Answer to Question #251864 in Economics for Nae

Question

The manager of a well-known bank is interested to know whether online banking is more popular amongst younger
(under 40 years old) banking clients than amongst older (40 years and older) banking clients. In a random sample of
250 younger bank clients, 120 used online banking, and in a random sample of 300 older bank clients, 126 used
online banking.
a) Find and interpret a 99% confidence interval for the difference in the true proportion of younger and older bank
clients that use online banking. (3)
b) Is there a significant difference in the two population means, considering the confidence interval found in a)? (1)

Answer 1

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