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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 Californi 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.) Part (a) + Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. Since a < p-value, we reject the null hypothesis. Since a > p-value, we reject the null hypothesis. Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: O 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 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%.

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 Californi 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.) Part (a) + Part (b) Part (c) Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. Since a < p-value, we reject the null hypothesis. Since a > p-value, we reject the null hypothesis. Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: O 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 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%.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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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.) Part (a) + Part (b) Part (c) Part (d) Part (e) + Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. Since a < p-value, we reject the null hypothesis. Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: 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 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. 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.) Part (a) + Part (b) Part (c) Part (d) Part (e) + Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) α = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: O Since a < p-value, we do not reject the null hypothesis. Since a < p-value, we reject the null hypothesis. Since a > p-value, we reject the null hypothesis. O Since a > p-value, we do not reject the null hypothesis. (iv) Conclusion: 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 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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