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A random sample of 500 pipe -apple were taken large consignment and 65 were found to be bad. Estimates the proportion of bad pipe- apples consignment, as well as the standard error of the estimate deduse the percentage of bad pipe- apples in the consignment almost certainly lies between 8.5 and 17.5 .?
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A random sample of 500 pipe -apple were taken large consignment and 65...
Sample of Pipe-Apples



  • Random sample of 500 pipe-apples were taken from a large consignment

  • 65 pipe-apples in the sample were found to be bad



Estimation of Proportion of Bad Pipe-Apples



  • The proportion of bad pipe-apples in the sample is calculated as 65/500 = 0.13

  • This proportion can be used to estimate the proportion of bad pipe-apples in the entire consignment

  • Thus, the estimated proportion of bad pipe-apples in the consignment is 0.13 or 13%



Standard Error of the Estimate



  • The standard error of the estimate is a measure of the variability of the sample estimate

  • It is calculated as the square root of (sample proportion x (1 - sample proportion) / sample size)

  • For this sample, the standard error of the estimate is sqrt(0.13 x (1 - 0.13) / 500) = 0.022



Confidence Interval



  • A confidence interval is a range of values within which the true population parameter is expected to lie

  • The confidence interval is calculated as the sample estimate plus or minus a margin of error

  • The margin of error is calculated as the product of the standard error of the estimate and the appropriate critical value based on the desired level of confidence

  • Assuming a 95% confidence level, the critical value is 1.96

  • Thus, the margin of error is 1.96 x 0.022 = 0.043

  • The confidence interval for the proportion of bad pipe-apples in the consignment is therefore 0.13 +/- 0.043, or 0.087 to 0.173

  • This means that we can be 95% confident that the true proportion of bad pipe-apples in the consignment lies between 8.7% and 17.3%

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A random sample of 500 pipe -apple were taken large consignment and 65 were found to be bad. Estimates the proportion of bad pipe- apples consignment, as well as the standard error of the estimate deduse the percentage of bad pipe- apples in the consignment almost certainly lies between 8.5 and 17.5 .?
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A random sample of 500 pipe -apple were taken large consignment and 65 were found to be bad. Estimates the proportion of bad pipe- apples consignment, as well as the standard error of the estimate deduse the percentage of bad pipe- apples in the consignment almost certainly lies between 8.5 and 17.5 .? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about A random sample of 500 pipe -apple were taken large consignment and 65 were found to be bad. Estimates the proportion of bad pipe- apples consignment, as well as the standard error of the estimate deduse the percentage of bad pipe- apples in the consignment almost certainly lies between 8.5 and 17.5 .? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A random sample of 500 pipe -apple were taken large consignment and 65 were found to be bad. Estimates the proportion of bad pipe- apples consignment, as well as the standard error of the estimate deduse the percentage of bad pipe- apples in the consignment almost certainly lies between 8.5 and 17.5 .?.
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