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2 years ago

Help please

Mathematics

1 answer:

Zina [86]2 years ago

6 0

Answer:

0.04

Step-by-step explanation:

2(people who said yes) / 50(total amount) =0.04

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In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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 $1 - \frac{\alpha}{2}$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

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 $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use $\pi = 0.5$ , which is when we are going to need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago

Can someone please help me I’m stuck

olga_2 [115]

Answer:

Step-by-step explanation:

You have to do base x height divided by 2

50/2

8 0

3 years ago

Which number is 300% of the difference between 23 and 27?

Nata [24]

Your answer is 12

The difference 27 – 23 = 4, and 300% of 4 is 3 times 4, or 12.

7 0

3 years ago

Solve the Following Inequality Select the possible range of solution to make the Statement True.

Bas_tet [7]

Answer:

4, 5, 6

Step-by-step explanation:

- 6m < -24

-m < -4

m > 4

m has to be greater than 4

6 0

3 years ago

I need help with these two

Strike441 [17]

#1
5x + 10 + 13x -10 = 180
18x = 180
x = 180/18
x =10

answer: value of x = 10

#2
21x +5 +37x +1 = 180
58x + 6 = 180
58x = 180 -6
58x = 174
x = 174/58
x = 3

so 37x + 1
= 37(3) + 1
=111 + 1
=112
answer: measure of the highlight angel = 112

5 0

3 years ago