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A financial company gives its banking customers a commission if they refer new people to open...

A financial company gives its banking customers a commission if they refer new people to open bank accounts. As a​ result, 55% of new customers at the bank came from referrals in 2014. Another bank had 23% referrals last year​ (out of a total of 55,000 new​ customers) and has increased the commission this year. It expects to achieve 30% referrals this year and picks a random selection of 300 new customers and finds that 26% of them came from referrals.

1) Can we claim that the proportion of referrals has increased from last year at the​ 1% significance​ level?

a) Let p be the proportion of customers that came from referrals. Determine the null and alternative hypotheses.

Ho: p __ 0.23

Ha: p __ 0.23

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1. = 2. > 3.eq4. <

b) The test statistic is z equals =

(Round to two decimal places as​ needed.)

c) The​ P-value is =

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

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