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REY [17]
3 years ago
14

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

In a random sample of 502 judges, it was found that 283 were introverts. (a) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.)
Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer:

The point estimate for p is 0.5637.

Step-by-step explanation:

Point estimate for the proportion of all judges who are introverts.

We have a big sample.

So the proportion of the sample proportion of introverted judges can be used as the estimation of the population proportion.

In the sample:

502 judges

283 introverts.

So

p = 283/502 = 0.5637

The point estimate for p is 0.5637.

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​Combined, there are ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Afric
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There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

 

  • A.S + A.F + E.U + A.M = 177
  • A.S = A.F + E.U + 69
  • E.U - A.M = 13
  • E.U = A.M + 13
  • 2A.F = E.U + A.M + 29
  • A.F + E.U + 69 + A.F + E.U + A.M = 177
  • A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177
  • 2A.F + 3A.M = 177 - 13 - 13 - 69
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  • A.S = 177 - 25 - 21 - 8 = 123

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

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