QuestionThe Gallup organization recently conducted a survey of 1,015 randomly selected U.S. adults about "Black Friday" shopping. They asked the following question:
"As you know, the Friday after Thanksgiving is one of the biggest shopping days of the year.
Looking ahead, do you personally plan on shopping on the Friday after Thanksgiving, or not?"
Of the 515 men who responded, said "Yes." Of the 500 women who responded, 20\% said "Yes."
Construct a 95\% confidence interval for the difference between the proportion of men and women who planned to shop on the Friday after Thanksgiving. Use three decimal places when computing the margin of error.
Studdy Solution
Our 95% confidence interval for the difference in proportions is .
This means we're 95% confident that the *true* difference between the proportion of men and women who plan to shop on Black Friday is somewhere between -0.087 and 0.007.
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