Problem 1 _a. A toy manufacturer received a shipment of wheels from two suppliers

| August 30, 2017

Question
Problem 1
a. A toy manufacturer received a shipment of wheels from two suppliers. Random
inspection of 100 wheels from one supplier revealed 6 defectives. Random inspection of
100 wheels from the second supplier revealed 11 defectives. Statistically test whether the
proportion of defectives is different between the two suppliers at ? = 0.05? Include all 5
steps.
b. Calculate a 95% confidence interval to estimate the true difference in proportions
between the two supplies. Interpret the confidence interval.
c. Based on your conclusion, state the type of error that you may have made and explain
what this would mean in the context of the problem.

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