Consider the example of two-week drinking rate among USF undergrads (lecture note 7a). For testing H0 p=0.5 vs. H0: p>0.5 at significance level α =0.01. Suppose we did two new surveys of USF students. One involved 50 students and 32 reported drinking, and another involved 100 students and 64 reported drinking. Note the observed rate of drinking was the same in both cases although the sample size of the latter was twice as big. The critical region {X ¯>c} and p-value for the two cases are respectively, Consider the example of two-week drinking rate among USF undergrads (lecture note 7a). For testing H0 p=0.5 vs. H0: p>0.5 at significance level α =0.01. Suppose we did two new surveys of USF students. One involved 50 students and 32 reported drinking, and another involved 100 students and 64 reported drinking. Note the observed rate of drinking was the same in both cases although the sample size of the latter was twice as big. The critical region {X ¯>c} and p-value for the two cases are respectively,

i. c=0.6163, p-value=.0026 and c=0.6645, p-value=.0239
ii. c=0.6163, p-value=.0239 and c=0.6645, p-value=.0026
iii. c=0.6645, p-value=.0239 and c=.6163, p-value=.0026
iv. c=0.6645, p-value=.0026 and c=0.6163, p-value=.0239
v. p-value decreases and significance increases with sample size
vi. p-value increases and significance decreases with sample size

Answer

A. ii & vi
B. iii & v
C. i & vi
D. iv & v