Question:

Dmitry suspects 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 from50%. He rolled the die40 times and got an odd number14 times. Dmitry conducts a one-proportionhypothesis testat the5% significance level, to test whether the true proportion of odds is differentfrom50%.

.

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

(b)Use Excelto test whether the true proportion of odds is different from50%.Identify the test statistic,z,and p-valuefrom the Excel output, rounding to threedecimal places.

Provide your answer below:

test statistic=

p-value=