A political candidate testing the effectiveness of a new advertisement takes a simple random sample of 300 voters before the ad goes on air and another sample of 250 voters afterwards. 158 of the 300 voters in the "before" sample say they support his candidacy, and 140 voters in the “after" sample say they support him. If p,= proportion approving his candidacy in the after sample and p,= proportion approving his candidacy in the before sample, which of the following is the correct test statistic for H : p,– P3 = 0 ? 0.56 - 0.527 0.56-0.527 (a) z =- (b) z = - |0.56-0.44 0.527 ·0.473 (0.542)(0.458) 250* 300) 1 1 250 300 0.56 – 0.527 0.56– 0.527 (c) z = (d) z = |0.542 ·0.458 |0.56-0.44 |0.527-0.473 550 250 300 0.56 -0.527 (e) z=- |0.56, 0.527 250 300

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A political candidate testing the effectiveness of a new advertisement takes a simple random sample of 300 voters
before the ad goes on air and another sample of 250 voters afterwards. 158 of the 300 voters in the "before" sample
say they support his candidacy, and 140 voters in the "after" sample say they support him. If p,= proportion
approving his candidacy in the after sample and P,= proportion approving his candidacy in the before sample, which
of the following is the correct test statistic for H, : P. - P3 = 0?
0.56 – 0.527
0.56– 0.527
(a) z =
(b) z =
0.56-0.44
0.527 ·0.473
1
(0.542)(0.458)
250
1
250
300
300
0.56 – 0.527
0.56 – 0.527
(c) z =
(d) z =
|0.542 ·0.458
|0.56-0.44
0.527-0.473
550
250
300
0.56 – 0.527
(e) z =
|0.56 , 0.527
+
250
300
Transcribed Image Text:A political candidate testing the effectiveness of a new advertisement takes a simple random sample of 300 voters before the ad goes on air and another sample of 250 voters afterwards. 158 of the 300 voters in the "before" sample say they support his candidacy, and 140 voters in the "after" sample say they support him. If p,= proportion approving his candidacy in the after sample and P,= proportion approving his candidacy in the before sample, which of the following is the correct test statistic for H, : P. - P3 = 0? 0.56 – 0.527 0.56– 0.527 (a) z = (b) z = 0.56-0.44 0.527 ·0.473 1 (0.542)(0.458) 250 1 250 300 300 0.56 – 0.527 0.56 – 0.527 (c) z = (d) z = |0.542 ·0.458 |0.56-0.44 0.527-0.473 550 250 300 0.56 – 0.527 (e) z = |0.56 , 0.527 + 250 300
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