Question

In: Math

Dmitry suspects that his friend is using a weighted die for board games. To test his...

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 from 50%. He rolled the die 40 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 is different from 50%

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

(b) Use Excel to test whether the true proportion of odds is different from 50% Identify the test statistic, z, and p-value from the Excel output, rounding to three decimal places.

Solutions

Expert Solution

Let p denotes the true proportion of odds.

To compute p-value in Excel, command " = 2*NORM.DIST(-1.897367,0,1,TRUE) "


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