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Natalija [7]
3 years ago
12

Will give Brainliest if answer is correct!

Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

a|| b then

<6=<4=<2=146

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Is 3 /47 a terminating or a repeating number
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3 years ago
A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence
EastWind [94]

Answer:

a) 96% CI: 0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

p=\frac{114}{200}=0.57

The standard deviation of the sample proportion is

\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

6 0
3 years ago
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