Intro to stats, practice question #6 \"Have you ever refused a job, promotion, o

Question

Intro to stats, practice question #6

"Have you ever refused a job, promotion, or transfer because it would lead to spending less time with your family?" This question was asked in a survey of two independent random samples representing two populations Population 1: all working adults living in the East with a family of at least two childrer Population 2: all working adults living in the Midwest with a family of at least two children The researcher would like to assess if the proportion of all such working adults living in the East who have refused a job for this reason would exceed the same proportion for all such working adults living in the Midwest. The significance level is set to 5%. The results of the study are summarized below Sample Size Number who have refused a jolb because less time with family 27 16 Sample Proportion 0.2903 0.1818 1 = East 93 2-Midwest88

Explanation / Answer

Ha: p1>p2

p1 is the sample proportion of working adults in the east with atleast two children who have refused a job for this reason

0.1085 is right

Sample sizes are greater than 30, also proportions are such that np and n(1-p) >5

Hence samples are large enough

0.043633. is the p value

As p<0.05, reject null hypothesis.

Is sufficient evidence.

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