STT 212 Chapter Notes - Chapter 8, 9: Simple Random Sample, Confidence Interval, Chi-Squared Distribution
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The proportion of americans who support donald trump: take n and compute phat. Hypothesis testing for case c (1 and extended: a range of plausible values for p, phat +/- me (me margin of error) Sample size calculation when nphat 10 and n(1-phat) : find z* in the table. Z* does not depend on degrees of freedom. Only on c: (cid:1842) (cid:3028)(cid:3047) ~ (cid:1840)(cid:4666)(cid:1868), (cid:4666)(cid:2869) (cid:4667)(cid:3041) (cid:4667, (cid:1839)(cid:1831)=(cid:1852) (cid:3295) (cid:4666)(cid:2869) (cid:3295) (cid:4667) (cid:3041, a confidence interval for p = phat + (cid:1852) (cid:3295) (cid:4666)(cid:2869) (cid:3295) (cid:4667) (cid:3041, (cid:1866)=(cid:1868)(cid:4666)(cid:883) (cid:1868)(cid:4667)(cid:4666) (cid:3006)(cid:4667)(cid:2870) use prior estimate for p or us p = . 5. Sampling distribution of = ~ (cid:1840)(cid:4666), (cid:3041)) if n 30 or if n<30, but population is normal. Regular use when only one category: indexed by degrees of freedom (df) which is just n-1, step 5: compute the p-value using the normal table (cid:1868) (cid:1868)(cid:2868)