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In a study investigating the difference in food preferences between men and women, researchers asked subjects...

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Statistics

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.

Answer & Explanation Solved by verified expert
4.1 Ratings (773 Votes)
Let the sample proportion of men who dislike lamb be p1 Herep102 Let the sample size of men be n175Let the sample proportion of women who dislike lamb bep2 Here p2038 Let the sample size of womenbe    See Answer
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