MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In light of evidence about how COVID-19 spreads, the CDC recommends that people wear a cloth facemask to cover their nose and mouth in the
community setting. The following is adapted from the National Panel Study of COVID-19 by Vargas et al. A key finding of this study is: "Whether or not
an American wears a facemask in public probably has a lot to do with their political affiliation". Results consistent with the survey conducted between
April 14 and April 21, 2020 are summarized in the table below:
Masked
Unmasked
Total
Democrats
829
309
1138
Republicans
640
445
1085
Round all calculated values in this problem to 4 decimal places.
1. Provide a point estimate for the population proportion of Democrats who wore a mask to help prevent the spread of COVID-19 at the time of the
survey.
p =
0.37292
2. Construct a 90% confidence interval for the population proportion of Democrats who wore a mask to help prevent the spread of COVID-19 at the
time of the survey.
( 0.356048
0.3897919
3. Which of the following conditions must be met for the confidence interval to be valid? Select all that apply.
A. The observations must be independent of one another.
B. There must be at least 10 'success' and 10 'failure' observations.
|C. The sample size must be at least 30 or the population data must be normally distributed.
D. There must be an expected count of at least 5 in every cell of the table.
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Transcribed Image Text:In light of evidence about how COVID-19 spreads, the CDC recommends that people wear a cloth facemask to cover their nose and mouth in the community setting. The following is adapted from the National Panel Study of COVID-19 by Vargas et al. A key finding of this study is: "Whether or not an American wears a facemask in public probably has a lot to do with their political affiliation". Results consistent with the survey conducted between April 14 and April 21, 2020 are summarized in the table below: Masked Unmasked Total Democrats 829 309 1138 Republicans 640 445 1085 Round all calculated values in this problem to 4 decimal places. 1. Provide a point estimate for the population proportion of Democrats who wore a mask to help prevent the spread of COVID-19 at the time of the survey. p = 0.37292 2. Construct a 90% confidence interval for the population proportion of Democrats who wore a mask to help prevent the spread of COVID-19 at the time of the survey. ( 0.356048 0.3897919 3. Which of the following conditions must be met for the confidence interval to be valid? Select all that apply. A. The observations must be independent of one another. B. There must be at least 10 'success' and 10 'failure' observations. |C. The sample size must be at least 30 or the population data must be normally distributed. D. There must be an expected count of at least 5 in every cell of the table.
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