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 normally distribut

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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. 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 normally distributed. (In general, you must first prove that assumption, though.)

State the distribution to use for the test. (Round your answers to four decimal places.)
P'-N
0.68
0.0703
O Part (e)
What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)
1.323
O Part (f)
What is the p-value? (Round your answer to four decimal places.)
0.1858
Transcribed Image Text:State the distribution to use for the test. (Round your answers to four decimal places.) P'-N 0.68 0.0703 O Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) 1.323 O Part (f) What is the p-value? (Round your answer to four decimal places.) 0.1858
Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your
answers to four decimal places.)
95% C.I.
0.773
0.699
0.877
Transcribed Image Text:Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.) 95% C.I. 0.773 0.699 0.877
Expert Solution
Step 1

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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