## A USA Today/Gallup poll asked a group of unemployed and underemployed Americans if they have had major problems in their relationships with

A USA Today/Gallup poll asked a group of unemployed and underemployed Americans if they have had major problems in their relationships with their spouse or another close family member as a result of not having a job (if unemployed) or not having a full-time job (if underemployed). 27% of the 1,145 unemployed respondents and 25% of the 675 underemployed respondents said they had major problems in relationships as a result of their employment status. (a) What are the hypotheses for evaluating if the proportions of unemployed and underemployed people who had relationship problems were different

## Answers ( )

Answer:Null hypothesis:

H₀:p₁ =p₂.Alternate hypothesis:

H₀:p₁ ≠p₂.Step-by-step explanation:A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.

Let

p₁= the proportion of unemployed people who had relationship problems andp₂= the proportion of underemployed people who had relationship problems.A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.

Use a

z-test for the test statistic.The hypothesis test is:

H₀:There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e.p₁ =p₂.Hₐ:There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e.p₁ ≠p₂.Answer:Null Hypothesis,:Alternate Hypothesis,:Step-by-step explanation:We are given that A USA Today/Gallup poll asked a group of unemployed and underemployed Americans if they have had major problems in their relationships with their spouse or another close family member as a result of not having a job (if unemployed) or not having a full-time job (if underemployed).

Also, 27% of the 1,145 unemployed respondents and 25% of the 675 underemployed respondents said they had major problems in relationships as a result of their employment status.

Now, let = proportion of unemployed Americans who had major problems in relationships as a result of their employment status.

and = proportion of underemployed Americans who had major problems in relationships as a result of their employment status.

Now, the hypotheses for evaluating if the proportions of unemployed and underemployed people who had relationship problems were different is given by;

Null Hypothesis,: {means proportions of unemployed and underemployed people who had relationship problems are same}Alternate Hypothesis,: {means proportions of unemployed and underemployed people who had relationship problems were different}And for testing we will z-test with corresponding test statistics.