Respuesta :
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 and p₂ = 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, [tex]H_0[/tex] : [tex]p_1=p_2[/tex]
Alternate Hypothesis, [tex]H_1[/tex] : [tex]p_1\neq p_2[/tex]
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 [tex]p_1[/tex] = proportion of unemployed Americans who had major problems in relationships as a result of their employment status.
and [tex]p_2[/tex] = 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, [tex]H_0[/tex] : [tex]p_1=p_2[/tex] {means proportions of unemployed and underemployed people who had relationship problems are same}
Alternate Hypothesis, [tex]H_1[/tex] : [tex]p_1\neq p_2[/tex] {means proportions of unemployed and underemployed people who had relationship problems were different}
And for testing we will z-test with corresponding test statistics.
