A study was done to determine if students learn better in an…

A study was done to determine if students learn better in an online basic statistics class versus a traditional face-to-face (f2f) course. A random sample of 12 students in an online course and 15 students in an f2f course was taken. The scores (out of 100) on the final exam of both groups are shown below. Online class 60 100 95 80 67 88 76 86 90 95 91 100       f2f 55 70 90 81 67 89 34 76 94 88 100 67 93 76 89 Using a significance level of α = .05, the null hypothesis would be rejected.

A newspaper is conducting a statewide survey concerning the…

A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate? To answer this, they will test the hypotheses H0: p = 0.50 versus Ha: p > 0.50.  If n = 120 and r = 64, what is the P-value for this hypothesis test?