What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) --Select-- O Part () What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O I H, is false, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is at most -0.7. O I Ho is false, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is greater than -0.7. O I Ho is true, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is at most -0.7. O If Ha is true, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is greater than -0.7.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5
(strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is
negative (meaning that, within the partnership, the husband is happier than the wife).
Wife's score
4
1
1
2
4
Husband's score
1
3
2
1
1
1
4
NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
+ Part (a)
+ Part (b)
+ Part (c)
+ Part (d)
Part (e)
What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
---Select---V =
Part (f)
What is the p-value? (Round your answer to four decimal places.)
Explain what the p-value means for this problem.
O If Ho is false, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is at most -0.7.
O If Ho is false, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is greater than -0.7.
O If Ho is true, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is at most -0.7.
If Ho is true, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is greater than -0.7.
Transcribed Image Text:One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 4 1 1 2 4 Husband's score 1 3 2 1 1 1 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) + Part (a) + Part (b) + Part (c) + Part (d) Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) ---Select---V = Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is at most -0.7. O If Ho is false, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is greater than -0.7. O If Ho is true, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is at most -0.7. If Ho is true, then there is a chance equal to the p-value that the sample average difference between the husbands' scores and the wives' scores is greater than -0.7.
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