1.If, in a (twotail) hypothesis test, the pvalue is 0.0081, what is your statistical decision if you test the null hypothesis at the 0.01 level of significance? Choose the correct answer below? A.Since the pvalue is less than alpha comma, do not reject do not reject H0. B.Since the pvalue is Less than alpha comma, Reject H0. C.Since the pvalue is Greater than alpha comma, Reject H0. D.Since the pvalue is Greater than alpha comma, do not reject H0. 2.The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 100 random students at a certain university finds that 25 use the browser. Complete parts (a) through (d) below. a. At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%? Determine the null and alternative hypotheses. A.H0: 0.205; H1: < 0.205 B.H0: 0.205; H1: > 0.205 C.H0: 0.205; H1: =0.205 D.H0: = 0.205; H1: 0.205 Calculate the test statistic. Z STAT = (Type an integer or a decimal. Round to two decimal places as needed.) What is the pvalue? The pvalue is .(Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test using this second sample at the 0.05 level of significance. or Reject the null hypothesis. There is do not reject or sufficient evidence to conclude that insufficient the market share at the university is or greater than, at least, not equal to, at most, equal to less than the worldwide market share of 20.5%. b. Suppose that a sample of n =800 students at the same university (instead of n =100) determines that 25% of the sample use the web browser. At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%? Calculate the test statistic for the second sample. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.) What is the pvalue for the second sample? The pvalue is .(Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test using this second sample at the 0.05 level of significance. or do not reject Reject the null hypothesis. There is or sufficient evidence to conclude that the market share insufficient at the university is or less than, equal to, at least, greater than or not equal to the worldwide at most market share of 20.5%. c. Compare the results of (a) and (b) and discuss the effect that sample size has on the outcome, and, in general, in hypothesis testing. Choose the correct answer below. A.Increasing the sample size had a major effect on being able to reject the null hypothesis. B.Increasing the sample size had a major effect on not being able to reject the null hypothesis. C.Increasing the sample size did not affect not being able to reject the null hypothesis. D.Increasing the sample size did not affect being able to reject the null hypothesis. d. What do you think are your chances of rejecting any null hypothesis concerning a population proportion if a sample size of n = 20 is used? The likelihood of rejecting a null hypothesis with n =20 is relatively because low or high sample proportion decreases, test statistic increases, sample proportion increases, or test statistic decreases as n decreases. 3.The qualitycontrol manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,516 hours. The population standard deviation is 92 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,493 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7 comma 516 hours question mark 7,516 hours? b. Compute the pvalue and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? a.Let be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: = H1: What is the test statistic? ZSTAT = (Round to two decimal places as needed.) What is/are the critical value(s)? nothing (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A.Reject H0. There is sufficient evidence to prove that the mean life is different from 7,516 hours. B.Fail to reject H0. There is sufficient evidence to prove that the mean life is different from 7,516 hours. C.Reject H0. There is not sufficient evidence to prove that the mean life is different from 7,516 hours. D.Fail to reject H0. There is not sufficient evidence to prove that the mean life is different from 7,516 hours. b. What is the pvalue? (Round to three decimal places as needed.) Interpret the meaning of the pvalue. Choose the correct answer below. A.Fail to reject H0. There is not sufficient evidence to prove that the mean life is different from 7,516 hours. B.Reject H0. There is not sufficient evidence to prove that the mean life is different from 7,516 hours. C. Fail to reject H0. There Is sufficient evidence to prove that the mean life is different from 7,516 hours. D.Reject H0. There Is sufficient evidence to prove that the mean life is different from 7,516 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs l (Round to one decimal place as needed.) d. Compare the results of (a) and (c). What conclusions do you reach? A.The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,516 hours. B.The results of (a) and (c) are not the same: there Is sufficient evidence to prove that the mean life is different from 7,516 hours. C.The results of (a) and (c) are the same: there Is sufficient evidence to prove that the mean life is different from 7,516 hours. D.The results of (a) and (c) are not the same: there is not sufficient evidence to prove that the mean life is different from 7,516 hours. 4.You are the manager of a restaurant for a fastfood franchise. Last month, the mean waiting time at the drivethrough window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.8 minutes. You select a random sample of 81 orders. The sample mean waiting time is 3.94 minutes, with a sample standard deviation of 0.9 minute. Complete parts (a) and (b) below. a.At the 0.01 level of significance, is there evidence that the population mean waiting time is different from 3.8 minutes? State the null and alternative hypotheses. H0: or equals equals= , less than< , less than or equals , not equals , greater than> ,greater than H1: or equals not equals , greater than> , less than< , less than or equals , equals= , greater than (Type integers or decimals.) Determine the test statistic. The test statistic is .(Round to two decimal places as needed.) Find the pvalue. pvalue = (Round to three decimal places as needed.) State the conclusion. or Reject H0. There is do not reject or sufficient evidence to conclude that the population insufficient mean waiting time is different from 3.8 minutes. b. Because the sample size is 81, do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? Explain. Choose the correct answer below. A.No, because n is equal to 81, the sampling distribution of the t test is approximately normal. In general, the t test is appropriate for a large sample size. B.Yes, because n is equal to 81, the sampling distribution of the t test cannot be determined. In general, the t test is only appropriate for a normally distributed sample. C. Yes, because n is equal to 81, the sampling distribution of the t test cannot be determined. In general, the t test requires a larger sample size. D.No, because n is equal to 81, the sampling distribution of the t test is approximately normal. In general, the t test is appropriate for this sample size unless the population is skewed. 5.As a result of complaints from both students and faculty both students and faculty about lateness, the registrar at a large university large university is ready to undertake a study to determine whether the scheduled break whether the scheduled break between classes should be changed between classes should be changed. Until now, the registrar has believed that there should be that there should be 20 Minutes between scheduled classes. What are the null and alternative hypotheses? H0: , X , , s, or or = s, , , X, H1: or = 6.A hospital was concerned about reducing its wait time. A targeted wait time goal of 25 minutes was set. After implementing an improvement framework and process, a sample of 355 patients showed the mean wait time was 23.23 minutes, with a standard deviation of 16.65 minutes. Complete parts (a) and (b) below. a.If you test the null hypothesis at the 0.01 level of significance, is there evidence that the population mean wait time is less than 25 minutes? State the null and alternative hypotheses. A.H0: 25 H1: 25 B.H0: <25 h1: 25 c.h0: d. h0: <25>25 E.H0: >25 H1: <25 needed.)