What is the multiplier for an interval that estimates the proportion with (a) 88% confidence? (b) 98% confidence?
What is the multiplier for an interval that estimates the proportion with (a) 88% confidence? (b) 98% confidence?
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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79
![# 7.10 Topic 10: Inference for One Proportion
## Questions
### 78. Complete the Sentences
Choose the correct word(s) to fill in the blank for each sentence.
(a) A point estimate is obtained from the ______ (sample/population).
(b) A point estimate is used to make inferences about the ______ (sample statistic/population parameter).
(c) As the sample size decreases, the width of the confidence interval ______ (increases/decreases/does not change).
(d) As the level of confidence increases, the width of the confidence interval ______ (increases/decreases/does not change).
(e) As the point estimate increases, the width of the confidence interval ______ (increases/decreases/does not change).
(f) Interpretations of a confidence interval are always in terms of the ______ (sample/population).
### 79. Confidence Interval Multiplier
What is the multiplier for an interval that estimates the proportion with:
- (a) 88% confidence?
- (b) 98% confidence?
### 80. Research on Smartphone Usage While Driving
Research commissioned by AT&T and conducted by Braun Research in 2015 polled 2,067 people in the U.S. aged 16-65 who use their smartphone and drive at least once a day. An unsettling 17% of the respondents admitted to taking pictures/selfies while driving.
- (a) What is the point estimate for the proportion of drivers who take pictures with a smartphone while driving?
- (b) What is the multiplier for a 90% confidence interval to estimate the proportion of drivers who take photos?
- (c) What is the standard error for the proportion who take photos?
- (d) What is the margin of error?
- (e) Construct a confidence interval for the proportion of all drivers who take pictures while driving.
- (f) Interpret the interval.
- (g) A friend claims that 25% of drivers take pictures while behind the wheel. Is your friend’s claim valid? Explain.
### 81. Facebook Usage While Driving
Research commissioned by AT&T and conducted by Braun Research in 2015 polled 2,067 people in the U.S. aged 16-65 who use their smartphone and drive at least once a day. When asked if they used Facebook while driving, 558 respondents answered "yes".
- (a) What is the point](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d86676b-0eb6-42ee-b104-da46ee0f3304%2Fc79a3c21-7932-4998-9255-cc960cd91f7a%2Fdghaxo.jpeg&w=3840&q=75)
Transcribed Image Text:# 7.10 Topic 10: Inference for One Proportion
## Questions
### 78. Complete the Sentences
Choose the correct word(s) to fill in the blank for each sentence.
(a) A point estimate is obtained from the ______ (sample/population).
(b) A point estimate is used to make inferences about the ______ (sample statistic/population parameter).
(c) As the sample size decreases, the width of the confidence interval ______ (increases/decreases/does not change).
(d) As the level of confidence increases, the width of the confidence interval ______ (increases/decreases/does not change).
(e) As the point estimate increases, the width of the confidence interval ______ (increases/decreases/does not change).
(f) Interpretations of a confidence interval are always in terms of the ______ (sample/population).
### 79. Confidence Interval Multiplier
What is the multiplier for an interval that estimates the proportion with:
- (a) 88% confidence?
- (b) 98% confidence?
### 80. Research on Smartphone Usage While Driving
Research commissioned by AT&T and conducted by Braun Research in 2015 polled 2,067 people in the U.S. aged 16-65 who use their smartphone and drive at least once a day. An unsettling 17% of the respondents admitted to taking pictures/selfies while driving.
- (a) What is the point estimate for the proportion of drivers who take pictures with a smartphone while driving?
- (b) What is the multiplier for a 90% confidence interval to estimate the proportion of drivers who take photos?
- (c) What is the standard error for the proportion who take photos?
- (d) What is the margin of error?
- (e) Construct a confidence interval for the proportion of all drivers who take pictures while driving.
- (f) Interpret the interval.
- (g) A friend claims that 25% of drivers take pictures while behind the wheel. Is your friend’s claim valid? Explain.
### 81. Facebook Usage While Driving
Research commissioned by AT&T and conducted by Braun Research in 2015 polled 2,067 people in the U.S. aged 16-65 who use their smartphone and drive at least once a day. When asked if they used Facebook while driving, 558 respondents answered "yes".
- (a) What is the point
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