Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California was randomly selected for comparison. In the same year, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data.
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is
We have given that
Sample size n =44
Favorable cases x =34
Sample proportion p^=x/n
=34/44
=0.7727
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