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 = 33, n₁ =67, x2 =31, n₂ = 62 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 Ha: P1 P2 OC. Ho: P1 P2 Ha P1 P2 OD. The conditions to use a normal sampling distribution are not met. be used because n₁p=.n₁q=n2p=, and n2q= 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. 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<α, 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.. Ne
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 = 33, n₁ =67, x2 =31, n₂ = 62 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 Ha: P1 P2 OC. Ho: P1 P2 Ha P1 P2 OD. The conditions to use a normal sampling distribution are not met. be used because n₁p=.n₁q=n2p=, and n2q= 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. 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<α, 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.. Ne
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
Related questions
Question
![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 = 33, n₁ =67, x2 =31, n₂ = 62
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
Ha: P1 P2
OC. Ho: P1 P2
Ha P1 P2
OD. The conditions to use a normal sampling distribution are not met.
be used because n₁p=.n₁q=n2p=, and n2q=
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.
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<α, 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..
Ne](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F510de40a-964d-4311-874b-71b427e5c2f3%2F70685aac-8052-4201-b0db-1b1857894d32%2Ffau0zzm_processed.jpeg&w=3840&q=75)
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 = 33, n₁ =67, x2 =31, n₂ = 62
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
Ha: P1 P2
OC. Ho: P1 P2
Ha P1 P2
OD. The conditions to use a normal sampling distribution are not met.
be used because n₁p=.n₁q=n2p=, and n2q=
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.
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<α, 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..
Ne
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