What is the multiplier for an interval that estimates the proportion with (a) 88% confidence? (b) 98% confidence?

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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
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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