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10.02.2021 •
Mathematics
Solve the following inequalities
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solve inequality question a
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Ответ:
Let p represents the population proportion.
By considering the given information, we have
∵ the alternative hypothesis is two tailed , so the test is two-tailed test.
Given : For sample size :n= 130,![\hat{p}=0.23](/tpl/images/0305/9990/f533e.png)
Test statistic:![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](/tpl/images/0305/9990/6ee10.png)
P-value (two -tailed test)=![2P(z|-1.51|)=0.1310434\approx 0.131](/tpl/images/0305/9990/7133e.png)
Since , the p-value (0.131) is greater than the significance level (0.03), so we accept the null hypothesis.
Thus , we conclude that we have sufficient evidence to support the null hypothesis that the true population proportion of Maryland students who have smoked marijuana is 29% .