MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Are couples that live together before they get married more likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 195 of the 647 couples from the study who lived together before they got married were divorced within five years of marriage. 122 of the 453 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the a = 0.05 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 p2 H1: p1 p2 b. The test statistic z v 1.157 X (please show your answer to 3 decimal places.) c. The p-value =|0.1236 (Please show your answer to 4 decimal places.) d. The p-value is >v a e. Based on this, we should fail to reject vv the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude the percent of all couples that live together before they get married who end up divorced within five years of marriage is greater than the percent of all couples that live apart before they get married who end up divorced within five years of marriage. The results are statistically insignificant at a = 0.05, so there is statistically significant evidence to conclude that the divorce rate for all couples that live together before they get married is equal to the divorce rate for all couples that live apart before they get married. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the percent of all couples that live together before they get married who end up divorced within five years of marriage is greater than the percent of all couples that live apart before they get married who end up divorced within five years of marriage. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the percent of the 647 couples that lived together before they got married who ended up divorced within five years of marriage is greater than the percent of the 453 couples that lived apart before they got married who ended up divorced within five years of marriage.
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Transcribed Image Text:Are couples that live together before they get married more likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 195 of the 647 couples from the study who lived together before they got married were divorced within five years of marriage. 122 of the 453 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the a = 0.05 level of significance? For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: p1 p2 H1: p1 p2 b. The test statistic z v 1.157 X (please show your answer to 3 decimal places.) c. The p-value =|0.1236 (Please show your answer to 4 decimal places.) d. The p-value is >v a e. Based on this, we should fail to reject vv the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude the percent of all couples that live together before they get married who end up divorced within five years of marriage is greater than the percent of all couples that live apart before they get married who end up divorced within five years of marriage. The results are statistically insignificant at a = 0.05, so there is statistically significant evidence to conclude that the divorce rate for all couples that live together before they get married is equal to the divorce rate for all couples that live apart before they get married. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the percent of all couples that live together before they get married who end up divorced within five years of marriage is greater than the percent of all couples that live apart before they get married who end up divorced within five years of marriage. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the percent of the 647 couples that lived together before they got married who ended up divorced within five years of marriage is greater than the percent of the 453 couples that lived apart before they got married who ended up divorced within five years of marriage.
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