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 p₁ and p2 at the level of significance a. Assume that the samples are random and independent Claim: P1 P2, a 0.01 Sample Statistics: x₁ = 34, n₁ =71, x2 =33, n₂ =61 Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. ○ A. Ho: P₁ 2P2 H₂: P1 P2 OB. Ho: P₁ SP2 Ha P1 P2 ○ C. Ho: P₁ =P2 H₂: P1 P2 OD. The conditions to use a normal sampling distribution are not met. ng be used because n₁p=n₁q=2p=, and n₂- Calculate the standardized test statistic for the difference P₁ -P2. If applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA z= (Round to two decimal places as needed.) OB. 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. OA. P= (Round to three decimal places as needed.) OB. 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. OA. Since P > a, reject Ho. There is enough evidence at the a=0.01 level of significance to support the claim. OB. Since Pa, fail to reject Ho. There is not enough evidence at the a=0.01 level of significance to support the claim. OD. Since P

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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 p₁ and p2 at the level of significance a. Assume that the samples are random and independent
Claim: P1 P2, a 0.01
Sample Statistics: x₁ = 34, n₁ =71, x2 =33, n₂ =61
Determine whether a normal sampling distribution can be used.
The samples are random and independent. A normal sampling distribution
(Round to two decimal places as needed.)
State the null and alternative hypotheses, if applicable.
○ A. Ho: P₁ 2P2
H₂: P1 P2
OB. Ho: P₁ SP2
Ha P1 P2
○ C. Ho: P₁ =P2
H₂: P1 P2
OD. The conditions to use a normal sampling distribution are not met.
ng
be used because n₁p=n₁q=2p=, and n₂-
Calculate the standardized test statistic for the difference P₁ -P2. If applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA z=
(Round to two decimal places as needed.)
OB. 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.
OA. P=
(Round to three decimal places as needed.)
OB. 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.
OA. Since P > a, reject Ho. There is enough evidence at the a=0.01 level of significance to support the claim.
OB. Since P<a, reject Ho. 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, fail to reject Ho. There is not 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 for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p₁ and p2 at the level of significance a. Assume that the samples are random and independent Claim: P1 P2, a 0.01 Sample Statistics: x₁ = 34, n₁ =71, x2 =33, n₂ =61 Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. ○ A. Ho: P₁ 2P2 H₂: P1 P2 OB. Ho: P₁ SP2 Ha P1 P2 ○ C. Ho: P₁ =P2 H₂: P1 P2 OD. The conditions to use a normal sampling distribution are not met. ng be used because n₁p=n₁q=2p=, and n₂- Calculate the standardized test statistic for the difference P₁ -P2. If applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA z= (Round to two decimal places as needed.) OB. 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. OA. P= (Round to three decimal places as needed.) OB. 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. OA. Since P > a, reject Ho. There is enough evidence at the a=0.01 level of significance to support the claim. OB. Since P<a, reject Ho. 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, fail to reject Ho. There is not 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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