n a study of the accuracy of fast

Answered question

2022-04-29

n a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders observed (based on data from QSR magazine). Construct a 95% confidence interval for the proportion of orders that are not accurate.

Answer & Explanation

star233

star233

Skilled2022-07-01Added 403 answers

The sample proportion here is computed as:
p = x/n = 33/362 = 0.0912

From standard normal tables, we have:
P(-1.96 < Z < 1.96) = 0.95

Therefore the confidence interval here is obtained as:

p±z×p(1-p)n

0.0912±1.96×0.0912(1-0.0912)362

0.0912±0.0297

(0.0615, 0.1209)

This is the required 95% confidence interval for the proportion of inaccurate orders.

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