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MMLU / After receiving several complaints from his customers about the store being…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

After receiving several complaints from his customers about the store being closed on Sundays, a storekeeper decided to conduct a survey. He randomly selected 100 female customers and 120 male customers, and asked them, "Are you interested in shopping at this store on Sundays?" He counted the number of customers answering "yes" and constructed a 95 percent confidence interval for the difference by subtracting the proportions of female from the proportion of male customers in favor of shopping on Sundays. The resulting interval was (–0.23, –0.18). Which of the following is a correct interpretation of the interval?

choices

  1. We are 95 percent confident that the proportion of women interested in shopping on Sundays exceeds the proportion of men interested in shopping on Sundays.
  2. We are 95 percent confident that the proportion of men interested in shopping on Sundays exceeds the proportion of women interested in shopping on Sundays.
  3. We are 95 percent confident that the proportion of women interested in shopping on Sundays is equal to the proportion of men interested in shopping on Sundays.
  4. Because the interval contains negative values, it is invalid and should not be interpreted.

subject

high_school_statistics

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Source and history

task_id
f8f00a40-d5a7-5bb8-bb60-fee9d610cb35
task_key
all--test--f8f00a40-d5a7-5bb8-bb60-fee9d610cb35
task_revision_id
1
config / split
all / test

Official source

initial import