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A scientist was interested in studying if students religious beliefs change as t

ID: 3155911 • Letter: A

Question

A scientist was interested in studying if students religious beliefs change as they go through college. Two hundred randomly selected students were asked before they entered college if they would consider themselves religious, yes or no. Four years later, the same two 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. What is the test statistic?
After College
Before College Yes No
Yes 110 30
No 38 22

Explanation / Answer

A scientist was interested in studying if students religious beliefs change as they go through college. Two hundred randomly selected students were asked before they entered college if they would consider themselves religious, yes or no. Four years later, the same two 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. What is the test statistic?
After College
Before College Yes No
Yes                      110 30
No                         38 22

McNemar's test chi square = (b-c)2/(b+c) = (30-38)2/(30+38) =0.941

McNemar's test chi square with continuity correction= (|b-c|-1)2/(b+c) = (|30-38|-1)2/(30+38) =0.721

The calculated test value < 3.841, the table value, the null hypothesis is not rejected.


test value = -0.97

McNemar Test Observed Frequencies Column variable Row variable C1 C2 Total R1 110 30 140 R2 38 22 60 Total 148 52 200 Data Level of Significance 0.05 Intermediate Calculations Numerator -8 Denominator 8.246211 Z Test Statistic -0.97014


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