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3 years ago

Number your answer a and b

Mathematics

1 answer:

Alisiya [41]3 years ago

3 0

A) 24
B) 45
(Hope I could help)

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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

Explain how to determine if the number is a solution to the equation. n + 6 = 33 for n = 27

stepan [7]

If you subtract 6 from 33 youll end up with 27 and therefore 27 plus 6 equals 33

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3 years ago

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An arts academy requires there to be 3 teachers for every 75 students and 4 tutors for every 48 students. How many students does

bija089 [108]

Answer:

A. or B.

Step-by-step explanation:

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3 years ago

How do you solve equations that contain multiplication or division

alexira [117]

Left to right. Whatever comes first (multiplication or division) you do. This is all part of the PEMDAS/Order of operations.

Hopefully I solved your problem! :)

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3 years ago

Pls help me my dads gonna hit me if i dont get this done

Tpy6a [65]

Answer:

(I can't answer if its greater than, less than, or equal to because you didn't

specify the number I have to compare to)

2. $\frac{35}{8}$