There is a popular lottery in which a ticket is called a scratcher. An ad for this lottery claims that the42%of the population all scratching posts are winners. You want to investigate this claim by selecting a random sample of48scratching posts Follow these steps to construct a confidence interval for the95%for the population proportion of all winning tickets. Then indicate whether the confidence interval you constructed contradicts the ad claim. (If necessary, you can refer to a list of formulas.) (to) Click on "Take sample" to see the results of the random sample. Take a sample winning scratching post loser scratcher Number 12 36 Proportion 0.25 0.75 Enter the values for the sample size, the point estimate of the population proportion, and the critical value you need to construct the confidence interval of the 95%. (Choose the correct critical value from the critical value table provided.) When finished, click on "Calculate".

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
(b)
Point estimate:
0.25
critical value:
1.96
Calculate
0.000
0.127
0.250
Error range:
0.123
Confidence interval of95%:
0.25 +0.123
0.373
Based on the sample, plot the confidence interval of the95%for the population proportion of all winning scratching posts.
• Enter the upper bound and lower bound values on the graph to display your confidence interval.
• Under the point ( ◆), indicate the statement of the ad,0.42.
95% Confidence Interval:
Critical values
70.005=2,576
0.010=2,326
20.025 1960
0.050 1,645
0.100=1,282
1.000
Transcribed Image Text:(b) Point estimate: 0.25 critical value: 1.96 Calculate 0.000 0.127 0.250 Error range: 0.123 Confidence interval of95%: 0.25 +0.123 0.373 Based on the sample, plot the confidence interval of the95%for the population proportion of all winning scratching posts. • Enter the upper bound and lower bound values on the graph to display your confidence interval. • Under the point ( ◆), indicate the statement of the ad,0.42. 95% Confidence Interval: Critical values 70.005=2,576 0.010=2,326 20.025 1960 0.050 1,645 0.100=1,282 1.000
(b): Your answer is wrong.
There is a popular lottery in which a ticket is called a scratcher. An ad for this lottery claims that the42%of the population all scratching posts are winners. You
want to investigate this claim by selecting a random sample of48scratching posts
Follow these steps to construct a confidence interval for the95%for the population proportion of all winning tickets. Then indicate whether the confidence
interval you constructed contradicts the ad claim. (If necessary, you can refer to a list of formulas.)
(to) Click on "Take sample" to see the results of the random sample.
Take a sample
winning scratching
Sample size:
48
post
loser scratcher
Number
12
36
Proportion
0.25
0.75
Enter the values for the sample size, the point estimate of the population proportion, and the critical value you need to construct the confidence
interval of the95%. (Choose the correct critical value from the critical value table provided.) When finished, click on "Calculate".
Standard error:
0.063
X
Ś
Transcribed Image Text:(b): Your answer is wrong. There is a popular lottery in which a ticket is called a scratcher. An ad for this lottery claims that the42%of the population all scratching posts are winners. You want to investigate this claim by selecting a random sample of48scratching posts Follow these steps to construct a confidence interval for the95%for the population proportion of all winning tickets. Then indicate whether the confidence interval you constructed contradicts the ad claim. (If necessary, you can refer to a list of formulas.) (to) Click on "Take sample" to see the results of the random sample. Take a sample winning scratching Sample size: 48 post loser scratcher Number 12 36 Proportion 0.25 0.75 Enter the values for the sample size, the point estimate of the population proportion, and the critical value you need to construct the confidence interval of the95%. (Choose the correct critical value from the critical value table provided.) When finished, click on "Calculate". Standard error: 0.063 X Ś
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 26 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON