An Inspector Inspects Large Truckloads of Potatoes to Determine the Proportion

question 10

Multiple Choice

An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips.If there is clear evidence that this proportion is less than 0.10,she will accept the shipment.To reach a decision,she will test the hypotheses H₀: p = 0.10 versus H_a: p < 0.10.To do so,she selects a simple random sample of 150 potatoes from the more than 3000 potatoes on the truck.Only 8 of the potatoes sampled are found to have major defects.Compute the value of the large-sample z statistic and the P-value for this hypothesis test.At which of the following significance levels are the data statistically significant? There can be more than one correct answer.

• A)  = 0.01
• B)  = 0.025
• C)  = 0.05
• D)  = 0.10

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