Question

Claim: Fewer than 97​% of adults have a cell phone. In a reputable poll of 1235...

Claim: Fewer than 97​% of adults have a cell phone. In a reputable poll of 1235 adults, 91​% said that they have a cell phone. Find the value of the test statistic.

The value of the test statistic is

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Answer #1

Given :

Number of sample = n = 1235

Sample proportion = {\hat{p}} = 0.91

Hypothesis test :

The null and alternative hypothesis is

Ho : p = 0.97

Ha : p < 0.97

Test statistic :

z = ({\hat{p}} - p)/[√p(1-p)/n]

= (0.91 - 0.97)/[√0.97(1-0.97)/1235]

= -0.06/0.00485

= -12.36

Therefore the value of test statistic is z = -12.36

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