A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (32.5%), Married (53.5%), Widowed (2.8%), Divorced (11.2%). The table below shows the results of a random sample of 1628 adult men from California. Test the claim that the distribution from California is as expected at the αα = 0.10 significance level. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 538 Married 868 Widowed 55 Divorced 167 What is the correct statistical test to use? Select an answer Independence Goodness-of-Fit Homogeneity Paired t-test What are the null and alternative hypotheses? H0:H0: The distribution of marital status in California is not the same as it is nationally. Marital status and residency are dependent. The distribution of marital status in California is the same as it is nationally. Marital status and residency are independent. H1:H1: The distribution of marital status in California is not the same as it is nationally. Marital status and residency are dependent. The distribution of marital status in California is the same as it is nationally. Marital status and residency are independent.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (32.5%), Married (53.5%), Widowed (2.8%), Divorced (11.2%). The table below shows the results of a random sample of 1628 adult men from California. Test the claim that the distribution from California is as expected at the αα = 0.10 significance level.

Complete the table by filling in the expected frequencies. Round to the nearest whole number:
Frequencies of Marital Status

Outcome Frequency Expected Frequency

Never Married 538

Married 868

Widowed 55

Divorced 167
What is the correct statistical test to use?
Select an answer Independence Goodness-of-Fit Homogeneity Paired t-test
What are the null and alternative hypotheses?
H0:H0:
- The distribution of marital status in California is not the same as it is nationally.
- Marital status and residency are dependent.
- The distribution of marital status in California is the same as it is nationally.
- Marital status and residency are independent.
H1:H1:
- The distribution of marital status in California is not the same as it is nationally.
- Marital status and residency are dependent.
- The distribution of marital status in California is the same as it is nationally.
- Marital status and residency are independent.
The degrees of freedom =
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer less than (or equal to) greater than αα
Based on this, we should Select an answer fail to reject the null accept the null reject the null
Thus, the final conclusion is...
- There is insufficient evidence to conclude that marital status and residency are dependent.
- There is insufficient evidence to conclude that the distribution of marital status in California is not the same as it is nationally.
- There is sufficient evidence to conclude that the distribution of marital status in California is not the same as it is nationally.
- There is sufficient evidence to conclude that marital status and residency are dependent.
- There is sufficient evidence to conclude that the distribution of marital status in California is the same as it is nationally.

Outcome	Frequency	Expected Frequency
Never Married	538
Married	868
Widowed	55
Divorced	167

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