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3 years ago

Will give brainliest to whoever can explain this.

1 answer:

3 0

So plug in the given values and you get/
81.5=16.3(theta)
and then divide both sides by 16.3
You'll get 5=Theta, so the answer is C

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When the sample size and the sample proportion remain the same, a 90 percent confidence interval for a population proportion p w

deff fn [24]

Answer:

A 90% confidence interval for p will be narrower than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - α) % confidence interval for a population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Here $\hat p$ is the sample proportion.

The margin of error of the confidence interval is:

$MOE= z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The MOE is dependent on:

Confidence level
Standard deviation
Sample size

The MOE is directly related to the confidence level and standard deviation.

So if any of the two increases then the MOE also increases, thus widening the confidence interval.

And the MOE is inversely related to the sample size.

So if the sample increases the MOE decreases and vice versa.

It is provided that the sample size and the sample proportion are not altered.

The critical value of z for 90% confidence level is:

$z_{\alpha/2}= z_{0.10/2}=z_{0.05}=1.645$

And the critical value of z for 99% confidence level is:

$z_{\alpha/2}= z_{0.05/2}=z_{0.05}=1.96$

So as the confidence level increases the critical value increases.

Thus, a 90% confidence interval for p will be narrower than the 99% confidence interval.

6 0

2 years ago

594 7/25 +89 37/100=

bonufazy [111]

Hey there!☺

$Answer:\boxed{683\frac{13}{20}}$

$Explanation:$

$594\frac{7}{25}+89\frac{37}{100}$

To solve, we will need to evaluate:

$594\frac{7}{25}+89\frac{37}{100}=\frac{13673}{20}$

We're not done yet because we need to simplify 13673/20:

$\frac{13673}{20}=683\frac{13}{20}$

Hope this helps!☺

5 0

2 years ago

Read 2 more answers

What is the solution to this equation? 9x - 4(x - 2) = x + 20

ioda

9x - 4(x - 2) =x + 20

We move all terms to the left:

9x -4(x - 2) - (x + 20) = 0

Multiply

9x - 4x -(x + 20) + 8 = 0

We get rid of the parentheses.

9x - 4x - x - 20 + 8 = 0

We add all the numbers and all the variables.

4x - 12 = 0

We move all terms containing x to the left hand side, all other terms to the right hand side

4x=12
x = 12/4
x = 3

7 0

1 year ago

Adam drafts a tractor on a scale drawing. The drawing scale is 2 inches for each foot. If the drawing is 29 inches long, how lon

hammer [34]

Answer:

58 feet

Step-by-step explanation:

2 inches per foot

29 inches = ? feet

29 x 2

=58

3 0

3 years ago

Read 2 more answers

Write an equation in slope intercept form that goes through (-1,6) and (3,-2)

pochemuha

<h2>Answer:</h2>

First, we need to use slope formula* to find the slope.

$m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2$

Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.

Here is what we have so far:

$m = -2$

I'm going to use this point:

$x = 3$

$y = -2$

Here is how to find b:

$-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b$

Finally, we put all of it together and we have our equation.

$y = -2x + b$

*Slope formula: m = y₂ - y₁/x₂ - x₁

**Slope-intercept form: y = mx + b

5 0

2 years ago