A June 2015 Gallup Poll asked a SRS of 340 Democrats if they trusted their docto

Question

A June 2015 Gallup Poll asked a SRS of 340 Democrats if they trusted their doctor's opinion about healthcare reform and 204 replied yes. Of a SRS of 306 Republicans, 208 replied yes. s this evidence that the proportion of Democrats and Republicans who trust their doctor's opinion about healthcare reform differs? (a) Fill in the missing values in the chart below: (b) State the null and alternative hypotheses. (c) Find the value of the z test statistic. (d) Find the P-value. (e) Do you reject or not reject the null hypothesis? Give the significance level alpha and give a summary statement regarding the proportion of Democrats and Republicans who trust their doctor's opinion on healthcare reform. Make sure to write your sentence so anyone who reads it will understand your conclusion.

Explanation / Answer

a]

Democrats n1 = 340 , x1 = 204

p1 = x1/ n1 = 204 / 340

p1 = 0.6

Republicans n2 = 306 , x2 = 208

p2= x2/ n2 = 206 / 306

p2 = 0.6732

b]

null and alternatives hypothesis,

H0 : Democrats and Republicans who trust their doctors opinion about healthcare reform differs

H1 : Democrats and Republicans who do not trust their doctors opinion about healthcare reform differs

c]

Z statistics = Z 0.05/2 = Z 0.025 = 1.96

d]

pvalue = 0.0561

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