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(CORRECT ANSWER) MATH225N Week 8 Final Exam : Becky’s statistics teacher was teaching the class how to perform the z-test for a proportion.

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QUESTION 11

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.

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:

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

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

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

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

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