MATH 3339 EXAMINATION SET 2026
SOLVED QUESTIONS GRADED A+
● Suppose that in a large metropolitan area, 73% of all households have
cable tv. Suppose you are interested in selecting a group of six
households from this area. Let X be the number of households in a group
of six households from this area that have cable tv. For what proportion
of groups will at most three of the households have cable tv? Answer:
pbinom(3, size = 6, prob = .73)
● Find a value of c so that P(Z <= c) = .76 Answer: qnorm(.76)
● If the P-value is larger than the level of significance α, then the
researcher should __________ at level α Answer: Fail to reject the null
hypothesis
● A random sample of 144 observations produced a sample proportion
of 0.35. An approximate 90% confidence interval for the population
proportion p is between Answer: .35 + c(-1, 1) * qnorm(1-.10/2) *
sqrt((.35* (1-.4))/144)
One-proportion z-test
● Identify the most appropriate test to use for the following situation: A
private and a public university are located in the same city. For the
SOLVED QUESTIONS GRADED A+
● Suppose that in a large metropolitan area, 73% of all households have
cable tv. Suppose you are interested in selecting a group of six
households from this area. Let X be the number of households in a group
of six households from this area that have cable tv. For what proportion
of groups will at most three of the households have cable tv? Answer:
pbinom(3, size = 6, prob = .73)
● Find a value of c so that P(Z <= c) = .76 Answer: qnorm(.76)
● If the P-value is larger than the level of significance α, then the
researcher should __________ at level α Answer: Fail to reject the null
hypothesis
● A random sample of 144 observations produced a sample proportion
of 0.35. An approximate 90% confidence interval for the population
proportion p is between Answer: .35 + c(-1, 1) * qnorm(1-.10/2) *
sqrt((.35* (1-.4))/144)
One-proportion z-test
● Identify the most appropriate test to use for the following situation: A
private and a public university are located in the same city. For the
