Question

Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times.

Answer 1

I am sorry to say but you have not shared the full details of the question but as I have already seen this question previously, I am sharing it for you to understand.

Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%.

Which answer choice shows the correct null and alternative hypotheses for this test?

Select the correct answer below:

A: H0:p=0.6; Ha:p>0.6, which is a right-tailed test.

B: H0:p=0.5; Ha:p<0.5, which is a left-tailed test.

C: H0:p=0.6; Ha:p≠0.6, which is a two-tailed test.

D: H0:p=0.5; Ha:p≠0.5, which is a two-tailed test.

The correct answer is D: that is

H0:p=0.5; Ha:p≠0.5, which is a two-tailed test.

If you have any doubts please let me know.