Dmitry suspects that his friend is using a weighted die forboard games. To test his theory, he wants to see whether theproportion of odd numbers is different from 50%. He rolled the die40 times and got an odd number 14 times.
Dmitry conducts a one-proportion hypothesis test at the 5%significance level, to test whether the true proportion of odds isdifferent from 50%
(a) H0:p=0.5H0:p=0.5; Ha:p?0.5Ha:p?0.5, which is atwo-tailed test.
(b) Use Excel to test whether the true proportion of odds isdifferent from 50% Identify the test statistic, z, and p-value fromthe Excel output, rounding to three decimal places.
