A bank randomly selected 248 checking account customers and found that 113 of th

Question

A bank randomly selected 248 checking account customers and found that 113 of them also had savings accounts at this same bank. Construct a 99% confidence interval for the true proportion of checking account customers who also have savings accounts. (Give your answers correct to three decimal places.)

Consider the following. (Give your answers correct to two decimal places.) (a) Calculate the test statistic z used in testing Ho: p = 0.70, Ha: p > 0.70; with the sample n = 295 and x = 254.


(b) Calculate the test statistic z used in testing Ho: p = 0.50, Ha: p < 0.50; with the sample n = 457 and x = 208.


(c) Calculate the test statistic z used in testing Ho: p = 0.35, Ha: p 0.35; with the sample n = 274 and x = 85.


(d) Calculate the test statistic z used in testing Ho: p = 0.90, Ha: p > 0.90; with the sample n = 539 and x = 505.

Consider the following hypothesis-testing situations. (Give your answers correct to four decimal places.) (a) Determine the p-value for Ho: p = 0.5, Ha: p 0.5, z = 1.46.


(b) Determine the p-value for Ho: p = 0.7, Ha: p 0.7, z = -2.31.


(c) Determine the p-value for Ho: p = 0.4, Ha: p > 0.4, z = 0.97.


(d) Determine the p-value for Ho: p = 0.2, Ha: p < 0.2, z = -1.62.

Explanation / Answer

a) p - value = 2*P(z > 1.46) = 2*0.0721 = 0.1442

b) p - value = 2*P(z < -2.31) = 2*0.0104 = 0.0209

c) p - value = P(z > 0.97) = 0.1660

d) p - value = P(z < -1.62) = 0.0526

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