At a university, newly admitted first-year students can start their degrees at any of its seven campuses. The admissions director for the university is interested in finding out whether first-year students show any specific preference in their choice of campus. She forms a model in which she expects the same number of first-year students will select each campus. The director records the number of first-year students registering at each campus this year to test the model's suitability. The results are shown in the table below. egin{tabular}{|l|c|c|c|c|c|c|c|} hline Campus & A & B & C & D & E & F & G \ hline First-year students & 322 & 287 & 248 & 293 & 274 & 306 & 265 \ hline end{tabular} A goodness of fit test at a 5% significance level is carried out to test the accuracy of her model. (a) State the null and alternative hypotheses. (b) Determine the expected number of registrations at each campus. (c) Write down the number of degrees of freedom for this test. (d) State the conclusion to the test, justifying your answer.
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- Null Hypothesis (\(H_0\)): The first-year students are equally likely to choose any of the seven campuses. This means the number of students at each campus should be the same. - Alternative Hypothesis (\(H_1\)): The first-year students show a preference for Show more…
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