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

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Example Questions

Example Question #1 : Sampling Distributions

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?

Possible Answers:

$\beta_{1} > 0$

$\beta_{1} \neq 0$

$\beta_{1} < 1$

$\beta_{1} = 0$

$\beta_{1} = 5$

Correct answer:

$\beta_{1} = 0$

Explanation:

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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Example Question #102 : Statistical Patterns And Random Phenomena

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Correct answer:

Explanation:

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Example Question #1 : Sampling Distributions

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Correct answer:

Explanation:

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Example Question #1 : How To Find Sampling Distribution Of A Sample Proportion

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 ($35,095, $45,005). Which of the following provides the best interpretation of this confidence interval?

Possible Answers:

There is a percent probability that the mean income per citizen in the school is between $\$35,095$ and $\$45,005.$

There is a percent probability that the mean of another sample with the same size will fall between $\$35,095$ and $\$45,005.$

If he was to take another sample of the same size and compute a percent confidence interval, we would have a percent chance of getting the interval ($35,095, $45,005).

There is a percent probability that all the citizens of the country have an income between $\$35,095$ and $\$45,005.$

percent of the citizens of the country have an income that is between $\$35,095$ and $\$45,005.$

Correct answer:

There is a percent probability that the mean income per citizen in the school is between $\$35,095$ and $\$45,005.$

Explanation:

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

Study concepts, example questions & explanations for AP Statistics

All AP Statistics Resources

Example Questions

Example Question #1 : Sampling Distributions

Example Question #102 : Statistical Patterns And Random Phenomena

Example Question #1 : Sampling Distributions

Example Question #1 : How To Find Sampling Distribution Of A Sample Proportion

All AP Statistics Resources

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