Question
In: Statistics and Probability
4. The university is interested in determining if the proportion of graduates obtaining a first-class degree...
4. The university is interested in determining if the proportion of graduates obtaining a first-class degree has changed from 2016 to 2017. Out of 2800 graduates in 2016, 560 obtained a first class degree. In 2017, 805 graduates out of 3500 obtained a first class degree.
-
(a) Write down the method of moments estimates for the proportion of first-class degrees
in 2016 and 2017, pˆ2016 and pˆ2017. -
(b) Write down appropriate null and alternative hypotheses for this test.
-
(c) What assumptions are required to conduct your hypothesis test from (b), does this data satisfy them?
-
(d) Calculate a 90% confidence interval for the difference in the proportion of first-class degrees awarded.
-
(e) Using your answer to part (d), or otherwise, test your hypothesis from (b) at the 10% level. You should clearly state the conclusion of your test.
Solutions
orchestra answered 1 year agoRelated Solutions
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