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What test should you use to answer these questions? Assume all samples are simpl

ID: 3310412 • Letter: W

Question

What test should you use to answer these questions? Assume all samples are simple random samples and (alpha) is taken to be 0.05.


In a certain city, there are about 250,000 eligible voters. A sample of male voters and a sample of female voters were taken to study the relationship between sex and participation in the last election. The results:


Men that voted 850
Women that voted 1024
Men that didn’t vote 750
Women that didn’t vote 976


Is participation in the election the same for males and females?

Question 1 options:

1)

2)

3)

4)

5)

6)

1)

One sample z-test for the population mean.

2)

two sample z-test for the population means.

3)

One sample z-test for proportions.

4)

two sample z-test for proportions.

5)

one sample t-test for the population mean.

6)

None of our hypothesis tests fit.

Explanation / Answer

Here we can see that sample size is too large so we can use z distribution

Further it can be seen that this is to test between two samples one of men and other one of women

Here we need to check that the relationship between sex and participation in the last election, which means proportion of men and women in election

Hence answer is 4. two sample z-test for proportions

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