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 =31, n₁ = 72, x2 = 29, n2 = 67 + 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. OA. Ho: P1 P2 Ha P1 P2 OB. Ho: P₁ SP2 Ha P1 P2 OC. Ho: P₁ =P2 Ha P1 P2 ● D. The conditions to use a normal sampling distribution are not met. be used because n☐☐☐ 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. • A. 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. A. 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

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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 =31, n₁ = 72, x2 = 29, n2 = 67
+
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.
OA. Ho: P1 P2
Ha P1 P2
OB. Ho: P₁ SP2
Ha P1 P2
OC. Ho: P₁ =P2
Ha P1 P2
● D. The conditions to use a normal sampling distribution are not met.
be used because n☐☐☐
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.
• A. 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.
A. 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, fail to reject Ho. There is not 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.
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 =31, n₁ = 72, x2 = 29, n2 = 67 + 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. OA. Ho: P1 P2 Ha P1 P2 OB. Ho: P₁ SP2 Ha P1 P2 OC. Ho: P₁ =P2 Ha P1 P2 ● D. The conditions to use a normal sampling distribution are not met. be used because n☐☐☐ 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. • A. 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. A. 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, fail to reject Ho. There is not 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.
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