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A scientist was interested in studying if students religious beliefs change as they go through college....

A scientist was interested in studying if students religious beliefs change as they go through college. One hundred randomly selected students were asked before they entered college if they would consider themselves religious, yes or no. Four years later, the same one hundred students were asked if they would consider themselves religious, yes or no. The scientist decided to perform McNemar's test. The data is below. Are the assumptions met for McNemar's test?

After College

Before College Yes   No

Yes 55 23

No 11 11

A. Yes, n is greater than 30.

B. No, YN+NY is not greater than or equal to 30.

C. No, n is not greater than 30.

D. Yes, n is greater than 15.

E. Yes, YN + NY is greater than or equal to 30.

math   Statistics-And-Probability   
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Answer #1

Answer

We know that the sample size assumption for McNemar's test is that the sum of YN and NY must be greater than or equal to 30

In this case

YN = 23 and NY = 11

this implies

YN+NY = 23+11 = 34

So, sample size assumption is met.

option E is correct

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