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Follow the steps below to construct a 95% confidence interval for the population proportion of all winning scratchers. Then state whether the confidence interval you construct contradicts the advertisement's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Sample size: Winning scratcher Losing scratcher Point estimate: Number 12 36 Proportion 0.25 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 0.75 Standard error: Margin of error: Critical values 20.005=2.576 2.326

Follow the steps below to construct a 95% confidence interval for the population proportion of all winning scratchers. Then state whether the confidence interval you construct contradicts the advertisement's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Sample size: Winning scratcher Losing scratcher Point estimate: Number 12 36 Proportion 0.25 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 0.75 Standard error: Margin of error: Critical values 20.005=2.576 2.326

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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PART C
 
(c)Does the 95% confidence interval you constructed contradict the claim from the advertisement?
Choose the best answer from the choices below.
 
___ No, the confidence interval does not contradict the claim. The proportion 0.42 from the advertisement is inside the 95% confidence interval.
 
___ No, the confidence interval does not contradict the claim. The proportion 0.42 from the advertisement is outside the 95% confidence interval.
 
___ Yes, the confidence interval contradicts the claim. The proportion 0.42 from the advertisement is inside the 
95% confidence interval.
 
___ Yes, the confidence interval contradicts the claim. The proportion  0.42 from the advertisement is outside the 
95% confidence interval.

 

There is a popular lottery in which a ticket is called a scratcher. An advertisement for this lottery claims that 42% of the population of all the scratchers are winning ones. You want to research this claim by selecting a random sample of 48 scratchers. Follow the steps below to construct a 95% confidence interval for the population proportion of all winning scratchers. Then state whether the confidence interval you construct contradicts the advertisement's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Sample size: 0 Winning scratcher Losing scratcher Point estimate: 0 Number 12 36 Proportion 0.25 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 0.75 Standard error: Margin of error: X Critical values 20.005=2.576 7 = 2326 5
Transcribed Image Text:There is a popular lottery in which a ticket is called a scratcher. An advertisement for this lottery claims that 42% of the population of all the scratchers are winning ones. You want to research this claim by selecting a random sample of 48 scratchers. Follow the steps below to construct a 95% confidence interval for the population proportion of all winning scratchers. Then state whether the confidence interval you construct contradicts the advertisement's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Take Sample Sample size: 0 Winning scratcher Losing scratcher Point estimate: 0 Number 12 36 Proportion 0.25 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 0.75 Standard error: Margin of error: X Critical values 20.005=2.576 7 = 2326 5
(b) Point estimate: П Critical value: Compute 0.000 Margin of error: 0.000 95% confidence interval: Based on your sample, graph the 95% confidence interval for the population proportion of all winning scratchers. • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (◆), enter the claim 0.42 from the advertisement. 95% confidence interval: Critical values 0.500 20.005=2.576 0.010 2.326 20.025 1.960 0.050 1.645 20.100 1.282 1.000 1.000
Transcribed Image Text:(b) Point estimate: П Critical value: Compute 0.000 Margin of error: 0.000 95% confidence interval: Based on your sample, graph the 95% confidence interval for the population proportion of all winning scratchers. • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (◆), enter the claim 0.42 from the advertisement. 95% confidence interval: Critical values 0.500 20.005=2.576 0.010 2.326 20.025 1.960 0.050 1.645 20.100 1.282 1.000 1.000
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