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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, α = 0.01 Sample Statistics: x₁ = 32, n₁ = 71, x₂ = 34, n₂ = 76 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, fail to reject Ho. There is not enough evidence at the x = 0.01 level of significance to support the claim. OB. Since P> x, reject Ho. There is enough evidence at theta = 0.01 level of significance to support the claim. OC. Since P

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, α = 0.01 Sample Statistics: x₁ = 32, n₁ = 71, x₂ = 34, n₂ = 76 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, fail to reject Ho. There is not enough evidence at the x = 0.01 level of significance to support the claim. OB. Since P> x, reject Ho. There is enough evidence at theta = 0.01 level of significance to support the claim. OC. Since P

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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, α = 0.01 Sample Statistics: x₁ = 32, n₁ = 71, x₂ = 34, n₂ = 76 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 SP₂ Ha: P₁ P2 OB. Ho: P₁ P2 H₂: P₁ P2 OC. Ho: P₁ = P2 H₂: P₁ P₂ OD. The conditions to use a normal sampling distribution are not met. 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= be used because n₁ p = n₁a = n₂p=, and n₂9= (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 p₁ and p2 at the level of significance a. Assume that the samples are random and independent. Claim: P₁ P₂, α = 0.01 Sample Statistics: x₁ = 32, n₁ = 71, x₂ = 34, n₂ = 76 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 SP₂ Ha: P₁ P2 OB. Ho: P₁ P2 H₂: P₁ P2 OC. Ho: P₁ = P2 H₂: P₁ P₂ OD. The conditions to use a normal sampling distribution are not met. 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= be used because n₁ p = n₁a = n₂p=, and n₂9= (Round to two decimal places as needed.)
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, α=0.01 Sample Statistics: x₁ = 32, n₁ = 71, x₂ = 34, n₂ = 76 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. O A. Since P> x, fail to reject Ho. There is not enough evidence at the x = 0.01 level of significance to support the claim. OB. Since P> x, reject Ho. There is enough evidence at the x = 0.01 level of significance to support the claim. OC. Since P<x, fail to reject Ho. There is not enough evidence at the x = 0.01 level of significance to support the claim. O D. Since P<a, reject Ho. There is enough evidence at the x = 0.01 level of significance to support the claim. O E. 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, α=0.01 Sample Statistics: x₁ = 32, n₁ = 71, x₂ = 34, n₂ = 76 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. O A. Since P> x, fail to reject Ho. There is not enough evidence at the x = 0.01 level of significance to support the claim. OB. Since P> x, reject Ho. There is enough evidence at the x = 0.01 level of significance to support the claim. OC. Since P<x, fail to reject Ho. There is not enough evidence at the x = 0.01 level of significance to support the claim. O D. Since P<a, reject Ho. There is enough evidence at the x = 0.01 level of significance to support the claim. O E. The conditions to use a normal sampling distribution are not met.
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