A, B, and C please A survey of 100 CEOs finds that 56 of them think that the eco

Question

A, B, and C please

A survey of 100 CEOs finds that 56 of them think that the economy will improve next year. Is there evidence that the rate is higher among all CEOs than the 51% reported by the public at large? a) Find the standard deviation of the sample proportion based on the null hypothesis. b) Find the z-statistic. c) Does the z-statistic seem like a particularly large or small value? a) The standard deviation of the sample proportion based on the null hypothesis is (Round to three decimal places as needed.)

Explanation / Answer

pcap = x/n = 56/100= .56

p = .51

n = 100

a.)

Find stdev of the sample dev of the sample proportions based on the null hypothesis :
Stdev = sqrt(p*p'/n) = sqrt(.51*.49/100) = .0499

b)

Z statisic = (.56-.51)/.0499 = 1

c)

This Z-statistic is not so big, will not reach to a rejection of null hypothesis

SO, we won't reject null hypothesis .H0: Mu = .51

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