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april861
06.08.2019 •
Mathematics
You are testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats. you sample 160 men, and 25% own cats. you sample 120 women, and 20% own cats. find the test statistic, rounded to two decimal places.
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Ответ:
Given:You sample 160 men, and 25% own cats
You sample 120 women, and 20% own cats.
To Find : Find the test statistic, rounded to two decimal places.
Solution:
You sample 160 men, and 25% own cats.
No. of men have cats =![\frac{25}{100} \times 160](/tpl/images/0172/1799/3e6b6.png)
=![40](/tpl/images/0172/1799/258b1.png)
So,![n_1=160 , y_1=40](/tpl/images/0172/1799/fa73a.png)
You sample 120 women, and 20% own cats.
No. of women have cats =![\frac{20}{100} \times 120](/tpl/images/0172/1799/0dd33.png)
=![24](/tpl/images/0172/1799/2154f.png)
So,![n_2=120 , y_2=24](/tpl/images/0172/1799/56d56.png)
We will use Comparing Two Proportions
Let
and
be the probabilities of men having cat and women having cat receptively
Formula of test statistic :![\frac{\widehat{p_1}-\widehat{p_2}}{\sqrt{\widehat{p}(1-\widehat{p})(\frac{1}{n_1}+\frac{1}{n_2})}}](/tpl/images/0172/1799/4f7e5.png)
Substitute the values
test statistic :![\frac{0.25-0.2}{\sqrt{0.228(1-0.228)(\frac{1}{160}+\frac{1}{120})}}](/tpl/images/0172/1799/e368a.png)
test statistic :![0.986](/tpl/images/0172/1799/b5db2.png)
So, test statistic is 0.986
Ответ:
B. return on investment
Step-by-step explanation:
Return on Investment (ROI) is a performance measure used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.