Independent random samples were selected from two binomial populations, with sample sizes and the number of successes given below. Population Sample Size Number of Successes USE SALT 1 500 500 124 145 Construct a 95% confidence interval for the difference in the population proportions. (Use p₁ - P₂. Round your answers to four decimal places.) to Construct a 99% confidence interval for the difference in the population proportions. (Use p₁-P₂. Round your answers to four decimal places.) to What does the phrase "95% confident" or "99% confident" mean? P₂₁ O In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this manner that will enclose the difference in the population proportions P₁ and 95% or 99% confident refers to the probability that the difference in the population proportions p, and p₂ will fall within the intervals found above. O In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this manner that will enclose the difference in the sample proportions p, and P₂. ○ 95% or 99% confident refers to the probability that the difference in the sample proportions, and ₂ will fall within the intervals found above.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Independent random samples were selected from two binomial populations, with sample sizes and the number of successes given below.
Population
1
2
500 500
124 145
Sample Size
Number of Successes
USE SALT
Construct a 95% confidence interval for the difference in the population proportions. (Use p₁ - P₂. Round your answers to four decimal places.)
to
Construct a 99% confidence interval for the difference in the population proportions. (Use p₁ - P₂. Round your answers to four decimal places.)
to
What does the phrase "95% confident" or "99% confident" mean?
O In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this manner that will enclose the difference in the population proportions and
P₁ P₂²
95% or 99% confident refers to the probability that the difference in the population proportions p₁ and p₂ will fall within the intervals found above.
In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this manner that will enclose the difference in the sample proportions p₁ and P₂.
95% or 99% confident refers to the probability that the difference in the sample proportions p, and p₂ will fall within the intervals found above.
Transcribed Image Text:Independent random samples were selected from two binomial populations, with sample sizes and the number of successes given below. Population 1 2 500 500 124 145 Sample Size Number of Successes USE SALT Construct a 95% confidence interval for the difference in the population proportions. (Use p₁ - P₂. Round your answers to four decimal places.) to Construct a 99% confidence interval for the difference in the population proportions. (Use p₁ - P₂. Round your answers to four decimal places.) to What does the phrase "95% confident" or "99% confident" mean? O In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this manner that will enclose the difference in the population proportions and P₁ P₂² 95% or 99% confident refers to the probability that the difference in the population proportions p₁ and p₂ will fall within the intervals found above. In repeated sampling, 95% or 99% confident refers to the proportion of intervals constructed in this manner that will enclose the difference in the sample proportions p₁ and P₂. 95% or 99% confident refers to the probability that the difference in the sample proportions p, and p₂ will fall within the intervals found above.
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