Question 9.27

9.27 Remote deposit capture.

The Federal Reserve has called remote deposit capture (RDC) “the most important development the [U.S.] banking industry has seen in years.” This service allows users to scan checks and to transmit the scanned images to a bank for posting.12 In its annual survey of community banks, the American Bankers Association asked banks whether or not they offered this service.13 Here are the results classified by the asset size (in millions of dollars) of the bank.

rdc

Offer RDC
Asset size Yes No
Under $100 63 309
$101 to $200 59 132
$201 or more 112 85
  1. Summarize the results of this survey question numerically and graphically. [In Exercise 2.102 (page 113), you were asked to do this.]
  2. Test the null hypothesis that there is no association between the size of a bank, measured by assets, and whether or not it offers RDC. Report the test statistic, the P-value, and your conclusion.

9.27

(a) The percent of banks for each asset size that offer RDC are Under $100: 16.94%, $101 to $200: 30.89%, $201 or more: 56.85%.
(b) . The data provide evidence of an association between the size of the bank and whether or not it offers RDC. Generally speaking, the small-size banks, as measured by assets, are less likely to offer RDC.