10.4.51 In each of the following cases, determine if the sample sizes are large enough so that the sampling distribution of the differences in the sample proportions can be approximated with a normal distribution. Complete parts a through d below. a. Suppose r = 71, n₂ = 62, x₁ = 56, and x₂ = 29. Choose the correct answer below. Question Help OA. The sampling distribution of the differences in the sample proportions cannot be approximated with a normal distribution because n₁p₁. n₁ (1-₁), n₂P2, and n₂ (1-P₂) are all less than 5. OB. The sampling distribution of the differences in the sample proportions cannot be approximated with a normal distribution because n₁p, and n₂ (1-P₂) are greater than or equal to 5. OC. The sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n₁P₁. n₁ (1-P₁), n₂P₂, and n₂ (1-P₂) OD. The sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n₁p₁ and n₂ (1-P2) are less than 5. are all greater than or equal to 5.

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
icon
Related questions
Question
10.4.51
In each of the following cases, determine if the sample sizes are large enough so that the sampling distribution of the differences in the sample proportions can be approximated with a normal distribution. Complete parts a through d below.
a. Suppose n₁ = 71, n₂ = 62, x₁ = 56, and x₂ = 29. Choose the correct answer below.
O A. The sampling distribution of the differences in the sample proportions cannot be approximated with a normal distribution because n₁₁, n₁ (1-₁), n₂P2, and n₂ (1-P2) are all less than 5.
B. The sampling distribution of the differences in the sample proportions cannot be approximated with a normal distribution because n₁₁ and n₂ (1-P₂) are greater than or equal to 5.
C. The sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n₁₁, №₁ (1-₁), n₂₂, and n₂ (1-P₂)
1,
D. The sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n₁₁ and n₂ (1-₂) are less than 5.
are all greater than or equal to 5.
Question Help
¤
Transcribed Image Text:10.4.51 In each of the following cases, determine if the sample sizes are large enough so that the sampling distribution of the differences in the sample proportions can be approximated with a normal distribution. Complete parts a through d below. a. Suppose n₁ = 71, n₂ = 62, x₁ = 56, and x₂ = 29. Choose the correct answer below. O A. The sampling distribution of the differences in the sample proportions cannot be approximated with a normal distribution because n₁₁, n₁ (1-₁), n₂P2, and n₂ (1-P2) are all less than 5. B. The sampling distribution of the differences in the sample proportions cannot be approximated with a normal distribution because n₁₁ and n₂ (1-P₂) are greater than or equal to 5. C. The sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n₁₁, №₁ (1-₁), n₂₂, and n₂ (1-P₂) 1, D. The sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n₁₁ and n₂ (1-₂) are less than 5. are all greater than or equal to 5. Question Help ¤
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill