Question

The worldwide market share for a web browser was 20.5​% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 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​: piequals0.205​; H1​: pinot equals0.205 B. H0​: pinot equals0.205​; H1​: piequals0.205 C. H0​: pigreater than or equals0.205​; H1​: piless than0.205 D. H0​: piless than or equals0.205​; H1​: pigreater than0.205 Calculate the test statistic. Upper Z Subscript STATequals nothing ​(Type an integer or a decimal. Round to two decimal places as​ needed.) What is the​ p-value? The​ p-value is nothing. ​(Type an integer or a decimal. Round to three decimal places as​ needed.) State the conclusion of the test. ▼ Reject Do not reject the null hypothesis. There is ▼ insufficient sufficient evidence to conclude that the market share at the university is ▼ less than not equal to at least equal to at most greater than the worldwide market share of 20.5​%. b. Suppose that a sample of nequals400 students at the same university​ (instead of nequals200​) 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. Upper Z Subscript STATequals nothing ​(Type an integer or a decimal. Round to two decimal places as​ needed.) What is the​ p-value for the second​ sample? The​ p-value is nothing. ​(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. ▼ Reject Do not reject the null hypothesis. There is ▼ insufficient sufficient evidence to conclude that the market share at the university is ▼ greater than at most at least less than not equal to equal to the worldwide 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 not being able to reject the null hypothesis. B. Increasing the sample size had a major effect on 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

Answer 1

C) Increasing the sample size had a major effect on being able to reject the null hypothesis

OPTION B