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maks197457 [2]
3 years ago
13

A nurse in a large university (N ? 30,000) is concerned about students' eye health. She takes a random sample of 75 students who

don't wear glasses and finds 27 that need glasses.
A. What's the point estimate of p, the population proportion?
B. Is the situation binomial? Also, can the z-distribution be used to calculate a confidence interval for the proportion of students who need glasses but don't wear them? Explain.
C. What's the critical z-value (z*) for a 90% confidence interval for the population proportion?
D. What's the margin of error for a 90% confidence interval for the population proportion?
E. Calculate the 90% confidence interval for the population proportion.
F. Using your graphing calculator, find a 95% confidence interval for the proportion of students who need to wear glasses but don't. (Show all work, functions, and inputs on your calculator too.
G. The nurse wants to be able to estimate, with a 95% confidence interval and a margin of error of 6%, the proportion of students who need to wear glasses but don't. Find the necessary sample size (n) for this estimate.
H. The following school year, the nurse wants to construct the same 95% confidence interval for the proportion of students who need glasses but don't wear them, but she thinks the proportion has changed since last year. Without using the point estimate of the population proportion from the previous year, find the necessary sample size (n) for a 95% confidence interval for the population proportion with a margin of error (m) of 6%.
Mathematics
1 answer:
irakobra [83]3 years ago
6 0

Answer:

[0.875;0.925]

Step-by-step explanation:

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50 points
mixer [17]

Answer:

c = -13.78.

Step-by-step explanation:

21.2x + c  ≡ 5.3(4x - 2.6)

21.2x + c  ≡ 21.2x - 13.78

Equating constant terms:

c = -13.78.

7 0
2 years ago
Read 2 more answers
Can someone please answer the problem in the picture?
Elenna [48]

Answer:

Rate of change is 6/7      Initial value: 6

Step-by-step explanation:

To find the slope (which is the rate of change), use (y1 - y2)/(x1 - x2).

x1 and y1 will be (0, 6)    

x2 and y2 will be (7, 0)

Note that x1 x2 y1 y2 can be any points on the line, I just chose these because they were x and y-intercepts.

(6 - 0)/(0 - 7)  =  6/7

The initial value is simply the y-intercept, which is 6.

8 0
3 years ago
Your sister is considering two different shapes for her garden. One is a square with side lengths of 3.5 meters and the other is
JulijaS [17]
A)=14 meters because 3.5 times 4 is 14
b)=4 meters because circles don't have any sides
c)=a would give her more space to plant because 14 is bigger than 4
4 0
3 years ago
Read 2 more answers
What is the median and mean amount of sugar? pictures attached
mario62 [17]

Answer:

Step-by-step explanation:

mean is found by adding the numbers and dividing the sum by the number while the median is the middle value of the list ordered in an ascending order

4 0
2 years ago
He buys a suit that was on sale for 25%off. He only paid $125.00. What was the original price? What was the amount of the discou
Citrus2011 [14]

Equation  1):

You want to buy something that costs $166.66, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $166.66 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $166.66, like this:  

0.250 x $166.66 = $41.67.

So for this sale, you'll save $41.67 on this item.

This means, the cost of the item to you is  

$166.66 - $41.67 = $125.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?  

0.750 x $166.66 = $125.00.

Answer =====> Just like the result above, the sale price on the item is $125.00.





Equation 2:)

You want to buy something that costs $125, and it's on sale for 25% off. What is the item's sale price?

First, convert the 25% to a real mathematical number. For percent's, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $125 is. This is the amount of the sale discount. This is always found by multiplying 0.250 by the item's cost $125, like this:  

0.250 x $125 = $31.25.

So for this sale, you'll save $31.25 on this item.

This means, the cost of the item to you is  

$125 - $31.25 = $93.75.  

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $125 = $93.75.

Answer =====> Just like the result above, the sale price on the item is $93.75.




Hope that helps!!!                                                     : )


8 0
3 years ago
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