b. Calculate the P-Value c. State the conclusion for the test d. State the concl

Question

b. Calculate the P-Value c. State the conclusion for the test d. State the conclusion in context of the problem

A simple random sample of size n 200 drivers were asked if they drive a car manufactured in a certain country Of the 200 drivers surveyed, 110 responded that they did Determine if more than half of all drivers drive a car made in this country at the (a) Determine the null and alternative hypotheses Ho p 05 H P 05 (b) Calculate the P-value P-value- (Round to three decimal places as needed) 0 05 level of significance Complete parts (a) through (d)

Explanation / Answer

p = 0.5

p0 = 110/200 = 0.55

n = 200

b) SE = sqrt(p * (1 - p) / n) = sqrt(0.5 * 0.5 / 200) = 0.0354

Z = (p0 - p) / SE = (0.55 - 0.5) / (0.0354) = 1.412

p-value = P(Z > 1.41) = 1 - P(Z < 1.41) = 1 - 0.9207 = 0.0793

c) Since p-value is not less than 0.05, we should not reject the null hypothesis

d) There is not enough evidence to prove that the more than half of all drivers drive a car made in this country .

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