319handout12 - (i) &rst by the rejection rule...

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Econ 319, Fall 2008 TA: Simon Kwok Handout 12 1. I suspect that male graduate students dominated female graduate students in Cornell in Fall 2007. To investigate whether my claim is true, I carry out hypothesis testing at the 5% sig- is the graduate microeconomics class Econ609 that I TAed in Fall 2007. The composition of my class was as follows: males females 30 15 Let be the true proportion of female graduate students in Cornell in Fall 2007, and let ^ be the corresponding sample proportion. (a) Write down the null and the alternative hypotheses in terms of . (b) Carry out hypothesis testing using two approaches:
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Unformatted text preview: (i) &rst by the rejection rule approach; (ii) then by the P-value approach. Discuss whether females were outnumbered by males among the graduate students in Fall 2007. (c) What is , the probability of committing type I error? (d) What is the 95% con&dence interval for & ? Does it contain & = 0 : 5 ? (e) From Facts about Cornell 1 , the true proportion of female graduate/professional students (in Ithaca campus) is 42% in Fall 2007. (i) What is , the probability of committing type II error? (ii) What is the power of the test I carried out in part (b)? 1 http://www.cornell.edu/about/facts/stats.cfm 1...
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