=0.70, the p-value is…
Q: In a clinical trial, 23 out of 873 patients taking a prescription drug daily complained of flulike…
A: p0 = 0.022 1-p0 = 0.978 n = 873
Q: The following data on the left have been gathered from a randomized block design. Test for a…
A:
Q: In a clinical trial, 25 out of 852 patients taking a prescription drug daily complained of flulike…
A: Given : n = 852 X = 25
Production records indicate that in normal operation for a certain electronic component, 93% have no faults, 5% have one fault, and 2% have more than one fault. For a random sample of 500 of these components from a week’s output, 458 were found to have no faults; 30, to have one fault; and 12, to have more than one fault. Test, at the 5% level, the null hypothesis that the quality of the output from this week conforms to the usual pattern.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
- The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting 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 American population, what would the null and alternative hypotheses be?A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Formulate a hypothesis so that, if the null hypothesis is rejected, we can conclude that the average amount of beef eaten annually by consumers in Illinois is significantly less than that eaten by consumers in Texas.In a survey of 460 drivers from the South, 397 wear a seat belt. In a survey of 340 drivers from the Northeast, 281 wear a seat belt. At alpha equals 0.06 , can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).
- Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is  statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesisThe National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven 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 American population. find the p valueIn analyzing the consumption of cottage cheese by members of various occupational groups, the United Dairy Industry Association found that 326 of 837 professionals seldom or never ate cottage cheese, versus 220 of 489 white-collar workers and 522 of 1243 blue-collar workers (Sheet 53). Assuming independent samples, use the 0.03 level in testing the null hypothesis that the population proportions could be the same for the three occupational groups. Sheet 53 Group 1 Group 2 Group 3 Total seldom or never 326 220 522 1068 often 511 269 721 1501 Total 837 489 1243 2569 Select one: a) chi-square stat = 4.81, crit. value = 7.01, fail to reject H0, population proportions are not different b) p-value = 0.09, reject H0, population proportions are not different c) chi-square stat = 4.81, crit. value = 9.2, fail to reject H0, population proportions are not different d) p-value = 0.029, reject H0, population proportions different
- A low-level CDC bureaucrat wants to please his boss by gathering evidence thatthe current government-mandated shutdown of society is not causing people’s mentalhealth to deteriorate, so that it can safely be continued for several years if anyexpert says it’s necessary.He polls a random sample of 1600 citizens, gathering data on such items asincome loss, weight gain, access to toilet paper, hours spent binge-watchingNetflix, and number of injuries caused by household fights, and compiles all thisinto a scientifically-weighted “misery index”.The mean misery index from the sample is 99.2; it seems reasonable to use apopulation standard deviation σ = 19.1.a) Does this information provide significant evidence (at the 5% level) that thenationwide mean misery index is less than 100? Set up appropriate null andalternative hypotheses, calculate the appropriate test statistic, find the P-value,and state your conclusion. (10)b) A CDC press release publishing the results of this study claims that…A low-level CDC bureaucrat wants to please his boss by gathering evidence thatthe current government-mandated shutdown of society is not causing people’s mentalhealth to deteriorate, so that it can safely be continued for several years if anyexpert says it’s necessary.He polls a random sample of 1600 citizens, gathering data on such items asincome loss, weight gain, access to toilet paper, hours spent binge-watchingNetflix, and number of injuries caused by household fights, and compiles all thisinto a scientifically-weighted “misery index”.The mean misery index from the sample is 99.2; it seems reasonable to use apopulation standard deviation σ = 19.1.a) Does this information provide significant evidence (at the 5% level) that thenationwide mean misery index is less than 100? Set up appropriate null andalternative hypotheses, calculate the appropriate test statistic, find the P-value,and state your conclusion. b) A CDC press release publishing the results of this study claims that…Let p1 and p2 be the respective proportions of women with iron-deficiency anemia in each of two developing countries. A random sample of 1900 women from the first country yielded 513 women with iron-deficiency anemia, and an independently chosen, random sample of 1700 women from the second country yielded 515 women with iron-deficiency anemia. Can we conclude, at the 0.10 level of significance, that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. a. State the null hypothesis H0 and the alternative hypothesis H1. b. Find the values of the test statistic. c. FInd the p-value. d. Can we conclude that the proportion of women with anemia in the first country is less than the proportion of women with anemia in the second country?
- 31% of all pygmy softshell tortoises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha = 0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has this is sickly significantly decreased, what is the null and alternative hypothesis?An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data)