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Marat540 [252]
3 years ago
5

A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to c

ampus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available
Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

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Ilia_Sergeevich [38]
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7 0
4 years ago
Bivariate Data problem. Image attached. <br><br> A. 5.967<br> B. 6.671<br> C. 9.352<br> D. 9.338
Fed [463]

Answer:

A

Step-by-step explanation:

s_x  is the standard deviation of x.

The standard deviation is gotten by:

1. find the average of x-values (add up all the values and divide by number of numbers, which is 5)

2. subtract the average, x bar, from each of the values, square it,  and add up the difference

3. Divide that final answer by n, which is 5

4. Take the square root of the answer

<em>Now, let's find the average (x bar):</em>

<em>x bar = \frac{2+6+9+14+19}{5}=10</em>

<em />

<em>Doing steps 2 & 3 together:</em>

<em>\frac{(2-10)^2+(6-10)^2+(9-10)^2+(14-10)^2+(19-10)^2}{5}\\=35.6</em>

<em />

<em>Doing step 4:</em>

<em>\sqrt{35.6} =5.967</em>

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Correct answer is A

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7 0
4 years ago
PLS HELP ME, I NEED TO ANSWER THIS IN 15 MINUTES!!!
malfutka [58]
Amy:
8 + 5 + 6 + 11 + 4 + 6 +8 = 48
48 divide by 7 = 6.85

chelsea:
7 + 9 + 5 + 3 + 10 + 5 + 8 = 47
47 divide by 7 = 6.71

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4 0
4 years ago
Read 2 more answers
Find angle E if angle E and angle F are supplementary, angle E= 2x + 15 and angle F= 5x - 38
miss Akunina [59]

Answer:

Angle E = 73 degrees

Step-by-step explanation:

Supplementary means it equals 180 degrees.

So to find x, you add the 2 equations.

2x + 15 + 5x - 38 = 180

which equals 7x + (-23) = 180 = 7x - 23 = 180

7x = 203  You move the -23 to the other side

203/7 = 29  So x = 29 degrees

So to find angle E, you put in 29 degrees for x.

2 x 29 + 15 = 73 degrees

7 0
3 years ago
-8-6(1+7a)=32+4a
Sophie [7]

Answer:

b

Step-by-step explanation:

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