Find the critical value z12 that corresponds to the confidence level 97%. Za12 =L| (Round to two decimal places as needed.) Za/2

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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Find the critical value z12 that corresponds to the confidence level 97%.
Za/2 =|
(Round to two decimal places as needed.)
Za12
Transcribed Image Text:Find the critical value z12 that corresponds to the confidence level 97%. Za/2 =| (Round to two decimal places as needed.) Za12
Use the sample data and confidence level given below to complete parts (a) through (d).
In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2596 subjects randomly selected from an online group involved with ears. 963 surveys were returned. Construct a 95% confidence interval for the proportion
of returned surveys.
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E=D
(Round to three decimal places as needed.)
c) Construct the confidence interval.
O<p<O
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. One has 95% confidence that the sample proportion is equal to the population proportion.
B. 95% of sample proportions will fall between the lower bound and the upper bound.
C. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
D. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
Transcribed Image Text:Use the sample data and confidence level given below to complete parts (a) through (d). In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2596 subjects randomly selected from an online group involved with ears. 963 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. O<p<O (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 95% confidence that the sample proportion is equal to the population proportion. B. 95% of sample proportions will fall between the lower bound and the upper bound. C. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. D. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
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