Submit Quiz Quiz: Chapter 11 Review Quiz This Quiz: 16 pts possible 15 of 16 (4

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Submit Quiz Quiz: Chapter 11 Review Quiz This Quiz: 16 pts possible 15 of 16 (4 complete) This Question: 1 pt Question Help * Use the tollowing intormation to complete steps (a) through (d) below random sample of n, - individuals successes Does this represent suficient evidence to conclude that pi D2 at the a0.10 evel of 10 individuals resuits in xy 40 successes. An independent sample of n2 - 150 individuals results in x2 -60 signifcance? (a) What type of test should be used? O A. A hypothesis test regarding the difference between two population proportions from independent samples O B. A hypothesis test regarding the aifference between two population proportions from dependent samples. O C. A hypothesis test regarding the difference of two means using a matched-pairs design O D. A hypothesis test reoarding two population standard deviations (b) Determine the nul and alternative hypotheses. Choose the correct answer below (c) Use technology to calculate the P-value (Round to three decimal places as needed) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below O A. There is not sufficient evidence to reject the nul hypothesis because the P-value>a. 0 B. There is not sumcent evidence to reject the null hypothesis because the P-value a Click to select your answer(s)

Explanation / Answer

(a) Here the test is used " A hypothesis test regarding the difference between two population proportions from independent samples."

(b)

H0 : p1 = p2

Ha : p1 < p2

(c) Here p^1 = 40/110 = 0.3636

p^2 = 60/150 = 0.4

Here pooled estimate p = (40 + 60)/(110 + 150) = 0.3846

standard error of pooled estimate = sqrt [p* (1 -p) * (1/n1 + 1/n2)] = sqrt[0.3846 * (1 - 0.3846) * (1/110 + 1/150)] = 0.061

Here test statistic

Z = (0.4 - 0.3636)/0.061 = 0.5967

p- value = Pr(Z > 0.5967) = 0.2754

(c) As p - value is greater than 0.10 so we fail to reject the null hypothesis and there is not sufficient evidence.

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