In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 35 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.

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I need help answering:  part H and part I 

I also need a picture sketched of the situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. (Upload your file below.)

In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 35 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.

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.)

A Hypothesis Tests - 1 sample - X
b Answered: State the distributio X
E Rounding Numbers Calculator
From Generation To Generation X
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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:
a =
(ii) Decision:
reject the null hypothesis
do not reject the null hypothesis
(iii) Reason for decision:
Since a > p-value, we do not reject the null hypothesis.
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.
(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%.
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%.
Part (i)
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.
Transcribed Image Text:A Hypothesis Tests - 1 sample - X b Answered: State the distributio X E Rounding Numbers Calculator From Generation To Generation X New Tab webassign.net/web/Student/Assignment-Responses/submit?dep=24266164&tags=autosave#question3174743_13 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: a = (ii) Decision: reject the null hypothesis do not reject the null hypothesis (iii) Reason for decision: Since a > p-value, we do not reject the null hypothesis. 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. (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%. 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%. Part (i) 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.
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