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If a random sample of 500 Oranges Produces 25 rotten oranges. Than the estimate of the proportion of rotten oranges in the sample is: (a) 0.01 (b) 0.05 (c) 0.028 (d) 0.0593?
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If a random sample of 500 Oranges Produces 25 rotten oranges. Than the...
Estimating Proportion of Rotten Oranges in Sample

Sample Size and Number of Rotten Oranges

In this question, we are given a random sample of 500 oranges and the number of rotten oranges in the sample is 25.

Calculating Estimate of Proportion

To estimate the proportion of rotten oranges in the sample, we divide the number of rotten oranges by the sample size:

Proportion of Rotten Oranges in Sample = Number of Rotten Oranges / Sample Size
Proportion of Rotten Oranges in Sample = 25 / 500
Proportion of Rotten Oranges in Sample = 0.05

Therefore, the estimate of the proportion of rotten oranges in the sample is 0.05 or 5%.

Choosing the Correct Option

From the given options, the closest estimate to our calculated proportion is option (b) 0.05.

Therefore, the correct answer is option (b) 0.05.

Conclusion

To estimate the proportion of a sample, we divide the number of events of interest by the sample size. In this question, we used this formula to estimate the proportion of rotten oranges in the sample and chose the closest option from the given options.
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If a random sample of 500 Oranges Produces 25 rotten oranges. Than the estimate of the proportion of rotten oranges in the sample is: (a) 0.01 (b) 0.05 (c) 0.028 (d) 0.0593?
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If a random sample of 500 Oranges Produces 25 rotten oranges. Than the estimate of the proportion of rotten oranges in the sample is: (a) 0.01 (b) 0.05 (c) 0.028 (d) 0.0593? 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 oranges. Than the estimate of the proportion of rotten oranges in the sample is: (a) 0.01 (b) 0.05 (c) 0.028 (d) 0.0593? 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 oranges. Than the estimate of the proportion of rotten oranges in the sample is: (a) 0.01 (b) 0.05 (c) 0.028 (d) 0.0593?.
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