aueton 4 A 2010 survey asked 827 randomly sampled registered voters In Califomia

Question

aueton 4 A 2010 survey asked 827 randomly sampled registered voters In Califomia "Do you support or do you oppose dfiling foral and natura ga offhe Not yet answered Points out of 0.50 Coast of California? Or do you not know enough to say?" Below is the distribution of responses, separated based on whether or not the respondent graduated from college College Grad Flag question es Support154 132 180 126 Do not know 104 131 389 Oppose Total 438 Suppose that we wanted to test the hypothesis (Ho Pcolege grod Pnot colinge grad O HA Pcotege ordnot colge aregardihg the proporton of college graduates vs. non-college graduates who support off-shore driling. What are the relevant sample proportions for the hypothesis test? Select one: 0 an =0267, prot college grad 0.339 b.Pcollege grad = 0.463, pnar conegeerad0.324 c.pcollege grad0.267, prot college grad0.337 d, pcollege grad-0.352, pnot college gnad 0.339 e, p college grad = 0.352, poor college grad 0.324 colfege grad O Question 5

Explanation / Answer

Question 4

Relavent sample proportion for

p^college grad = 154/ 438 = 0.352

p^not college grad  = 132/ 389 = 0.339

Option D is correct.

QUestion 5

Here pooled estimate p = (154 + 132)/ (438 + 389) = 0.346

standard error of difference in proportion = sqrt [p (1/n1 + 1/n2) ] = sqrt [0.346 * 0.654 * (1/ 438 + 1/389)] = 0.0331

Test Statistic

Z = (0.352 - 0.339)/ 0.0331 = 0.393

Question 6

P - value = 2 * Pr(Z > 0.393) = 0.6945

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