Question

When 3014 adults were surveyed in a​ poll, 79​% said that they use the Internet. Is it okay for a newspaper reporter to write that ​"3/4 of all adults use the​ Internet"? Why or why​ not? Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

Identify the null and alternative hypotheses. Choose the correct answer below.

A. H0​: =0.75 H1​: p <0.75

B. H0​: p =0.75 H1​: p ≠0.75

C. H0​: p =0.25 H1​: p ≠0.25

D. H0​: =0.75 H1​: p >0.75

E.H0​: p =0.25 H1​: p >0.25

F. H0​: =0.25 H1​: <0.25

The test statistic is

z =  ​(Round to two decimal places as​ needed.)

The​ P-value =  ​(Round to four decimal places as​ needed.)

Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.​ (Assume a 0.05 significance​ level.)

sufficient evidence to warrant rejection of the claim that 3/4 of all adults use the Internet. The reporter should not write 3/4 of all adults use the Internet.

Answer 1

Conclusion: We conclude that there is sufficient evidence to warrant rejection of the claim that 3/4 of all adults use the Internet. The reporter should not write 3/4 of all adults use the Internet.