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milkshakegrande101
19.11.2019 •
Mathematics
An exit poll of 1000 randomly selected voters found that 515 favored measure a. a. construct a 99% confidence interval for the support of measure a. b. suppose measure a needs at least 50% support to pass, what are the null and alternative hypotheses if we were to test to see if measure a will pass? c. compute the p-value of the above test.
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Ответ:
Step-by-step explanation:
Given that an exit poll of 1000 randomly selected voters found that 515 favored measure A.
Sample proportion p =![\frac{515}{1000} =0.515](/tpl/images/0381/0720/df7da.png)
Margin of error 99% = 2.58*SE
=![2.58*0.0158\\=0.0408](/tpl/images/0381/0720/a64f5.png)
99% confidence interval =![(0.515-0.0408, 0.515+0.0408)\\= (0.474, 0.556)](/tpl/images/0381/0720/21f40.png)
------------------------
(Right tailed test)
STd error =![\sqrt{\frac{0.5*0.5}{1000} } \\=0.0158](/tpl/images/0381/0720/0907e.png)
Test statistic Z = p diff/std error =![\frac{0.015}{0.0158} \\\\=0.9487](/tpl/images/0381/0720/cae33.png)
p value = 0.1714
Ответ: