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ArbitrLikvidat [17]
3 years ago
9

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

population proportion, so we assume p=.5. You would like to be 99% confident that you estimate is within 0.2% of the true population proportion. How large of a sample size is required?
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0

Answer:

416025

Step-by-step explanation:

For confidence interval of 99%, the range is (0.005, 0.995). Using a z-table, the z-score for 0.995 is 2.58.

Margin of error = 0.2% = 0.002.

Proportion is unknown. So, worse case proportion is 50%. p = 50% = 0.5.

\\ n = \left(\frac{\texttt{z-score}}{\texttt{margin of error}} \right )^2\cdot p\cdot (1-p) \\ = \left(\frac{2.58}{0.002} \right )^2\cdot 0.5\cdot (1-0.5)=416025

So, sample size required is 416025.

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4. Lin runs 4 laps around a track in 9 minutes at a constant speed.
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Answer:

Number of minutes per lap = 2.25 minute

Number of lap per minute = 0.444 lap (Approx)

Time taken for 15 lap = 33.75 minutes

Step-by-step explanation:

Given:

Number of laps = 4

Time taken = 9 min

Computation:

Number of minutes per lap = 9 / 4

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Number of lap per minute = 4 / 9

Number of lap per minute = 0.444 lap (Approx)

Time taken for 15 lap = 15 x 2.25

Time taken for 15 lap = 33.75 minutes

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What is 2 to the first power?
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2 years ago
1. Latoya baked b cookies, her family ate 13 of them. Using b write an expression for the number of cookies that remained :)
fiasKO [112]

Answer:

b-13

Step-by-step explanation:

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5 0
2 years ago
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Amanda, Rafael, and Michael served a total of 92 orders Monday at the school cafeteria. Rafael served 2 times as many orders as
Schach [20]

The number of orders Michael, Rafael and Amanda served are 16.8, 33.6, and 41.6 servings

respectively.

<h3>Equation</h3>

  • Michael = x
  • Rafael = 2x
  • Amanda = 2x + 8
  • Total servings = 92 orders

x + 2x + (2x + 8) = 92

3x + 2x + 8 = 92

5x = 92 - 8

5x = 84

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x = 16.8 servings

Therefore,

Michael = x

= 16.8 servings

Rafael = 2x

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= 33.6 servings

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brainly.com/question/4344214

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