Some of the following questions might be more challenging, but we want you to wrestle through them and ask for clarification along the way. We hope that, ultimately, working through these problems will strengthen your understanding of the big ideas behind confidence intervals. 12. What proportion of college students pursue academic minors? To estimate this unknown population proportion, a researcher gathers a random sample of data and constructs a 95% confidence interval. The interval ends up being from 0.46 to 0.62. From this information, we know the sample proportion must be ____________ and the margin of error must be ______________.

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Some of the following questions might be more challenging, but we want you to wrestle through them and ask for clarification along the way. We hope that, ultimately, working through these problems will strengthen your understanding of the big ideas behind confidence intervals.
12. What proportion of college students pursue academic minors? To estimate this unknown
population proportion, a researcher gathers a random sample of data and constructs a
95% confidence interval. The interval ends up being from 0.46 to 0.62. From this
information, we know the sample proportion must be ____________ and the margin of
error must be ______________.

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