Question:

"Have you everrefuseda 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 children
• 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.

Question 8 Subquestions

8.a 0.5 point(s)

The researcher sets upthe null hypothesis asH₀:p₁=p₂. Select the appropriate alternative hypothesis.

• Ha: p1 not equal to p2
• Ha: p1 > p2
• Ha: p1 < p2

8.b 0.5 point(s)

It is important to understand what the various parameters in the hypotheses represent. Consider the followingincorrectdefinition for the parameterp₁. "p₁is the sample proportion ofworking adults from the East who have refused a job for this reason."Provide the two words to complete this statement: This definition would be correct if you replace the word _____________ with the word _______________.

No answer entered. Click above to enter an answer. 8.c 0.5 point(s)

The test statistic is computedassumingthe null hypothesis is true, that is,p₁=p₂=p. Which of the following is the best estimate of that common proportionp?

• 0.1085
• 0.23605
• 0.2376
• 0.4721

8.d 2 point(s)

It seems that the sample sizes of 93 and 88should be sufficiently large enough to use a normal approximation to compute thep-value. Provide verification that the sample sizes are large enough.

No answer entered. Click above to enter an answer. 8.e 3 point(s)

The z test statistic value is 1.71. Find the correspondingp-value. Include acomplete sketch to show thep-value. (You may make your own complete sketch by hand and upload image as a .jpg or use either the prob() script or even better pval() script in R to create the picture for you.)Then below the (inserted image)sketch provide the actual value bywriting"p-value = _________."

No answer entered. Click above to enter an answer. 8.f 0.5 point(s)

At a 5% significance level, the decision is to reject the null hypothesis. Which of the following word(s) should be used to complete theappropriateone sentence conclusion in the context of the problem?

For the populations represented by our samples, there ___________sufficient evidence to support that the population proportion of all working adults living in the East (with at least two children)who have refused a job for this reason exceeds thatfor all working adults living in the Midwest (with at least two children).

• IS
• IS NOT