The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through (d). X1 = 25, ng = 30, X2 = 17, n2 = 70, a = 0.05 Click here to view a table Click here to view a table areas under the standard normal curve for negative values of z. areas under the standard normal curve for positive values of z. a. Determine the sample proportions. Determine the sample proportion p1 (Round to three decimal places as needed.) Determine the sample proportion P2 P2 (Round to three decimal places as needed.) Determine the pooled sample proportion p.- Pp (Round to three decimal places as needed.) b. Decide whether using the two-proportions z-procedures is appropriate. Check that the assumptions are satisfied. Select all that apply. O A. The assumptions are satisfied, so using the procedures appropriate. O B. Since x, is less than 5, using the procedures is not appropriate. O c. Since n, -X1 less than 5, using the procedures is not appropriate. O D. Since n2 - X2 is less than 5, using the procedures is not appropriate. O E. Since x, is less than 5, using the procedures is not appropriate.

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The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through (d).
X1 = 25, n, = 30, x2 = 17, n, = 70, a = 0.05
Click here to view a table of areas under the standard normal curve for negative values of z.
Click here to view a table of areas under the standard normal curve for positive values of z.
a. Determine the sample proportions.
Determine the sample proportion p1.
p =
(Round to three decimal places as needed.)
Determine the sample proportion p2.
P2 =
(Round to three decimal places as needed.)
Determine the pooled sample proportion p,.
(Round to three decimal places as needed.)
b. Decide whether using the two-proportions z-procedures is appropriate.
Check that the assumptions are satisfied. Select all that apply.
A. The assumptions are satisfied, so using the procedures is appropriate.
B. Since x, is less than 5, using the procedures is not appropriate.
O c. Since n, -x, is less than 5, using the procedures is not appropriate.
D. Since n2-X2 is less than 5, using the procedures is not appropriate.
E. Since x, is less than 5, using the procedures is not appropriate.
O O
O O
Transcribed Image Text:The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through (d). X1 = 25, n, = 30, x2 = 17, n, = 70, a = 0.05 Click here to view a table of areas under the standard normal curve for negative values of z. Click here to view a table of areas under the standard normal curve for positive values of z. a. Determine the sample proportions. Determine the sample proportion p1. p = (Round to three decimal places as needed.) Determine the sample proportion p2. P2 = (Round to three decimal places as needed.) Determine the pooled sample proportion p,. (Round to three decimal places as needed.) b. Decide whether using the two-proportions z-procedures is appropriate. Check that the assumptions are satisfied. Select all that apply. A. The assumptions are satisfied, so using the procedures is appropriate. B. Since x, is less than 5, using the procedures is not appropriate. O c. Since n, -x, is less than 5, using the procedures is not appropriate. D. Since n2-X2 is less than 5, using the procedures is not appropriate. E. Since x, is less than 5, using the procedures is not appropriate. O O O O
c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test?
O A. Ho: P1 = P2, Ha: P1 > P2
B. Ho: P1 = P2, Hạ: P1 # P2
O C. Ho: P1 > P2, Hai P1 = P2
O D. Ho: P1 <P2 Hai P1 = P2
E. Ho: P1 # P2: Ha: P1 = P2
O F. Ho: P1 = P2, Ha: P1 <P2
G. Using the two-proportions z-procedures is not appropriate.
Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. z=
(Round to two decimal places as needed.)
O B. Using the two-proportions z-procedures is not appropriate.
Identify the P-value, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. The P-value is
(Round to three decimal places as needed.)
B. Using the two-proportions z-procedures is not appropriate.
Which of the following is the correct conclusion for the hypothesis test?
O A. At the 5% significance level, do not reject Ho; the data provide sufficient evidence to accept H,.
O B. At the 5% significance level, reject Ho; the data provide sufficient evidence to accept Ha.
O C. At the 5% significance level, do not reject Ho; the data do not provide sufficient evidence to accept Ha.
O D. At the 5% significance level, reject Ho: the data do not provide sufficient evidence to accept H..
Transcribed Image Text:c. If appropriate, use the two-proportions z-test to conduct the required hypothesis test. What are the hypotheses for this test? O A. Ho: P1 = P2, Ha: P1 > P2 B. Ho: P1 = P2, Hạ: P1 # P2 O C. Ho: P1 > P2, Hai P1 = P2 O D. Ho: P1 <P2 Hai P1 = P2 E. Ho: P1 # P2: Ha: P1 = P2 O F. Ho: P1 = P2, Ha: P1 <P2 G. Using the two-proportions z-procedures is not appropriate. Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. z= (Round to two decimal places as needed.) O B. Using the two-proportions z-procedures is not appropriate. Identify the P-value, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The P-value is (Round to three decimal places as needed.) B. Using the two-proportions z-procedures is not appropriate. Which of the following is the correct conclusion for the hypothesis test? O A. At the 5% significance level, do not reject Ho; the data provide sufficient evidence to accept H,. O B. At the 5% significance level, reject Ho; the data provide sufficient evidence to accept Ha. O C. At the 5% significance level, do not reject Ho; the data do not provide sufficient evidence to accept Ha. O D. At the 5% significance level, reject Ho: the data do not provide sufficient evidence to accept H..
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