Question

A certain consumer research firm analyzed the 8​% of adults from a particular region that are either​ "Superbanked" or​ "Unbanked." Superbanked consumers are defined as adults who live in a household that has multiple asset accounts at financial​ institutions, as well as some additional​ investments; Unbanked consumers are adults who live in a household that does not use a bank or credit union. By finding the 4​% of adults that are​ Superbanked, the firm identifies financially savvy consumers who might be open to diversifying their financial​ portfolios; by identifying the​ Unbanked, the firm provides insight into the ultimate prospective client for banks and financial institutions. As part of its​ analysis, the firm reported that 93​% of Superbanked consumers from the region use credit cards in the past three months as compared to 34​% of Unbanked consumers. Suppose that these results were based on 1,000 Superbanked consumers and 900 Unbanked consumers. Complete parts​ (a) through​ (c) below.

Determine the value of the test statistic.

Z STAT=___________

​(Round to four decimal places as​ needed.)

Determine the critical​ value(s) for this test of hypothesis.

The critical​ value(s) is​ (are) ___________

The​ p-value in​ (a) is__________

c. Construct and interpret a 95​% confidence interval estimate for the difference between the Superbanked and the Unbanked with respect to the proportion that use credit cards.

The confidence interval is ________

​(Round to four decimal places as​ needed.)

Answer 1