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Katyanochek1 [597]
3 years ago
13

In a school with 2,000 students, 250 are athletes. Of those athletes, 120 lift weights in addition to participating in their pri

mary sport. Thirty-seven athletes lift weights as their primary sport. The newspaper wants to select five athletes at random from the school to interview. What is the population size?
A.) 37
B.) 120
C.) 250
D.) 2,000
Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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Answer: B) [-0.0332,0.1332]

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

p_{1}=\frac{30}{120}=0.25

p_{2}=\frac{32}{160}=0.2

Second, calculate standard deviation for each proportion:

\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395

\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316

Now, we calculate standard error for difference:

SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}

SE=\sqrt{0.0395^{2}+0.0316^{2}}

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

p_{1}-p_{2} ± z-score.SE

0.25-0.2 ± 1.645(0.0505)

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = -0.0332

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [-0.0332,0.1332].

8 0
3 years ago
Please help 10 points for the answer;
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Answer:

y=3x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=3(x-0)

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4 0
3 years ago
Jack earns $50 for washing cars on the weekend. He makes an average of $4.25in tips per hour. Write the function of jack's earni
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F(x) = 4.25x + 50

for 6 hrs....x = 6
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Answer:

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Step-by-step explanation:

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A sample of the students at a middle school is selected by writing the
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