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 zv =| 1.157 X (please show your answer to 3 decimal places.)
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 zv =| 1.157 X (please show your answer to 3 decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf5af030-9688-4f16-ad7a-d188b1b4469e%2F1bd36d6e-6115-4fc4-95ba-db1d759e07d0%2Fr3kvosa_processed.jpeg&w=3840&q=75)
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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