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.

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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.
State the null and alternative hypotheses. (Enter != for as needed.).
Ho
H₂
What is the test statistic? (Round your answer to two decimal places.)
4
What is/are the critical value(s)? (If using the z distribution round your answer(s) to two decimal places, and if using the t distribution round your answer(s) to three decimal places.
Enter NONE for any unused answer blanks.)
lower tail
upper tail
What is the decision of the test and what conclusions can be drawn?
O At the 5% level of significance we would reject H, and conclude that there is not sufficient evidence to conclude that the percent of online courses taught at community colleges in
the state is not equal to 68%.
O At the 5% level of significance we would fail to reject Ho and conclude that there is sufficient evidence to conclude that the percent of online courses taught at community colleges
in the state is not equal to 68%.
O At the 5% level of significance we would reject H and conclude that there is sufficient evidence to conclude that the percent of online courses taught at community colleges in the
state is not equal to 68%.
O At the 5% level of significance we would fail to reject Ho and conclude that there is not sufficient evidence to conclude that the percent of online courses taught at community.
colleges in the state is not equal to 68%.
Transcribed Image Text: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. State the null and alternative hypotheses. (Enter != for as needed.). Ho H₂ What is the test statistic? (Round your answer to two decimal places.) 4 What is/are the critical value(s)? (If using the z distribution round your answer(s) to two decimal places, and if using the t distribution round your answer(s) to three decimal places. Enter NONE for any unused answer blanks.) lower tail upper tail What is the decision of the test and what conclusions can be drawn? O At the 5% level of significance we would reject H, and conclude that there is not sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not equal to 68%. O At the 5% level of significance we would fail to reject Ho and conclude that there is sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not equal to 68%. O At the 5% level of significance we would reject H and conclude that there is sufficient evidence to conclude that the percent of online courses taught at community colleges in the state is not equal to 68%. O At the 5% level of significance we would fail to reject Ho and conclude that there is not sufficient evidence to conclude that the percent of online courses taught at community. colleges in the state is not equal to 68%.
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