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3 years ago

7

Can you take the square root of both sides of an inequality

1 answer:

ddd [48]3 years ago

6 0

Hi there!

Since square roots are non-negative, Inequality is only meaningful if both sides are non-negative. Hence, squaring both sides was indeed valid.

Similarly, applying a decreasing function toboth sides of an in- equality will reverse it.

Cheers!

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A major metropolitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers.

Tpy6a [65]

Answer: $(0.36845,\ 0.43155)$

Step-by-step explanation:

Let p be the population proportion of readers who would like more coverage of local news.

As per given , we have

sample size :=1600

sample proportion : $\hat{p}=40\%=0.40$

The confidence interval for population proportion is given by :-

$\hat{p}\pm z^* \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

From z-table ,

For 99% confidence interval the z-value is 2.576.

Substitute all the values in the above formula , we get

The 99% confidence interval for the proportion of readers who would like more coverage of local news as

$0.40\pm(2.576) \sqrt{\dfrac{0.40(1-0.40)}{1600}}$

$0.40\pm(2.576) \sqrt{\dfrac{0.24}{1600}}$

$0.40\pm(2.576) \sqrt{0.00015}$

$0.40\pm(2.576) (0.0122474487139)$

$0.40\pm0.03155$

$(0.40-0.03155,\ 0.40+0.03155)=(0.36845,\ 0.43155)$

Hence, the 99% confidence interval for the proportion of readers who would like more coverage of local news is $(0.36845,\ 0.43155)$ .

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Write a fraction as a decimal

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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