An inspector inspects large truckloads of potatoes to determine the proportion p

Question

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. Unless there is clear evidence that this proportion is less than 0.10, she will reject the shipment. To reach a decision she will test the hypotheses: Ho: p =0.10, Ha: p<0.10 . To do so, she selects an SRS of 50 potatoes from the over 2000 potatoes on the truck. Suppose that only two of the potatoes sampled are found to have major defects.

A. Name the inference method needed:
One-Sample t-distribution
One-Proportion Z-dist
Two-Sample t-dist
Two-Proportion Z-dist

B. List the conditions required for this procedure and explain whether each condition has been meet

C. Determine if it is appropriate to perform the significance test or confidence interval.

Explanation / Answer

A. One-sample Z-dist.

B. 1)sample should be SRS.

2)sample must be less than 10% of the population.

3)sample must be large enough so that, np>10 and np(1-p)>10.

In our case, all the conditions are satisfied.

C. Since all the conditions are satisfied, it is appropriate to perform the significance test or confidence interval.

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