Question

A public health official wants to test if the proportion of people who smoke in a particular city is greater than the national average of 0.15. A sample of 400 adults in the city is surveyed, and 80 of them report that they smoke. Which formula should be used to calculate the test statistic? $T = \frac{\hat{p} - p}{s/\sqrt{n}}$ $Z = \frac{\hat{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$ $Z = \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$ $T = \frac{\hat{p} - p}{s/\sqrt{n}}$ $Z = \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$

          A public health official wants to test if the proportion of people who smoke in a particular city
is greater than the national average of 0.15. A sample of 400 adults in the city is surveyed,
and 80 of them report that they smoke. Which formula should be used to calculate the test
statistic?
$T = \frac{\hat{p} - p}{s/\sqrt{n}}$
$Z = \frac{\hat{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$
$Z = \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$
$T = \frac{\hat{p} - p}{s/\sqrt{n}}$
$Z = \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$

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a public health official wants to test if the proportion of people who smoke in a particular city is greater than the national average of 015 a sample of 400 adults in the city is surveyed a 86788

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Shelayah Robinson

02/12/2025

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We are given a sample of 400 adults, and 80 of them smoke. We want to find the appropriate test statistic formula. Show more…

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A public health official wants to test if the proportion of people who smoke in a particular city is greater than the national average of 0.15. A sample of 400 adults in the city is surveyed, and 80 of them report that they smoke. Which formula should be used to calculate the test statistic? $T = \frac{\hat{p} - p}{s/\sqrt{n}}$ $Z = \frac{\hat{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$ $Z = \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$ $T = \frac{\hat{p} - p}{s/\sqrt{n}}$ $Z = \frac{\hat{p} - p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$

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