Question 13 pts The American Bankers Association Community Bank Insurance Survey for 20xx had responses from 151 banks. A Community Bank is defined...

   Question 12                                                                                                                                                                                  6 pts

Consider a survey of customers who bought a Christmas tree during the holiday season. Respondents were classified as either living in a rural area (population #1) or living in an urban area (population #2). Each respondent was asked whether they purchased a natural tree or an artificial tree. The population proportions in this study are the proportion of persons who bought a natural tree ("success"). (Assume, for this analysis, that the survey was conducted by drawing an SRS from rural dwellers who bought a Christmas tree and an independent SRS from urban dwellers who bought a tree.)

The sample from rural dwellers who bought a tree had a sample size ni 159 and count of "successes" (i.e., number who bought a natural tree) of Xl 70.

The sample from urban dwellers who bought a tree had a sample size n2 — 214 and count of "successes" (i.e., number who bought a natural tree) of    108.

What is the standard error of the difference D — — p2?

Round your answer to 3 decimal places of accuracy.

  Question 13                                                                                                                                                                                  7 pts

Consider a survey of customers who bought a Christmas tree during the holiday season. Respondents were classified as either living in a rural area (population #1) or living in an urban area (population #2). Each respondent was asked whether they purchased a natural tree or an artificial tree. The population proportions in this study are the proportion of persons who bought a natural tree ("success"). (Assume, for this analysis, that the survey was conducted by drawing an SRS from rural dwellers who bought a Christmas tree and an independent SRS from urban dwellers who bought a tree.)

The sample from rural dwellers who bought a tree had a sample size ni 175 and count of "successes" (i.e., number who bought a natural tree) of Xl 90.

The sample from urban dwellers who bought a tree had a sample size n2 — 250 and count of "successes" (i.e., number who bought a natural tree) of    80.

Construct the level C 99% confidence interval for the difference in population means, pi - p2. Also, state the inference about the difference.

0 (0.07, 0.32) With 99% confidence, the difference in population proportions is greater than zero.

O (0.00, 0.19) With 99% confidence, the difference in population proportions is not greater than zero.

O (0.12, 0.27) With 99% confidence, the difference in population proportions is greater than zero.

0 (0.10, 0.29) With 99% confidence, the difference in population proportions is greater than zero.