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emmasim [6.3K]
3 years ago
13

I need this I really really do

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

but i cant see the question

Step-by-step explanation:

if not i would have helped

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There are 169 million registered voters in the us. determine an interval for the number (how many) of registered democrats in th
VashaNatasha [74]
Part A:

Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span>\hat{p}= \frac{204}{400} =0.51

</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

95\%\ C.I.=\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\  \\ =0.51\pm1.96\sqrt{\frac{0.51(1-0.51)}{400}}=0.51\pm1.96\sqrt{\frac{0.2499}{400}} \\  \\ =0.51\pm1.96(0.025)=0.51\pm0.049=(0.51-0.049,\ 0.51+0.049) \\  \\ =\bold{(0.461,\ 0.559)}



Part B:

Given that t<span>here are 169 million registered voters in the US, the interval for the number of registered democrats in the population is given by

[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
</span>
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