In a study investigating the difference in food preferencesbetween men and women, researchers asked subjects to indicatewhether they like or disliked certain foods. One question was aboutlamb. Twenty percent of a sample of 75 men disliked lamb, while 38%of a sample of 100 women indicated that they disliked lamb. Testthe claim that there is a difference in the proportions of men andwomen who dislike lamb.
Indicate the correct set of statistical hypotheses for thistest.
What is the test statistic?
What is the p-value for this test?
What is your decision regarding the null?
Provide the confidence interval.
Please describe why the confidence interval and hypothesis testare consistent.