statistics chapter 9

In a particu ar year, 35.570 0' on me courses tauglit at a system 0 community col eyes were taugHt 5y u -tIme acu ty. To test I 3350 a 50 represents a particular state 5 percent or U -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 rst prove that assumption, though.) El Part (a) 2| Part ([7) Part (0) WEI Part (a) State the distribution to use for the test. (Round your standard deviation to four decimal places.) ( , ) El Part (0) What is the test statistic? (Round your answer to two decimal places.) ---Select--- = El Part (i) What is the p-value? (Round your answer to four decimal places.) Explain what the pvalue means for this problem. C If H0 is true, then there is a chance equal to the pvalue that the proportion of online courses taught by full-time faculty is not at least as different as the sample proportion is from 68%. A If H0 is true, then there is a chance equal to the pvalue that the proportion of online courses taught by full-time faculty is at least as different as the sample proportion is from 68%. T? If H0 is false, then there is a chance equal to the p-value that the proportion of online courses taught by full-time faculty is at least as different as the sample proportion is from 68%. C If H0 is false, then there is a chance equal to the p-value that the proportion of online courses taught by full-time faculty is not at least as dilferent as the sample proportion is from 68%