Question 1

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 3 4 1 3 4 2 1 1 2 4

Husband's score 2 3 1 3 2 1 1 1 2 4

NOTE: If you are using a Student'st-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

What is the test statistic? (If using thezdistribution round your answer to two decimal places, and if using thetdistribution round your answer to three decimal places.)

t=__________

part b

What is thep-value? (Round your answer to four decimal places.)

p=___________

Question 2

While her husband spent 2 hours picking out new speakers, a statistician decided to determine whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. The population was Saturday afternoon shoppers. Out of66men,22said they enjoyed the activity.Eightof the25women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level. Let the subscriptm= menandw= women.

NOTE: If you are using a Student'st-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

State the distribution to use for the test. (Round your answers to four decimal places.)

P'_mP'_w~_______(________,________)

part b

What is the test statistic? (If using thezdistribution round your answer to two decimal places, and if using thetdistribution round your answer to three decimal places.)

z=__________

part c

What is thep-value? (Round your answer to four decimal places.)

p=____________

Question 3

Ten individuals went on a low-fat diet for 12 weeks to lower their cholesterol. The data are recorded in the table below. Do you think that their cholesterol levels were significantly lowered? Conduct a hypothesis test at the 5% level.

Starting cholesterol level Ending cholesterol level

150 150

210 240

100 110

240 220

200 190

180 150

190 200

360 300

280 300

260 240

NOTE: If you are using a Student'st-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

What is the test statistic? (If using thezdistribution round your answer to two decimal places, and if using thetdistribution round your answer to three decimal places.)

t=__________

part b

What is thep-value? (Round your answer to four decimal places.)

p=__________

Thank you for the help. I am really struggling in one particular spot so I appreciate all the help I can get.