in a study of the accuracy of fast food drive-through orders, Restaurant A had 3

Question

in a study of the accuracy of fast food drive-through orders, Restaurant A had 321 accurate in a study of the accuracy of fast food drive-through orders, Restaurant A had 321 accurate in a study of the accuracy of fast food drive-through orders, Restaurant A had 321 accurate In a study of the accuracy of fast food drive-through orders, Restaurant A had 321 accurate orders and 70 that were not accurate. a. Construct a 95% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the resultsfrom part (a) to this 95% confidence interval for the percentage of orders that are not accurate at Restaurant B 0 159

Explanation / Answer

A) Proportion of not accurate (p) = 70/391 = 0.179

At 95% confidence interval the critical value is 1.96

Confidence interval is

p +/- z* * sqrt (p * (1 - p)/n )

= 0.179 +/- 1.96 * sqrt (0.179 * 0.821/391)

= 0.179 +/- 0.038

= 0.141, 0.217

B) 0.159 < P < 0.237 interval is more wider than 0.141 < P < 0.217 interval

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