d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem. g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value. h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences Alpha: _______ b. Decision: _______ c. Reason for decision: _______ d. Conclusion: _______
I submitted this before, but was only able to recieve answers for a-c. Please only answer parts d-h. Thank you!
A student at a four-year college claims that enrollment at four–year colleges is higher than at two–year colleges in the United States. Two surveys are conducted. Of the 35 two–year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Use the following format to do the hypothesis test:
a. H0: _______
b. Ha: _______
c. In words, clearly state what your random variable X represents. 1 − X 2
d. State the distribution to use for the test.
e. What is the test statistic?
f. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences
Alpha: _______
b. Decision: _______
c. Reason for decision: _______
d. Conclusion: _______
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