A random sample of 400 students involved in club activities showed that 250 were women. What is an approximate 95 confidence interval for the proportion of all students involved in club activities who are women?
Q. 2A random sample of 2000 students showed that 800 were in favor of more movies on campus. Report the results of this poll using the sample proportion and margin of error.
Q. 3During the graduation ceremonies, a student who writes for the school newspaper decides to sample some of the graduating seniors for a quick survey. After the students receive their diploma and step off the stage, he will ask them the question: Have you already been accepted to college at this point? What sample size would be needed to provide a margin of error of about 10?
a. n = 1
b. n = 10
c. n = 100
d. n = 1000
Q. 4A student organization is trying to decide whether or not to offer more movies on campus. A random sample of students is about to be asked if they are in favor of more free movies on campus. What sample size would be needed to provide a margin of error of about 3?
a. n = 33
b. n = 1000
c. n = 1001
d. n = 1112
Q. 5Recently a group of adults who swim regularly for exercise was evaluated for depression. Each person's depression status was recorded as either currently depressed, likely to get depressed, or not depressed. It turned out that these swimmers were less likely to be depressed than the general population. What sample size was used if the margin of error was about 6?
a. n = 17
b. n = 36
c. n = 278
d. n = 400
Q. 6Which one of the following statements is true?
a. Increasing the sample size of a survey decreases the margin of error.
b. Increasing the sample size of a survey increases the margin of error.
c. Increasing the sample size of a survey decreases the impact of response bias.
d. Increasing the sample size of a survey increases the impact of response bias.
Q. 7In a random sample of n = 400 people, 40 say they have allergies. The conservative margin of error is reported to be 5. What is a 95 confidence interval for the percent of the population that has allergies?
a. 25 to 55
b. 30 to 50
c. 35 to 45
d. 40 to 45
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