Chapter 8, Problem 46PS

A Federal Reserve Bank of Atlanta report looks at what strategies and measures financial institutions are pursing mobile financial service to their customer. In response to survey question about barriers hindering greater consumers adoption of mobile banking, in a survey of 115 financial institute, 81 said security concerns is a barrier, 68 said lack of trust in the technology is a barrier, and 16 said difficulty of use was a barrier.

Construct a $95\%$ confidence interval estimate of the population proportion of financial institute who said:

a. Security concerns are a barrier hindering greater consumer adoption of mobile banking.

b. lack of trust is a barrier hindering greater consumer adoption of mobile banking.

c. difficulty of use is a barrier hindering greater consumer adoption of mobile banking.

d. you have been asked to update the results of this study. Determine the sample size necessary to estimate, with $95\%$ confidence, the population properties in (a) through (c) to within $\pm \mathrm{0.02.}$