din men 43%

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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(4) In a randomly selected sample of 100 students at a University, 85% had use of a laptop computer.
Calculate a 99% confidence interval for the proportion of all students who had use of a laptop computer.
(5) To conduct a research project on college student income, the number of students to sample
needs to be calculated. To estimate the mean population income, we decide to use a 99% level
of confidence. The desired margin of error is plus or minus $200. The standard deviation from
other studies of student income is $1500. What sample size should be used?
(6) An investigator wants to estimate the prevalence of breast cancer among women who are
between 40 and 45 years of age living in Boston. How many women must be involved in the
study to ensure that the estimate is precise? National data suggest that 1 in 235 women are
diagnosed with breast cancer by age 40. This translates to a proportion of 0.0043 (0.43%) or a
prevalence of 43 per 10,000 women. Suppose the investigator wants the estimate to be within
10 per 10,000 women with 95% confidence
(7) An investigator wants to estimate the proportion of freshmen at his University who currently
smoke cigarettes (i.e., the prevalence of smoking). How many freshmen should be involved in
the study to ensure that a 95% confidence interval estimate of the proportion of freshmen who
smoke is within 5% of the true proportion?
(8) To conduct a research project on whether college students purchase textbooks, the number of
students to sample needs to be calculated. To estimate the population proportion, we decide to
use a 95% level of confidence. The desired margin of error is plus or minus 0.10. There is no
onulation pronortion What sample size should be used?
Transcribed Image Text:(4) In a randomly selected sample of 100 students at a University, 85% had use of a laptop computer. Calculate a 99% confidence interval for the proportion of all students who had use of a laptop computer. (5) To conduct a research project on college student income, the number of students to sample needs to be calculated. To estimate the mean population income, we decide to use a 99% level of confidence. The desired margin of error is plus or minus $200. The standard deviation from other studies of student income is $1500. What sample size should be used? (6) An investigator wants to estimate the prevalence of breast cancer among women who are between 40 and 45 years of age living in Boston. How many women must be involved in the study to ensure that the estimate is precise? National data suggest that 1 in 235 women are diagnosed with breast cancer by age 40. This translates to a proportion of 0.0043 (0.43%) or a prevalence of 43 per 10,000 women. Suppose the investigator wants the estimate to be within 10 per 10,000 women with 95% confidence (7) An investigator wants to estimate the proportion of freshmen at his University who currently smoke cigarettes (i.e., the prevalence of smoking). How many freshmen should be involved in the study to ensure that a 95% confidence interval estimate of the proportion of freshmen who smoke is within 5% of the true proportion? (8) To conduct a research project on whether college students purchase textbooks, the number of students to sample needs to be calculated. To estimate the population proportion, we decide to use a 95% level of confidence. The desired margin of error is plus or minus 0.10. There is no onulation pronortion What sample size should be used?
Expert Solution
Step 1

Here it is given that-

In a randomly selected sample of 100 students at a university, 85% had use of a laptop computer.

Proportion (p) = 85100=0.85

q = 1-p = 1- 0.85 = 0.15

Total number of samples (n) = 100

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