11.45 Fitness workshop worthwhile? During a fitness workshop, participants were told about the importance of proper meal timings in staying fit. All 5 female participants changed their meal times as suggested during the workshop. Out of 12 male participants, 6 shifted to proper meal times and the rest didn’t. Is there evidence that female participants had a larger probability of shifting to proper meal timings?

a. Write these results as a 2 * 2 contingency table.

b. The sampling distribution (derived from all possible 6188 permutations) for the possible counts in the first cell of the contingency table is

Find the proportion of tables that have a cell count as large or larger than the one observed.

c. Find the permutation P-value and write a conclusion for the hypothesis when using a 5% significance level.

d. Check your results by entering the contingency table from part a into the Fisher’s Exact Test web app accessible from the book’s website.

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cell count: 0 1 #perms: 2 3 4 5 6 165 1100 1980 462 6188