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

Study concepts, example questions & explanations for AP Statistics

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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?

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Correct answer:

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.

Example Question #162 : Ap Statistics

      

       

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Example Question #2 : Sampling Distributions

     

    

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Example Question #1 : Sampling Distributions

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?

Possible Answers:

  percent of the citizens of the country have an income that is between  and 

There is a  percent probability that the mean of another sample with the same size will fall between  and 

There is a  percent probability that all the citizens of the country have an income  between  and 

There is a   percent probability that the mean income per citizen in the school is between  and  

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 

Correct answer:

There is a   percent probability that the mean income per citizen in the school is between  and  

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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