Conduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the were obtained independently from a large population using simple random sampling. Test whether p, > p2. The sample data are x, = 126, n, = 248, x2 = 134, and n2 = 313. P2 TT O C. Họ: P1 = 0 versus H,: P, #0 O D. Ho: P1 = P2 versus H,: P1 #P2 (b) Determine the test statistic. z, = 1.89 (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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Conduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples
were obtained independently from a large population using simple random sampling.
Test whether p, >P2. The sample data are x, =126, n, = 248, x, = 134, and n, = 313.
"U' PT
O C. Ho: p, =0 versus H,: p, #0
O D. Ho: P1 = P2 versus H1: P1 #P2
(b) Determine the test statistic.
z, = 1.89 (Round to two decimal places as needed.)
(c) Determine the P-value.
The P-value is 0.029.
(Round to three decimal places as needed.)
What is the result of this hypothesis test?
O A. Reject the null hypothesis because there
sufficient evidence to conclude that p, <P2-
O B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, <p,.
Oc. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p, # p2.
O D. Reject the null hypothesis because there is sufficient evidence to conclude that p, > P2.
Transcribed Image Text:Conduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, >P2. The sample data are x, =126, n, = 248, x, = 134, and n, = 313. "U' PT O C. Ho: p, =0 versus H,: p, #0 O D. Ho: P1 = P2 versus H1: P1 #P2 (b) Determine the test statistic. z, = 1.89 (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is 0.029. (Round to three decimal places as needed.) What is the result of this hypothesis test? O A. Reject the null hypothesis because there sufficient evidence to conclude that p, <P2- O B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, <p,. Oc. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p, # p2. O D. Reject the null hypothesis because there is sufficient evidence to conclude that p, > P2.
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