For each of the following statements, determine if they are true or false. The probability of the intersection of two events A and B, and the probability of the union of A and B can never be equal.
a. True
b. False
Q. 2A randomly selected sample of 400 students at a university with 15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent of the 400 students surveyed answered yes. Based on the sample data, what is the standard error of the sample proportion of students who answered yes to the question?
Q. 3For each of the following statements, determine if they are true or false. If two events A and B are mutually exclusive, they must also be independent.
a. True
b. False
Q. 4A randomly selected sample of 400 students at a university with 15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent of the 400 students surveyed answered yes. Which one of the following description of the number 46 is not correct?
a. point estimate
b. population parameter
c. sample estimate
d. sample statistic
Q. 5For each of the following statements, determine if they are true or false. If two events A and B are independent, they must also be mutually exclusive.
a. True
b. False
Q. 6A randomly selected sample of 400 students at a university with 15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent of the 400 students surveyed answered yes. Which one of the following statements about the number 46 is correct?
a. It is a sample statistic.
b. It is a population parameter.
c. It is a margin of error.
d. It is a standard error.
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