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NNADVOKAT [17]
3 years ago
13

Can someone please help me ASAP

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

y=4-x^2\\x-y=2 \\  \\ y = 4 -  {x}^{2}  \\ x = 2 + y \\  \\ y = 4 -  {(2 + y)}^{2}  \\  {y}^{2}  + 5y = 0 \\ y(y + 5) = 0 \\ y = 0 \\ y =  - 5

x = 2 + 0 = 2

x = 2 + ( - 5) =  -3

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a) The 99% CI for the true proportion of voters who prefer the Republican candidate is (0.3658, 0.6001). This means that we are 99% sure that the true population proportion of all voters who prefer the Republican candidate is (0.3658, 0.6001).

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Step-by-step explanation:

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In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

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n = 120, \pi = \frac{58}{120} = 0.4833

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So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.  

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b. If a candidate needs a simple majority of the votes to win the election, can the Republican candidate be confident of victory? Justify your response with an appropriate statistical argument.

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