A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference among three different designs for a new automobile. Each individual in a sample of n = 30 males and n = 30 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of 2 = 4.81, what is the appropriate statistical decision for the test?
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) Fail to reject the null hypothesis with = .10.
Question 2
A sample has a mean of M = 39.5 and a standard deviation of s = 4.3, and produces a t statistic of t = 2.14. For a two-tailed hypothesis test with = .05, what is the correct statistical decision for this sample?
A) The researcher can reject the null hypothesis with = .05 but not with = .01.
B) The researcher can reject the null hypothesis with either = .05 or = .01.
C) The researcher must fail to reject the null hypothesis with either = .05 or = .01.
D) It is impossible to make a decision about H0 without more information.
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