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Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 300 claimed to always bučkle up. We are interested in the populatión who claim to always buckle up. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption O Part (a) (1) (i) n= (ii) p'= (rounded to four decimal places) O Part (b) O Part (c) Which distribution should you use for this problem? (Round your answer to four decimal places.) Explain your choice. O The normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The Student's t-distribution should be used because V npg s 10, which implies a small sample.

Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 300 claimed to always bučkle up. We are interested in the populatión who claim to always buckle up. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption O Part (a) (1) (i) n= (ii) p'= (rounded to four decimal places) O Part (b) O Part (c) Which distribution should you use for this problem? (Round your answer to four decimal places.) Explain your choice. O The normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The Student's t-distribution should be used because V npg s 10, which implies a small sample.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
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Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 300 claimed to always buckle up. We are interested in the population proportion of drivers who claim to always buckle up. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) (i) x = (ii) n = (ii) p'= (rounded to four decimal places) O Part (b) A Part (c) Which distribution should you use for this problem? (Round your answer to four decimal places.) P'- Explain your choice. O The normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The Student's t-distribution should be used because Vnpg s 10, which implies a small sample. O The binomial distribution should be used because there are two outcomes, buckle up or do not buckle up. Correct! We use the standard normal distribution to create confidence intervals about the population proportion.
Transcribed Image Text:Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 300 claimed to always buckle up. We are interested in the population proportion of drivers who claim to always buckle up. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) (i) x = (ii) n = (ii) p'= (rounded to four decimal places) O Part (b) A Part (c) Which distribution should you use for this problem? (Round your answer to four decimal places.) P'- Explain your choice. O The normal distribution should be used because we are interested in proportions and the sample size is large. O The Student's t-distribution should be used because we do not know the standard deviation. O The Student's t-distribution should be used because Vnpg s 10, which implies a small sample. O The binomial distribution should be used because there are two outcomes, buckle up or do not buckle up. Correct! We use the standard normal distribution to create confidence intervals about the population proportion.
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