Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions are random and independent. Claim: p; # P2, a= 0.01 Sample Statistics: X; = 31, n; = 74, x2 = 29, ng = 69 Determine whether a normal sampling distribution can be used. The samples are random and independent. Anormal sampling distribution be used because n,p=na=0. n2p=, and ngg =D:

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Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p, and P2 at the level of significance a. Assume that the samples
are random and independent.
Claim: p, + P2, a = 0.01
Sample Statistics: X "31, n = 74, x2 = 29, ng = 69
Determine whether a normal sampling distribution can be used.
7 be used because n,p=0 n;a=0. nap=D. and ngā=D
The samples are random and independent. A normal sampling distribution
(Round to two decimal places as needed.)
Transcribed Image Text:Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p, and P2 at the level of significance a. Assume that the samples are random and independent. Claim: p, + P2, a = 0.01 Sample Statistics: X "31, n = 74, x2 = 29, ng = 69 Determine whether a normal sampling distribution can be used. 7 be used because n,p=0 n;a=0. nap=D. and ngā=D The samples are random and independent. A normal sampling distribution (Round to two decimal places as needed.)
Determine whether a normal sampling distribution can be used.
The samples are random and independent. A normal sampling distribution
be used because np- 34.26, na= 33.74, nap= 31.74. and ngg= 31.26".
can
(Round to two decimal places as needed.)
State the null and alternative hypotheses, if applicable.
OA. Hg: P1 2P2
Ha: P1 <P2
XB. Họ: P1 SP2
Ha: P1> P2
c. Hạ: P1 = P2
Hg: P1 P2
OD. The conditions to use a normal sampling distribution are not met.
Calculate the standardized test statistic for the difference p, - P2. if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. 2= -0.09
(Round to two decimal places as needed.)
O B. The conditions to use a normal sampling distribution are not met.
Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. P. 0.928
(Round to three decimal places as needed.)
O B. The conditions to use a normal sampling distribution are not met.
State the conclusion of the hypothesis test, if applicable. Choose the correct answer below.
O A. Since P<a, fail to reject Hg. There is not enough evidence at the a = 0.01 level of significance to support the claim.
O B. Since P> a, reject Hg. There is enough evidence at the a = 0.01 level of significance to support the claim.
OC. Since P>a, fail to reject Ho. There is not enough evidence at the a = 0.01 level of significance to support the claim.
OD. Since P<a, reject Hg. There is enough evidence at the a = 0.01 level of significance to support the claim.
OE. The conditions to use a normal sampling distribution are not met.
Transcribed Image Text:Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution be used because np- 34.26, na= 33.74, nap= 31.74. and ngg= 31.26". can (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. OA. Hg: P1 2P2 Ha: P1 <P2 XB. Họ: P1 SP2 Ha: P1> P2 c. Hạ: P1 = P2 Hg: P1 P2 OD. The conditions to use a normal sampling distribution are not met. Calculate the standardized test statistic for the difference p, - P2. if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 2= -0.09 (Round to two decimal places as needed.) O B. The conditions to use a normal sampling distribution are not met. Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. P. 0.928 (Round to three decimal places as needed.) O B. The conditions to use a normal sampling distribution are not met. State the conclusion of the hypothesis test, if applicable. Choose the correct answer below. O A. Since P<a, fail to reject Hg. There is not enough evidence at the a = 0.01 level of significance to support the claim. O B. Since P> a, reject Hg. There is enough evidence at the a = 0.01 level of significance to support the claim. OC. Since P>a, fail to reject Ho. There is not enough evidence at the a = 0.01 level of significance to support the claim. OD. Since P<a, reject Hg. There is enough evidence at the a = 0.01 level of significance to support the claim. OE. The conditions to use a normal sampling distribution are not met.
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