There have been many claims in our culture that women like chocolate more than men like chocolate. After randomly sampling women and men, the results of whether they like chocolate are listed in the table.   Part A: Is their statistical evidence that the proportion of men who like chocolate is less than the proportion of women who like chocolate? Make sure in your conclusion you interpret what the p-value means in context. Part B: Find a 95% confidence interval for the difference in the proportion of Men and Women who like chocolate. Interpret your interval.  Part C: Make a connection between your interval and your conclusion in part A. Part D: Would your decision change if you created a 90% confidence interval? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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There have been many claims in our culture that women like chocolate more than men like chocolate. After randomly sampling women and men, the results of whether they like chocolate are listed in the table.

 

Part A: Is their statistical evidence that the proportion of men who like chocolate is less than the proportion of women who like chocolate? Make sure in your conclusion you interpret what the p-value means in context.

Part B: Find a 95% confidence interval for the difference in the proportion of Men and Women who like chocolate. Interpret your interval. 

Part C: Make a connection between your interval and your conclusion in part A.

Part D: Would your decision change if you created a 90% confidence interval? Explain.

# of women
# of men
# of men
surveyed
# of women
who like
who like
surveyed
chocolate
chocolate
187
207
171
216
Transcribed Image Text:# of women # of men # of men surveyed # of women who like who like surveyed chocolate chocolate 187 207 171 216
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