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UnusualKc5117
12.12.2020 •
Mathematics
1 and 1/5- 1/3=
please give the right answer
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Ответ:
87/100
Step-by-step explanation:
Ответ:
Answer with explanation:
We are given Sample proportion :![\hat{p}=0.58](/tpl/images/0298/7315/46cb7.png)
And Population proportion : p=0.62
By considering company's claim, we have
Since alternative hypothesis is two-tailed , so the test is two-tailed test.
Test statistic :![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}](/tpl/images/0298/7315/6ee10.png)
i.e.![z=\dfrac{0.58-0.62}{\sqrt{\dfrac{0.62(1-0.62)}{900}}}\approx-2.47](/tpl/images/0298/7315/068b9.png)
P-value (two-tailed test)=![2P(z|-2.47|)=2P(z2.47)](/tpl/images/0298/7315/d4a95.png)
Since, the p-value is greater than the significance level (0.01), so we accept the null hypothesis.
We conclude that we have enough evidence to support company's claim.