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8_murik_8 [283]
2 years ago
15

Suppose that administrators of a large school district wish to estimate the proportion of children in the district enrolling in

kindergarten who attended preschool. They took a simple random sample of children in the district who are enrolling in kindergarten. Out of 60 children sampled, 39 had attended preschool. Construct a large-sample 95% z ‑confidence interval for p , the proportion of all children enrolled in kindergarten who attended preschool. Give the limits of the confidence interval as decimals, precise to at least three decimal places. Construct a plus four 95% z ‑
Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
5 0

Answer:

95% z-confidence interval for the proportion of all children enrolled in kindergarten who attended preschool is between a lower limit of 0.528 and an upper limit of 0.772.

Step-by-step explanation:

Confidence interval = p + or - zsqrt[p(1-p) ÷ n]

p is sample proportion = 39/60 = 0.65

n is the number of children sampled = 60

Confidence level (C) = 95% = 0.95

Significance level = 1 - C = 1 - 0.95 = 0.05

Divide significance level by 2 to obtain critical value (z)

0.05/2 = 0.025 = 2.5%

z at 2.5% significance level = 1.96

zsqrt[p(1-p) ÷ n] = 1.96sqrt[0.65(1-0.65) ÷ 60] = 1.96sqrt[0.2275 ÷ 60] = 1.96sqrt(3.792×10^-3) = 1.96×0.062 = 0.122

Lower limit = p - 0.122 = 0.65 - 0.122 = 0.528

Upper limit = p + 0.122 = 0.65 + 0.122 = 0.772

95% confidence interval is between 0.528 and 0.772

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8 0
3 years ago
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Answer:

c

Step-by-step explanation:

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3 0
2 years ago
Drag each real-world situation to the correct column to show whether it can be modeled by combining additive inverses to get 0.
Flauer [41]

Answer:

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Therefore, the answer is NEITHER.

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Step-by-step explanation:

3 0
2 years ago
8:54 a.m.
dimaraw [331]
Hello,

The two lights flash at the same time every 18 min
at 8:00 h=480 min =480+0*36
at 8:36 h=516 min =480+1*36
...
54 is not divisible by 36
60+12=72 = 2*36 yes
60+24=84 not
120+24=4*36 yes
180+18=198 not

So 2 times are correct 9:12 and 10:24
Answer G


 

5 0
3 years ago
What is 279 ÷34 estimated
Anestetic [448]

279/34 = 8.20588235294

But if you would like to round it up it would be 8.2 or 8.21 depending on what you'd like to round it up to.

Let me know if this is what you mean. If not, I will fix it! :)

3 0
2 years ago
Read 2 more answers
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