Homework Help is Here – Start Your Trial Now!
Math
Statistics
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? 208 of the 684 couples from the study who lived together before they got married were divorced within five years of marriage. 120 of the 457 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 z-test for the difference between two population proportions a. The null and alternative hypotheses would be:

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? 208 of the 684 couples from the study who lived together before they got married were divorced within five years of marriage. 120 of the 457 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 z-test for the difference between two population proportions a. The null and alternative hypotheses would be:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
B AND C ONLY
## Study on Divorce Rates: Cohabitation vs. Living Apart Before Marriage #### Research Question: 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? #### Data: - **Lived Together Before Marriage:** - Number of couples: 684 - Divorced within five years: 208 - **Lived Apart Before Marriage:** - Number of couples: 457 - Divorced within five years: 120 #### Objective: Determine what can be concluded at the \(\alpha = 0.10\) level of significance. #### Methodology: For this study, we should use a **z-test for the difference between two population proportions**. #### Steps: 1. **Formulate Hypotheses:** - Null Hypothesis (\(H_0\)): \( p_1 = p_2 \) - Alternative Hypothesis (\(H_1\)): \( p_1 > p_2 \) 2. **Calculate the Test Statistic:** - The test statistic (\( z \)) is to be computed. Ensure to show the answer to three decimal places. 3. **Determine p-value:** - Compute the p-value and show it to four decimal places. This will help determine if there’s a statistically significant difference in divorce rates within the first five years of marriage between couples who cohabitate and those who do not before getting married.
Transcribed Image Text:## Study on Divorce Rates: Cohabitation vs. Living Apart Before Marriage #### Research Question: 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? #### Data: - **Lived Together Before Marriage:** - Number of couples: 684 - Divorced within five years: 208 - **Lived Apart Before Marriage:** - Number of couples: 457 - Divorced within five years: 120 #### Objective: Determine what can be concluded at the \(\alpha = 0.10\) level of significance. #### Methodology: For this study, we should use a **z-test for the difference between two population proportions**. #### Steps: 1. **Formulate Hypotheses:** - Null Hypothesis (\(H_0\)): \( p_1 = p_2 \) - Alternative Hypothesis (\(H_1\)): \( p_1 > p_2 \) 2. **Calculate the Test Statistic:** - The test statistic (\( z \)) is to be computed. Ensure to show the answer to three decimal places. 3. **Determine p-value:** - Compute the p-value and show it to four decimal places. This will help determine if there’s a statistically significant difference in divorce rates within the first five years of marriage between couples who cohabitate and those who do not before getting married.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS