In a survey of 3240 adults aged 57 through 85 years, it was found that 84.5% of them used at least one prescription medication. Complete parts (a) through (c) below.a. How many of the 3240 subjects used at least one prescription medication?|(Round to the nearest integer as needed.)b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.D%

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Answered: In a survey of 3240 adults aged 57…

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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You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 lived to become butterflies. a. Use 3 decimal places to complete the following statement: With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 427 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
Listed below are the amounts of net worth in millions of the 10 wealthiest celebrities in a certain country. Construct a 90% confidence interval. What does the result tell us about the population of all the celebrities? Does the data appear to be from a normally distributed population as required? 247 208 196 173 166 161 148 148 143 143
2. According to the website Rotten Tomatoes, 94% of people who watched the Netflix show Stranger Things liked it. Since UR students tend to be scientifically minded, we hypothesize that less than 94% of UR students like the show. Out of 219 surveyed UR students, 198 indicated they like Stranger Things. Use the built in prop.test() function to: a. Construct a 90% confidence interval for the proportion of UR students who like Stranger Things. b. Test at the a=0.10 significance level whether the proportion of students who like Stranger Things is LESS THAN 0.94. What conclusion do you reach?
Answer Part B
What can you say about the relationship between the standard deviation of the sample mean and the population standard deviation? 2. What can you say about the relationship between the sample size and the standard deviation of the sample mean? 3. Does the sample size influence the shape of the sampling distribution? Hint: Compare the sample mean sampling distribution when n=5 to the sample mean sampling distribution when n=30
4.A prior study(by Pew Research 2021)found that 35 out of 50 randomly selected US adults between the ages of 18 to 29 use (or have used) Instagram. Construct a 99% confidence interval for the population proportion of US adults between the ages of 18 to 29 use (or have used) Instagram. (round to three decimal places) a.Identify the following: X, N, P b.Which distribution should you use for this problem? c.What is the corresponding critical value for a 99% confidence interval? d.Calculate the margin of error (3 decimal places) e.Construct a 99% confidence interval f. Interpret the interval.
A survey of 32,782 adults in 2004 indicated that 24.6% of adults were current smokers. A similar study conducted in 1995 of 40,000 adults indicated that 29.7% were current smokers. a. Find and interpret a point estimate of the difference between the proportion of current smokers in 1995, and the proportion of current smokers in 2004. b. A 95% confidence interval for the true difference is (-0.058,-0.045). Interpret. c. What assumptions must you make for the confidence interval i part b to be valid? (…) a. Find a point estimate of the difference between the proportion of current smokers in 1995 and the proportion of current smokers in 2004. (Round to three decimal places as needed.)
Ten engineering schools in the US were surveyed. the sample contains 250 electrical engineers, 80 being women; 175 chemical engineers, 40 being women. Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering. Select one: O a. (0.02, 0.16) Ob. (0.01, 0.17] O. (0.04, 0.14) O d. [0.03, 0.15]
The following numbers represent five randomly selected individuals’ ages: 20, 32, 36, 42, 45. If the age distribution for the whole population follows a normal distribution, which one represents the 90% confidence interval for the mean age based on this particular sample? A ) (20.26, 49.74) B ) (25.66, 44.34) C ) (14.83, 55.17) D ) (28.28, 41.72) E ) (23.72, 46.28)
Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities in a country. Construct a 95% confidence interval. What does the result tell us about the population of all celebrities? Do the data appear to be from a normally distributed population as required? 245 210 186 168 166 163 156 156 156 156
In a survey of 900 adults, 240 said that they watched the World Cup final on television. Using these sample statistics, calculate the margin of error, E, for a 90% confidence interval for the proportion of all adults that watched the World Cup final on television. A. 0.019 B. 0.024 C. 0.029 D. 0.034
In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 2%, and the estimate was made with 96% confidence. At least how many people were surveyed?

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