Question

The worldwide market share for a web browser was 20.1​% in a recent month. Suppose that a sample of 100 random students at a certain university finds that 25 use the browser.

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 20.1​%?

Determine the null and alternative hypotheses.

Calculate the test statistic.

The​ p-value is

State the conclusion of the test.

B. Suppose that a sample of n=400 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 20.1​%?

Calculate the test statistic for the second sample.

What is the​ p-value for the second​ sample?

The​ p-value is

State the conclusion of the test using this second sample at the 0.05 level of significance.

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.

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 ( HIGH OR LOW)

Answer 1