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saw5
21 day ago
5

A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th

at a 99% confidence interval that extends at most 0.05 on each side of the sample proportion is required. how many sample observation are needed?
Mathematics
1 answer:
babunello [8.4K]21 day ago
4 0

Answer:

We have the following details:

Confidence level = 99%. Hence, the critical value at a 0.01 significance level is provided below:

z_{\frac{0.01}{2}}=2.576

The margin of error is mentioned in the question as:

E=0.05

Since we lack information about the previous proportion, we need to assume \hat{p} = 0.5.

Therefore, the required sample size is:

n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)

  =0.5(1-0.5) \left( \frac{2.576}{0.05} \right)

  =0.25 \times 51.52^2

  =663.6 \approx 664

Thus, it requires 664 sample observations.    

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28 days ago
Will works 7 hours a day, 6 days a week.
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For one day:
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1 month ago
A college has an acceptance rate of 17%. If 3,240 students apply, about
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550

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13 days ago
If f(x) = − 5, what is f(8.6)?
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4 days ago
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Two ferries travel across a lake 50 miles wide. One ferry goes 5 miles per hour slower than the other. If the slower ferry leave
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Answer:

Step-by-step explanation:

Let x represent the speed of the first ferry.

Consequently, the second ferry's speed is x-5, as it travels 5 miles per hour slower.

The time taken by the first ferry is calculated as distance divided by speed = \frac{50}{x}

The time taken by the second ferry equals \frac{50}{x-5}.

Since the second ferry departs one hour earlier, the times differ by 1 hour.

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Thus, the speed of the first ferry is determined to be 18.5 mph,

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1 month ago
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