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mars1129 [50]
3 years ago
11

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

ill be ______________ the 99 percent confidence interval for p.
Mathematics
1 answer:
deff fn [24]2 years ago
6 0

Answer:

A 90% confidence interval for <em>p</em> will be <u>narrower </u>than the 99% confidence interval.

Step-by-step explanation:

The formula to compute the (1 - <em>α</em>) % 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:

  1. Confidence level
  2. Standard deviation
  3. 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 <em>z</em> for 90% confidence level is:

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

And the critical value of <em>z</em> 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 <em>p</em> will be narrower than the 99% confidence interval.

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maxonik [38]

Answer:

12

Step-by-step explanation:

3 0
3 years ago
What is 513 + _ + 130 = 764? what is the missing number and can u pls do a explantation
dmitriy555 [2]

Answer:

121

Step-by-step explanation:

The missing number is 121. I got this by doing 764-130-513=121. You would do this because you are trying to find the number that would allow 130 and 513 to add up to 764.

Another way to look at this problem is 513+130= 643

764-643=121

In conclusion, 513+121+130=764

4 0
3 years ago
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Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c. What is the distance between the origin and
Elenna [48]

Answer:

The equation is:

(1/a)x + (1/b)y + (1/c)z = 1

Step-by-step explanation:

The direction vector between the points (a, 0, 0) and (0, b, 0) is given as:

<0 - a, b - 0, 0 - 0>

<-a, b, 0> .....................(1)

The direction vector between (0, 0, c) and (0, b, 0) is given as:

<0 - 0, b - 0, 0 - c>

= <0, b, -c> .....................(2)

To obtain the direction vector that is normal to the surface of the plane, we take the cross product of (1) and (2).

Doing this, we have:

<-a, b, 0> × <0, b, -c> = <-bc, -ac, -ab>

To find the scalar equation of the plane we can use any of the points that we know. Using (0, b, 0), we have:

(-bc)x + (-ac)y + (-ab)z = (-bc)0 + (-ac)b + (-ab)0

(bc)x + (ac)y + (ab)z = (ac)b

Dividing both sides by abc, we have:

(1/a)x + (1/b)y + (1/c)z = 1

3 0
3 years ago
URGENT! PLEASE ANSWER IF YOU ACTUALLY KNOW THE ANSWER!
Pie

Using translation concepts, the coordinates that will best represent point E′ are given by:

D. (11, 1).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule to find the image of a point (x,y) is given by:

(x, y) → (x + 8, y + 5).

Then, the rule to find the image E' of point E(3,-4) is given by:

(3,4 -> (3 + 8, -4 + 5) = (11,1).

Hence option D is correct.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

3 0
1 year ago
WILL GIVE BRAINLYEST<br><br> find the inequality represented by the graph
Lady_Fox [76]

Answer:

a i think

Step-by-step explanation:

7 0
2 years ago
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