hw.prop.CI.Hypo.pVal.STS.KEY

hw.prop.CI.Hypo.pVal.STS.KEY - hw.prop.CI.Hypo.pVal.STS.KEY...

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hw.prop.CI.Hypo.pVal.STS.KEY.doc PROP: Hypo&CI&p-Value&STS KEY 09/20/11 Place on each page: [1] Your CLASS ID at the top right and your course (like “385”), then your name. Hand in BEFORE YOU SIT DOWN - EVEN IF I'M LECTURING . After you sit down or after class it will not count. If more than one page, they must be stapled for credit. No credit if torn edges. USE ONLY NON-OVERLAPPING ARROWS - not shading GOOD : The 2 arrows on the left side show non-overlapping arrows BAD : The 2 arrows on the right side show overlapping arrows: GOOD BAD Since skipping the first 2 , begin numbering your answers with #3 1. If you were using the t distribution (and the t table) for a 99% confidence interval with sample size of 25 (so df = 24), what is the t value that you would use for the CI? KEY: 2.797 for 24 df and 0.005 in one tail 2. If you were using the t distribution (and the t table) for a 50% confidence interval with sample size of 25 (so df = 24), what is the t value that you would use for the CI? KEY: 0.685 3. Explain how one would construct Sampling distribution of p ^ . KEY: take all samples of size n and for each X in the sample ask a yes/no question. The sample p ^ for each sample is [sum of yes/total number in sample]. Collect all the possible p ^ values and put them into their own distribution, called the sampling distribution of p ^ 4 Assuming we are allowed to use the Normal distribution, fill this out, for the THEORETICAL values (symbols): p ^ ~ N(_______, _________) KEY: p ^ ~N(p, p(1 - p) n

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