Divide. Write your answer using the smallest numbers possible.

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.

$\pi = 0.55$

So

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

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

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

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

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

$n = 1025.7$

Rounding up

n = 1026.

6 0

2 years ago

last week you sold 30,45,50,75 and 80 units each day of the week in that order . On average how many units did you sell per day?

Butoxors [25]

Answer:

56 units

Step-by-step explanation:

add all numbers then divide by 5

30+45+50+75+80 = 280

280/5 = 56

4 0

2 years ago

Classify each event as simple or compound

Dmitry [639]

Answer:

1. Compound

2. Simple

3. Simple

4. Compound

Step-by-step explanation:

The way I differentiated these was based on the quantitivity of each scenario. I related it to compound and simple sentences. For example, when one act was committed, it was clearly singular & simple. But if there was two actions consecutively, I'd consider that compound.

4 0

2 years ago

Read 2 more answers

The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this fun

Sever21 [200]

Answer:

The answer is A

Step-by-step explanation:

1 to the second power is 1 + 1 = 2

2 to the second power is 4 + 1 = 5

3 to the second power is 9 + 1 = 10

4 to the second power is 16 + 1 = 17

5 to the second power is 25 + 1 = 26

7 0

2 years ago

Perron years is 24 ounces of milk in a recipe how many cups in 24 ounces

Anon25 [30]

Answer:

3 cups

Step-by-step explanation:

1 cup is 8 ounces

5 0

2 years ago