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MATLAB: An Introduction with Applications

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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To find the proportion of San
Diegans subscribed to Disney+ in
2019, a researcher randomly
selected 200 people from San Diego
and found that 101 were
subscribed.
a) Check that the assumptions are
met for a confidence interval for
proportions.
b) Find a 95% confidence interval
estimate for the true proportion of
San Diegans subscribed to Disney+.
Round to four decimal places.
c) Interpret the interval found in part
b.
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1) A Gallup poll of 1015 randomly selected adults found that 69% would oppose a law that limited the size of soft drinks and other sugary beverages served in restaurants. Calculate and interpret a 95% confidence interval for the proportion of all adults that would oppose a law limiting the size of soft drinks.
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Suppose a certain study reported that 27.7% of high school students smoke. Random samples are selected from high school that has 632 students. (i) If a random sample of 60 students is selected, what is the probability that fewer than 19 of the students smoke? (ii) If a random sample of 75 students is selected, what is the probability that more than 17 of the students smoke? iii) Explain how to identify the minimum sample size needed to construct a confidence interval for the proportion with a specific margin of the error when the population proportion is unknown. (iv) A random sample of 175 registered voters revealed that 54% of them voted in the last election. Construct a 95% confidence interval to estimate the true proportion of voter turnout. (v) A pilot sample of 50 voters found that 30 of them voted in the last election. How many more voters must be sampled to construct a 95% interval with a margin of error equal to 0.04?
To find the proportion of San Diegans subscribed to Disney+ in 2019, a researcher randomly selected 200 people from San Diego and found that 101 were subscribed. a) Check that the assumptions are met for a confidence interval for proportions.
Suppose that a safety group surveyed 1,200 drivers. Among those surveyed,78% said that careless or aggressive driving was the biggest threat on the road, and 33% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 99% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is _____ to _____. (Round to three decimal places as needed. Use ascending order.)
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To find the proportion of San Diegans subscribed to Disney+ in 2019, a researcher randomly selected 200 people from San Diego and found that 101 were subscribed. b) Find a 95% confidence interval estimate for the true proportion of San Diegans subscribed to Disney+. Round to four decimal places. c) Interpret the interval found in part b.
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To find the proportion of San Diegans subscribed to Disney+ in 2019 a researcher randomly selected 200 people from San Diego and found that 101 were subscribed a) check that assumptions are meant for a confidence interval for proportion b) find a 95% confidence interval estimate for the true proportion of San Diegans subscribed to Disney+ and interpret the interval

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