For the normal approximation to the binomial distribution with p = 1/2 and n = 100, what is the z-score corresponding to X = 60?
A) z = 0.4
B) z = 2.0
C) z = 0.2
D) z = 1.0
Question 2A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. What is the correct decision for a hypothesis test using = .05?
A) Reject the null hypothesis with a one-tailed test but fail to reject with two tails.
B) Reject the null hypothesis with either a one-tailed or a two-tailed test.
C) Fail to reject the null hypothesis with either a one-tailed or a two-tailed test.
D) Fail to reject the null hypothesis with a one-tailed test but reject with two tails.
Question 3A researcher is testing a null hypothesis stating that for the general population there is no preference between the two leading brands of cola. In a sample of n = 100 people, 35 preferred brand A and 65 preferred brand B. Assuming that the researcher uses a two-tailed test, what is the appropriate statistical decision?
A) Reject the null hypothesis with = .05 but not with = .01.
B) Reject the null hypothesis with either = .05 or = .01.
C) Fail to reject the null hypothesis with either = .05 or = .01.
D) No decision is possible without additional information.
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