How to find sampling distribution of a sample proportion - AP Statistics

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Question

A researcher wants to determine whether there is a significant linear relationship between time spent meditating and time spent studying. What is the appropriate null hypothesis for this study?

Answer

This question is about a linear regression between time spent meditating and time spent studying. Therefore, the hypothesis is regarding Beta1, the slope of the line. We are testing a non-directional or bi-directional claim that the relationship is significant. Therefore, the null hypothesis is that the relationship is not significant, meaning the slope of the line is equal to zero.

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Question

The president of a country is trying to estimate the average income of his citizens. He randomly samples residents and collects information about their salaries. A percent confidence interval computed from this data for the mean income per citizen is Which of the following provides the best interpretation of this confidence interval?

Answer

A confidence interval is a statement about the mean of the population the sample is drawn from so there is a percent probability that a percent confidence interval contains the true mean of the population.

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