From a very large (essentially infinite) population, of which half are men and half are women, you take a random sample, with replacement. Use the provided random number table and assume each single digit represents selection of one person; the odd numbers represent women and the even numbers (0, 2, 4, 6, 8) represent men. Complete parts (a) through (c) below. E Click the icon for a table of random numbers. a. Start on the left side of the top line (with 598) and count 10 people. What percentage of the sample will be men? O% (Type an integer or a decimal. Do not round.) b. Start in the middle of the second line (with 453) and count 20 people. What percentage of the sample will be men? O% (Type an integer or a decimal. Do not round.) c. If parts (a) and (b) were repeated many times, which sample would typically come closer to 50% - the sample of 10 or the sample of 20? Why? OA. Both samples will have about the same precision, because the precision of p depends only on the population size. The larger the population, the more precise the estimate. OB. The sample of 10 would be more likely to have a proportion close to 50%, because the precision of p depends only on the size of the sample. The estimate is more precise if the sample is smaller. OC. The sample of 20 would be more likely to have a proportion close to 50%, because the precision of p depends only on the size of the sample. The estimate is more precise if the sample is larger. OD. The sample of 10 would be more likely to have a proportion close to 50%, because the sample of 20 is too large relative to the population to be reliable. O Random Number Table 59888 13525 83577 43901 07948 32452 01477 45311 15107 99770 58768 88407 Print Done
From a very large (essentially infinite) population, of which half are men and half are women, you take a random sample, with replacement. Use the provided random number table and assume each single digit represents selection of one person; the odd numbers represent women and the even numbers (0, 2, 4, 6, 8) represent men. Complete parts (a) through (c) below. E Click the icon for a table of random numbers. a. Start on the left side of the top line (with 598) and count 10 people. What percentage of the sample will be men? O% (Type an integer or a decimal. Do not round.) b. Start in the middle of the second line (with 453) and count 20 people. What percentage of the sample will be men? O% (Type an integer or a decimal. Do not round.) c. If parts (a) and (b) were repeated many times, which sample would typically come closer to 50% - the sample of 10 or the sample of 20? Why? OA. Both samples will have about the same precision, because the precision of p depends only on the population size. The larger the population, the more precise the estimate. OB. The sample of 10 would be more likely to have a proportion close to 50%, because the precision of p depends only on the size of the sample. The estimate is more precise if the sample is smaller. OC. The sample of 20 would be more likely to have a proportion close to 50%, because the precision of p depends only on the size of the sample. The estimate is more precise if the sample is larger. OD. The sample of 10 would be more likely to have a proportion close to 50%, because the sample of 20 is too large relative to the population to be reliable. O Random Number Table 59888 13525 83577 43901 07948 32452 01477 45311 15107 99770 58768 88407 Print Done
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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![From a very large (essentially infinite) population, of which half are men and half are women, you take a random sample, with replacement. Use the provided random number table and assume each single digit represents selection of one person; the odd numbers represent women and the even numbers (0, 2, 4, 6, 8) represent men. Complete parts (a) through (c) below.
- Click the icon for a table of random numbers.
a. Start on the left side of the top line (with 598) and count 10 people. What percentage of the sample will be men?
\[
\% \text{ (Type an integer or a decimal. Do not round.)}
\]
b. Start in the middle of the second line (with 453) and count 20 people. What percentage of the sample will be men?
\[
\% \text{ (Type an integer or a decimal. Do not round.)}
\]
c. If parts (a) and (b) were repeated many times, which sample would typically come closer to 50% – the sample of 10 or the sample of 20? Why?
- A. Both samples will have about the same precision, because the precision of \( \hat{p} \) depends only on the population size. The larger the population, the more precise the estimate.
- B. The sample of 10 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is smaller.
- C. The sample of 20 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is larger.
- D. The sample of 10 would be more likely to have a proportion close to 50%, because the sample of 20 is too large relative to the population to be reliable.
Random Number Table:
- 59888 13525 83577 43901
- 07948 01477 43511 15107
- 32452 99770 58768 88407
- [Print] [Done]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2f49e8b-eabf-4587-a1db-d4952a79435d%2Fadae0a41-91bb-461e-a333-908037312f15%2Fmqsdvkp_processed.png&w=3840&q=75)
Transcribed Image Text:From a very large (essentially infinite) population, of which half are men and half are women, you take a random sample, with replacement. Use the provided random number table and assume each single digit represents selection of one person; the odd numbers represent women and the even numbers (0, 2, 4, 6, 8) represent men. Complete parts (a) through (c) below.
- Click the icon for a table of random numbers.
a. Start on the left side of the top line (with 598) and count 10 people. What percentage of the sample will be men?
\[
\% \text{ (Type an integer or a decimal. Do not round.)}
\]
b. Start in the middle of the second line (with 453) and count 20 people. What percentage of the sample will be men?
\[
\% \text{ (Type an integer or a decimal. Do not round.)}
\]
c. If parts (a) and (b) were repeated many times, which sample would typically come closer to 50% – the sample of 10 or the sample of 20? Why?
- A. Both samples will have about the same precision, because the precision of \( \hat{p} \) depends only on the population size. The larger the population, the more precise the estimate.
- B. The sample of 10 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is smaller.
- C. The sample of 20 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is larger.
- D. The sample of 10 would be more likely to have a proportion close to 50%, because the sample of 20 is too large relative to the population to be reliable.
Random Number Table:
- 59888 13525 83577 43901
- 07948 01477 43511 15107
- 32452 99770 58768 88407
- [Print] [Done]
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