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? 217 of the 671 couples from the study who lived together before they got married were divorced within five years of marriage. 132 of the 421 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the  = 0.10 level of significance? For this study, we should use        The null and alternative hypotheses would be:                                            The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is      Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.10, 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 insignificant at αα = 0.10, 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 significant at αα = 0.10, so there is sufficient evidence to conclude that the percent of the 671 couples that lived together before they got married who ended up divorced within five years of marriage is greater than the percent of the 421 couples that lived apart before they got married who ended up divorced within five years of marriage. The results are statistically significant at αα = 0.10, 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.

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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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? 217 of the 671 couples from the study who lived together before they got married were divorced within five years of marriage. 132 of the 421 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the  = 0.10 level of significance?

For this study, we should use       

  1. The null and alternative hypotheses would be:   
  2.   

                   

                

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically insignificant at αα = 0.10, 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 insignificant at αα = 0.10, 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 significant at αα = 0.10, so there is sufficient evidence to conclude that the percent of the 671 couples that lived together before they got married who ended up divorced within five years of marriage is greater than the percent of the 421 couples that lived apart before they got married who ended up divorced within five years of marriage.
    • The results are statistically significant at αα = 0.10, 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.
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