Question

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? = 160 individuals results in x? = 60 successes. Does this represent sufficient evidence to conclude that p? < p? at the ? = 0.05 level of significance? (a) What type of test should be used? A. A hypothesis test regarding the difference between two population proportions from dependent samples. B. A hypothesis test regarding the difference between two population proportions from independent samples. C. A hypothesis test regarding two population standard deviations. D. A hypothesis test regarding the difference of two means using a matched-pairs design. (b) Determine the null and alternative hypotheses. Choose the correct answer below. A. H?: p? = p?; H?: p? > p? B. H?: p? = p?; H?: p? ? p? C. H?: p? > p?; H?: p? < p? D. H?: p? = p?; H?: p? < p? (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 < ?. B. There is sufficient evidence to reject the null hypothesis because the P-value > ?. C. There is not sufficient evidence to reject the null hypothesis because the P-value > ?. D. There is not sufficient evidence to reject the null hypothesis because the P-value < ?.

          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? = 160 individuals results in x? = 60 successes. Does this represent sufficient evidence to conclude that p? < p? at the ? = 0.05 level of significance?
(a) What type of test should be used?
A. A hypothesis test regarding the difference between two population proportions from dependent samples.
B. A hypothesis test regarding the difference between two population proportions from independent samples.
C. A hypothesis test regarding two population standard deviations.
D. A hypothesis test regarding the difference of two means using a matched-pairs design.
(b) Determine the null and alternative hypotheses. Choose the correct answer below.
A. H?: p? = p?; H?: p? > p?
B. H?: p? = p?; H?: p? ? p?
C. H?: p? > p?; H?: p? < p?
D. H?: p? = p?; H?: p? < p?
(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 < ?.
B. There is sufficient evidence to reject the null hypothesis because the P-value > ?.
C. There is not sufficient evidence to reject the null hypothesis because the P-value > ?.
D. There is not sufficient evidence to reject the null hypothesis because the P-value < ?.

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? = 160 individuals results in x? = 60 successes. Does this represent sufficient evidence to conclude that p? < p? at the ? = 0.05 level of significance?
(a) What type of test should be used?
A. A hypothesis test regarding the difference between two population proportions from dependent samples.
B. A hypothesis test regarding the difference between two population proportions from independent samples.
C. A hypothesis test regarding two population standard deviations.
D. A hypothesis test regarding the difference of two means using a matched-pairs design.
(b) Determine the null and alternative hypotheses. Choose the correct answer below.
A. H?: p? = p?; H?: p? > p?
B. H?: p? = p?; H?: p? ? p?
C. H?: p? > p?; H?: p? < p?
D. H?: p? = p?; H?: p? < p?
(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 < ?.
B. There is sufficient evidence to reject the null hypothesis because the P-value > ?.
C. There is not sufficient evidence to reject the null hypothesis because the P-value > ?.
D. There is not sufficient evidence to reject the null hypothesis because the P-value < ?.

Added by Sandra M.

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