A psychology graduate student wants to test the claim that there is a significant difference between the IQs of spouses. To test this claim, she measures the IQs of 9 married couples using a standard IQ test. The results of the IQ tests are listed in the following table. Using a 0.02 level of significance, test the claim that there is a significant difference between the IQs assuming that the population distribution of the paired differences is approximately normal. Let the spouse 1 group be Population 1 and let the spouse 2 group be Population 2.

IQs of Married Couples
Spouse 1 122 129 105 103 114 119 111 127 105
Spouse 2 122 131 107 106 118 122 112 126 108
Copy Data

Step 1 of 3:

State the null and alternative hypotheses for the test. Fill in the blank below.


H0: μd = 0

Ha: μd_____0

Answer choices:

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Step 2 of 3:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 3 of 3:

a. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the claim that there is a significant difference between the IQs of spouses.
b. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the claim that there is a significant difference between the IQs of spouses.
c. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the claim that there is a significant difference between the IQs of spouses.
d. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the claim that there is a significant difference between the IQs of spouses.