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 43 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. (2f necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Tako Sample Sample size: 0 Point estimate: 0 36 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". Critical value: Computa 0.000 winning scratcher Losing scratcher 0.000 Number Proportion 0.25 0.75 Standard error: Margin of error: 95% confidence interval: (b) 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: 6.500 Critical values -2.576 2.326 1.960 1.645 Z 1.282 1.000 1.000 照日 192 D
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 43 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. (2f necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Tako Sample Sample size: 0 Point estimate: 0 36 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". Critical value: Computa 0.000 winning scratcher Losing scratcher 0.000 Number Proportion 0.25 0.75 Standard error: Margin of error: 95% confidence interval: (b) 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: 6.500 Critical values -2.576 2.326 1.960 1.645 Z 1.282 1.000 1.000 照日 192 D
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:(c)
Does the 95% confidence interval you constructed contradict the claim from the advertisement?
Choose the best answer from the choices below.
O No, the confidence interval does not contradict the claim. The proportion 0.42 from the advertisement is inside the
95% confidence interval.
O No, the confidence interval does not contradict the claim. The proportion 0.42 from the advertisement is outside
the 95% confidence interval.
O Yes, the confidence interval contradicts the claim. The proportion 0.42 from the advertisement is inside the 95%
confidence interval.
O Yes, the confidence interval contradicts the claim. The proportion 0.42 from the advertisement is outside the 95%
confidence interval.
X
3
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.
Tako Sample
Sample size:
Point estimate:
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".
Critical value:
Compute
0.000
winning scratcher
Losing scratcher
0.000
Number
12
36
Proportion
0.25
0.75
Standard error:
Margin of error:
95% confidence interval:
(b) 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:
0.500
Critical values
= 2.576
2000=2.326
2005=1.960
2000=1.645
0.100 = 1.282
1.000
1.000
B
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