AP Statistics : How to do large sample tests of significance for differences between two proportions

Study concepts, example questions & explanations for AP Statistics

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Example Questions

Example Question #1 : Inference

We are comparing the Democratic percentage of Detroit to the Democratic percentage of Dallas. 

In Detroit, we sampled 300 people and 208 were Democrats (.693)

In Dallas, we sampled 350 people and 265 were Democrats (.757)

What is the p-value for the .064 difference?

(Assume a 2-tailed test.)

Possible Answers:

.0577

.0244

.0688

.0765

.0344

Correct answer:

.0688

Explanation:

Overall percentage =

.0344 is for one tail, so .0688 is for both tails.

(Percentages are different at the .9312 level.)

Example Question #2 : Ap Statistics

      

       

Possible Answers:

       

       

       

Correct answer:

       

Explanation:

    

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