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stellarik [79]
3 years ago
14

Several years​ ago, 39​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r

eceive. A recent poll asked 1,045 parents who have children in grades​ K-12 if they were satisfied with the quality of education the students receive. Of the 1,045 ​surveyed, 471 indicated that they were satisfied. Construct a 99​% confidence interval to assess whether this represents evidence that​ parents' attitudes toward the quality of education have changed.
Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.

Step-by-step explanation:

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A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
What is the sum of three consecutive even numbers is 30?
kykrilka [37]
8, 10, 12

A helpful equation:
x+x+1+x+2 = 30

Combine like terms
3x + 3 = 30

Subtract 3 from each side
3x = 27

Divide each side by to isolate x
x = 9

x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.

The first number is 8. The best two even numbers after 8 are 10 and 12.

8 + 10 + 12 = 30, thus this is the sequence.
5 0
2 years ago
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Plss help i beg you!​
frosja888 [35]

Answer:

  • 51

Step-by-step explanation:

<u>Given expression:</u>

  • 3(x + y) +2x² + (1 + y)²

<u>Find its value when x = 4 and y = 1, substitute:</u>

  • 3(4 + 1) + 2*4² + (1 + 1)² =
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2 years ago
Which is a true statement about 10 days of production?
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The answer to this question is C
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3 years ago
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Estimate each quotient. show your work. 165÷4​
Serggg [28]

Answer: 41 1/4

Step-by-step explanation: 160/4=40

5/4= 1 1/4

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3 years ago
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