Question

500 apples are taken at random from a large basket and 50 are found to be bad. Estimate the proportion of bad apples in the basket and assign limits within which the percentage most probably lie​

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

Given, Sample size n = 500

Proportion of bad apples P = 45/500 = 0.09

The proportion of good apples Q = 1 – 0.09

= 0.91

The confidence limits for population proportion

are given by,

= (0.09 – (2.58) (0.013), 0.09 + (2.58) (0.013))

= (0.09 – 0.034, 0.09 + 0.034)

= (0.056, 0.124)

Hence, The bad apples lie between 5.6% and 12.4%.

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