Test to see if there is a significant difference between the age of the participant and the age of the partner. Use a paired-sample t-test and an alpha level of 1%. How would you interpret the results of this test? a. The partners are significantly older than the participants. b. The partners are significantly younger than the participants. c. The age of the participants and partners are not significantly different. d. Sometimes the partners are older, sometimes the participants are older. Paired Samples Statistics Mean N Std. Deviation Std. Error Mean Pair 1 Age 33.12 400 9.453 .473 Partner's age 34.30 400 10.141 .507 Paired Samples Correlations N Correlation Significance One-Sided p Two-Sided p Pair 1 Age & Partner's age 400 .822 <.001 <.001 Paired Samples Test Paired Differences t df Significance Mean Std. Deviation Std. Error Mean 99% Confidence Interval of the Difference One-Sided p Two-Sided p Lower Upper Pair 1 Age - Partner's age -1.178 5.882 .294 -1.939 -.416 -4.004 399 <.001 <.001
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Have a look at the following output. . ttest age, by(unit) Two-sample t test with equal variances Group | Obs Mean Std. Err. Std. Dev. [95% Conf. Interval] PSYU1104 43 24.02326 1.70482 11.17925 20.58279 27.46372 PSYX1104 26 28.73077 .5070509 2.585462 27.68648 29.77506 combined 69 25.7971 1.109438 9.215683 23.58325 28.01095 diff -4.707513 2.23362 -9.165837 -.2491895 diff = mean(PSYU1104) - mean(PSYX1104) t = -2.1076 Ho: diff = 0 degrees of freedom = 67 Ha: diff < 0 Ha: diff != 0 Ha: diff > 0 Pr(T < t) = 0.0194 Pr(|T| > |t|) = 0.0388 Pr(T > t) = 0.9806 Which of the following is the BEST conclusion to make? Select one: a. There is a significant difference in age between PSYU1104 and PSYX1104 students b. There is no significant difference in age between PSYU1104 and PSYX1104 students c. PSYX1104 students are significantly older than PSYU1104 students d. PSYX1104 students are significantly younger than PSYU1104 students
Madhur L.
Husband and Wife Ages as Paired Data Exercise 2.213 introduces a dataset giving the ages of the two people getting married for a sample of 105 marriage licenses. All of the couples in the sample were male-female couples. We are interested in whether the sample provides evidence that husbands are, on average, older than their wives. Because this is paired data (with each husband paired with his wife), we answer this question by first finding the difference in ages (Husband's age minus Wife's age) for each couple. For the 105 differences, the mean difference is 2.829 years with a standard deviation of 4.995. Test to see if, when getting married, the average age of husbands is greater than the average age of wives. Show all details of the test. State the hypotheses. ÎĽd is the mean difference in ages of all male-female married couples. H0: ÎĽd = 0 Ha: ÎĽd > 0 Find test statistic and p-value. Test statistic = ________ (round to one decimal place) p-value = ________ (round to three decimal places) What do you conclude? a) Reject H0. We have evidence that mean age is greater for husbands. b) Do not reject H0. We do not have evidence that mean age is greater for husbands. c) Do not reject H0. We have evidence that mean age is greater for husbands. d) Reject H0. We do not have evidence that mean age is greater for husbands.
Lien L.
Test the age of the participants (AGE1) against the null hypothesis H0 = 34. Use a one-sample t-test. How would you report the results? (answer is B?) a. t = -1.862, df = 399, p > .05 b. t = -1.862, df = 399, p < .05 c. t = 1.645, df = 399, p > .05 d. t = 1.645, df = 399, p < .05 One-Sample Statistics N Mean Std. Deviation Std. Error Mean Age 400 33.12 9.453 .473 One-Sample Test Test Value = 34 t df Sig. (2-tailed) Mean Difference 95% Confidence Interval of the Difference Lower Upper Age -1.862 399 .063 -.880 -1.81 .05
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