A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 70 cans, 59 meet the specification for puncture resistance. (a) Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. (b) How to interpret the confidence interval in part (a)? (c) Find the sample size needed for a 90% confidence interval to specify the proportion to within ±0.06.
A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 70 cans, 59 meet the specification for puncture resistance. (a) Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. (b) How to interpret the confidence interval in part (a)? (c) Find the
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