Two candidates for governor participated in a televised debate. A political pollster recorded the preferences of 500 registered voters in a random sample before and after the debate: Preference After Debate Preference Total Before Debate Candidate A Candidate B Candidate A 269 21 290 Candidate B 36 174 210 Total 305 195 500 a. At the 0.02 level of significance, is there evidence of a difference in the proportion of voters who favored Candidate A before and after the debate? b. Compute the p-value and interpret its meaning.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Two candidates for governor participated in a televised debate. A political pollster recorded the preferences of 500 registered voters in a
random sample before and after the debate:
Preference After Debate
Preference
Total
Before Debate
Candidate A
Candidate B
Candidate A
269
21
290
Candidate B
36
174
210
Total
305
195
500
а.
At the 0.02 level of significance, is there evidence of a difference in the proportion of voters who favored Candidate A before and after
the debate?
b.
Compute the p-value and interpret its meaning.
Transcribed Image Text:Two candidates for governor participated in a televised debate. A political pollster recorded the preferences of 500 registered voters in a random sample before and after the debate: Preference After Debate Preference Total Before Debate Candidate A Candidate B Candidate A 269 21 290 Candidate B 36 174 210 Total 305 195 500 а. At the 0.02 level of significance, is there evidence of a difference in the proportion of voters who favored Candidate A before and after the debate? b. Compute the p-value and interpret its meaning.
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