Question

A researcher believes Texans are more likely to vote than Oklahomans. In a survey, 68 of 132 Texans and 55 of 128 Oklahomans voted. Select the correct P-value and conclusion, using the appropriate test, at the 0.10 level of significance.

Group of answer choices

0.0838, Reject H_{0}

0.1676, Do not reject H_{0}

0.5152, Do not reject H_{0}

0.9162, Do not reject H_{0}

Answer #1

Solution :

Ho : p1 = p2

Ha : p1 > p2

x1 = 68 , x2 = 55 , n1 = 132 , n2 = 128

p bar = (x1 + x2)/(n1 + n2) = (68+55)/(132+128)

q bar = 1- p bar

Test Statistic = ( p1^ - p2^)/√((p bar * qbar)/n1 + (p bar * qbar)/n2) = 1.38

p value = P( z > 1.38 ) = 1 - 0.9162 = 0.0838 (Using Table )

Answer :

**0.0838, Reject
H**_{0}

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