A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.5%), Married (54.7%), Widowed (2.6%), Divorced (11.2%). The...

A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.5%), Married (54.7%), Widowed (2.6%), Divorced (11.2%). The table below shows the results of a random sample of 1768 adult men from California. Test the claim that the distribution from  California is as expected at the αα = 0.05 significance level.

1. 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	544
   Married	976
   Widowed	62
   Divorced	186

   
   


2. What is the correct statistical test to use?
   Select an answer Independence Paired t-test Goodness-of-Fit Homogeneity


3. What are the null and alternative hypotheses?
   H0:H0:
   
   
   

   
   
   • Marital status and residency are dependent.
   
   
   • The distribution of marital status in California is not the same as it is nationally.
   
   
   • 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 the same as it is nationally.
   
   
   • Marital status and residency are independent.
   
   
   • Marital status and residency are dependent.
   
   
   • The distribution of marital status in California is not the same as it is nationally.
   
   

   
   
   
   


4. The degrees of freedom =
   
   
   
   
   
   


5. The test-statistic for this data =  (Please show your answer to three decimal places.)
   
   
   
   
   
   
   
   
   
   
   
   


6. The p-value for this sample = (Please show your answer to four decimal places.)
   
   
   
   
   
   


7. The p-value is Select an answer less than (or equal to) greater than  αα
   
   
   
   
   
   


8. Based on this, we should Select an answer reject the null accept the null fail to reject the null
   
   
   
   
   
   


9. Thus, the final conclusion is...
   
   
   

   
   
   • 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 not the same as it is nationally.
   
   
   • There is insufficient evidence to conclude that the distribution of marital status in California is not the same as it is nationally.
   
   
   • There is insufficient 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.