Unemployment and relationship problems: A USA Today/Gallup poll conducted between 2010 and 2011 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? (. )Ho: punemployed = punderemployed Ha: punemployed ≠ punderemployed (. )Ho: punemployed = punderemployed Ha: punemployed > punderemployed (. )Ho: punemployed = punderemployed Ha: punemployed < punderemployed (b) The p-value for this hypothesis test is approximately 0.35. Explain what this means in context of the hypothesis test and the data. (. )Since p<α we fail to reject the null hypothesis (. )Since p ≥ α we reject the null hypothesis and accept the alternative (. )Since p ≥ α we do not have enough evidence to reject the null hypothesis (. )Since p<α we reject the null hypothesis and accept the alternative (. )Since p ≥ α we accept the null hypothesis
4.46 Unemployment and relationship problems: A USA Today/Gallup poll conducted between 2010 and 2011 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?
(. )Ho: punemployed = punderemployed
Ha: punemployed ≠ punderemployed
(. )Ho: punemployed = punderemployed
Ha: punemployed > punderemployed
(. )Ho: punemployed = punderemployed
Ha: punemployed < punderemployed
(b) The p-value for this hypothesis test is approximately 0.35. Explain what this means in context of the hypothesis test and the data.
(. )Since p<α we fail to reject the null hypothesis
(. )Since p ≥ α we reject the null hypothesis and accept the alternative
(. )Since p ≥ α we do not have enough evidence to reject the null hypothesis
(. )Since p<α we reject the null hypothesis and accept the alternative
(. )Since p ≥ α we accept the null hypothesis
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