Question

Dmitry suspected that his friend is using a weighted die for board games. To test his theory, he wants to see whether the proportion of odd numbers is different from 50%. He rolled the die 40 times and got an odd number 14 times.

Dmitry conducts a one-proportionhypothesis testat the 5% significance level, to test whether the true proportion of odds is differentfrom 50%.

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

Select the correct answer below:

H0:p=0.35; Ha:p>0.35, which is a right-tailed test.

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

H0:p=0.35; Ha:p0.35, which is a two-tailed test.

H0:p=0.5; Ha:p0.5, which is a two-tailed test.