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In: Statistics and Probability

As technology advances, teenagers who are online become more exposed and easier to find despite privacy...

As technology advances, teenagers who are online become more exposed and easier to find despite privacy measures. In a random sample, girls were less likely than boys to say that they are easy to find online from their profiles. Of 268 teenage boys with profiles, 75 say that they are easy to find online from their profiles, while out of 325 girls, 62 say they are easy to find online from their profiles.

Create a 95% confidence interval for the difference in the proportion of teenage boys who say that they are easy to find online from their profiles and that of teenage girls who say that they are easy to find online from their profiles.

Perform a hypothesis test that reflects the original aim of the experiment, at the 5% level of significance.

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