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A survey was conducted of male high school students to determine the proportion of male students...

A survey was conducted of male high school students to determine the proportion of male students planning to attend college or university. A survey was also conducted of female high school students to determine the proportion of female students planning to attend college or university. In the survey of male high school students, a group of 10,000 students were polled, and 71% indicated they were planning to attend college or university. In the survey of female high school students, a group of 9500 students were polled, and 75% indicated they were planning to attend college or university.

Use a calculator to construct a 90% confidence interval for the difference in population proportions p1−p2, where p1 represents the population proportion of male students who are planning to attend college or university and p2 represents the population proportion of female students who are planning to attend college or university.

Round your answers to three decimal places.

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