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melamori03 [73]
3 years ago
14

Neeeeeed help?!?!!!!!!!

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

Step-by-step explanation:

number of minutes I guess

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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
algol13

Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

(c) Yes, on increasing the proportion value the sample size decreased.

Step-by-step explanation:

The confidence interval for population proportion <em>p</em> is:

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

The margin of error in this interval is:

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

The information provided is:

MOE = 0.02

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

(a)

Assume that the proportion value is 0.50.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\n=\frac{1.96^{2}\times0.50(1-0.50)}{0.02^{2}}\\=2401

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.55(1-0.55)}{n}}\\n=\frac{1.96^{2}\times0.55(1-0.55)}{0.02^{2}}\\=2376.99\\\approx2377

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.

8 0
4 years ago
B(1)=16<br> b(n)=b(n-1)+1<br> Find the 2nd term in the sequence
Gnom [1K]

Answer:

17

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

6 0
3 years ago
Please help!!! 40 pts The principal represents an amount of money deposited in a savings account subject to compound interest at
Eva8 [605]
Ok I’m done what can I send it on
5 0
3 years ago
3x + 3y =15 and x = -3y -1
saul85 [17]

Answer:

  (x, y) = (8, -3)

Step-by-step explanation:

You can substitute for x in the first equation:

  3(-3y -1) +3y = 15

  -6y = 18 . . . . . add 3 and simplify

  y = -3 . . . . . . . divide by -6

  x = -3(-3) -1 = 8 . . . . find x using the second equation

The solution to this system of equations is (x, y) = (8, -3).

4 0
3 years ago
Find a recurrence relation for the number of strictly increasing sequences of positive integers that have 1 as their first term
Pepsi [2]

Answer:

S(k)=2^{(k-2)}

Step-by-step explanation:

S(k)=S(1)+S(2)+S(3).........S(k-1)\\where\\S(1)=1\\So\\S(k)=2^{(k-2)}

where k>1 and S(1)=1

4 0
4 years ago
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