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.