Question
Background Information: The university want to deliver at least 25% of degrees as first class deg...
Background Information: The university want to deliver at least 25% of degrees as first class degrees. The lecturer decides to consider the proportion of first class marks in the new cohort and test whether the true proportion is lower than the university expects. He notes that 0.154 proportion of 130 students in the new cohort achieve a first class mark.
Question: Calculate the method of moments estimator for the parameter of this distribution.
Please give as much detail as possible, thanks in advance.
Answers
Test claim is true proportion is lower than the university experts i.e P 0.25 Test hypothesis Ho:p 0.25 a p< 0.25 (claim) Given sample size n=130 . Sample proportion ê = 0.154 Test statistic z- p-p -P)i 0.154-0.25 0.25(1-0.25)/130 =-2.53 P-value-P(z<-2.53)-0.0057 Assumed level of significance α 0.05 Since p-value <0.05 hence reject the null hypothesis Yes the true proportion is lower than the university experts
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