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If a random sample of 500 oranges produces 25 rotten arranges, then the estimate of SE of the proportion of rotten arranges in the sample is
  • a)
    0.01
  • b)
    0.05
  • c)
    0.028
  • d)
    0.0593
Correct answer is 'A'. Can you explain this answer?
Verified Answer
If a random sample of 500 oranges produces 25 rotten arranges, then th...
If the sample is drawn at once without batching, this becomes single sample and subsequently  s. e. can't be calculated.
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If a random sample of 500 oranges produces 25 rotten arranges, then th...
Estimating SE of Proportion of Rotten Oranges in the Sample

Given data:
- Sample size (n) = 500
- Number of rotten oranges in the sample (x) = 25

We need to estimate the standard error (SE) of the proportion of rotten oranges in the sample.

Formula for SE of proportion:
SE = sqrt[p*(1-p)/n]
where p = proportion of rotten oranges in the sample = x/n

Calculating the proportion of rotten oranges in the sample:
p = x/n = 25/500 = 0.05

Substituting the values in the formula:
SE = sqrt[0.05*(1-0.05)/500]
SE = sqrt[0.0475/500]
SE = sqrt[0.000095]
SE = 0.00975

Rounding off to two decimal places, we get SE = 0.01

Therefore, the estimate of SE of the proportion of rotten oranges in the sample is 0.01, which is option 'A'.
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If a random sample of 500 oranges produces 25 rotten arranges, then the estimate of SE of the proportion of rotten arranges in the sample isa)0.01b)0.05c)0.028d)0.0593Correct answer is 'A'. Can you explain this answer?
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If a random sample of 500 oranges produces 25 rotten arranges, then the estimate of SE of the proportion of rotten arranges in the sample isa)0.01b)0.05c)0.028d)0.0593Correct answer is 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a random sample of 500 oranges produces 25 rotten arranges, then the estimate of SE of the proportion of rotten arranges in the sample isa)0.01b)0.05c)0.028d)0.0593Correct answer is 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a random sample of 500 oranges produces 25 rotten arranges, then the estimate of SE of the proportion of rotten arranges in the sample isa)0.01b)0.05c)0.028d)0.0593Correct answer is 'A'. Can you explain this answer?.
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