Use the following information to complete steps (a) through (d) below. A random sample of n, = 135 individuals results in x, = 40 successes. An independent sample of n, = 140 individuals results in x, = 60 successes. Does this represent sufficient evidence to conclude that p, P2i H: P, P2 (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 sufficient evidence to reject the null hypothesis because the P-value a. OC. There is not sufficient evidence to reject the null hypothesis because the P-value a.

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Use the following information to complete steps (a) through (d) below.
A random sample of n, = 135 individuals results in x,
= 40 successes. An independent sample of n, = 140 individuals results in x, = 60 successes. Does this represent sufficient evidence to conclude that p, < p, at the a = 0.10
level of significance?
.....
(a) What type of test should be used?
O A. A hypothesis test regarding the difference of two means using a matched-pairs design.
B. A hypothesis test regarding the difference between two population proportions from dependent samples.
C. A hypothesis test regarding two population standard deviations.
D. A hypothesis test regarding the difference between two population proportions from independent samples.
(b) Determine the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: P1 = p2; H1: P1 # P2
B. Ho: P1 > P2; H: P1 <P2
O C. Ho: P1 = p2; H1: P1 <P2
D. Ho: P1 = P2; H: P1 > P2
(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.
A. There is sufficient evidence to reject the null hypothesis because the P-value < a.
B. There is not sufficient evidence to reject the null hypothesis because the P-value > a.
C. There is not sufficient evidence to reject the null hypothesis because the P-value < a.
D. There is sufficient evidence to reject the null hypothesis because the P-value > a.
Transcribed Image Text:Use the following information to complete steps (a) through (d) below. A random sample of n, = 135 individuals results in x, = 40 successes. An independent sample of n, = 140 individuals results in x, = 60 successes. Does this represent sufficient evidence to conclude that p, < p, at the a = 0.10 level of significance? ..... (a) What type of test should be used? O A. A hypothesis test regarding the difference of two means using a matched-pairs design. B. A hypothesis test regarding the difference between two population proportions from dependent samples. C. A hypothesis test regarding two population standard deviations. D. A hypothesis test regarding the difference between two population proportions from independent samples. (b) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = p2; H1: P1 # P2 B. Ho: P1 > P2; H: P1 <P2 O C. Ho: P1 = p2; H1: P1 <P2 D. Ho: P1 = P2; H: P1 > P2 (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. A. There is sufficient evidence to reject the null hypothesis because the P-value < a. B. There is not sufficient evidence to reject the null hypothesis because the P-value > a. C. There is not sufficient evidence to reject the null hypothesis because the P-value < a. D. There is sufficient evidence to reject the null hypothesis because the P-value > a.
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