question archive A quality inspector draws a simple random sample of 40 bolts from a large shipment and measures the length of each
A quality inspector draws a simple random sample of 40 bolts from a large shipment and measures the length of each
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A quality inspector draws a simple random sample of 40 bolts from a large shipment and measures the length of each. He finds that 34 of them, or 85%, meet a length specification. He concludes that exactly 85% of the bolts in the shipment meet the specification. The inspector's supervisor concludes that the proportion of good bolts is likely to be close to, but not exactly equal to, 85%. Which conclusion is appropriate
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conclusion : the proportion of good bolts is likely to be close to, but not exactly equal to, 85%
Step-by-step explanation
H0 : P = 0.85
Ha : P ???=? 0.85
sample proportion 'p' = 34 / 40 = 0.85
In this context sample proportion is same as population proportion but other samples may vary with small differences
so
conclusion : the proportion of good bolts is likely to be close to, but not exactly equal to, 85%
