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Natalija [7]
2 years ago
11

a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske

d wether the paper should increase its coverage of local news. forty percent of the sample wanted mre local news. WHat is the 99% confidence interval for the proportion of readers who would like more coverage of local news
Mathematics
1 answer:
Arisa [49]2 years ago
7 0

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

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}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1600, \pi = 0.4

99% confidence level

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

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.3685

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 2.575\sqrt{\frac{0.4*0.6}{1600}} = 0.4315

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

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Step-by-step explanation:

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2 years ago
In 2017 State A produced 779 million pounds more apples than State B. Together the two states produced 1945 pounds of apples fin
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Answer: State B = 583 mp ; State A = 1,362 mp

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

State A = produced 779 million pounds more apples than State B.

Together the two states produced 1945 million  pounds.

Using "x" as the  pounds of apples produced by State B.

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State A + State B = 1945

Replacing with the values of both States

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We have found the amount in State B.

State B = 583

Replacing on A..

State A = 779 + X = 779 + 583 = 1,362

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3 years ago
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The sum of Rick's test score and 15is100.What was the Rick's score?
azamat
 
Yes, I can show you how to solve that problem.
Please watch carefully and try to follow me. 
I'll go slowly, and you must stop me if I do
anything that's not clear to you.


You said that                                <u> Rick + 15 = 100</u>
 
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