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, 51 meet the specification for puncture resistance. a) Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. b) Find a 90% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places. c) Find the sample size needed for a 95% confidence interval to specify the proportion to within ±0.06. Round up the answer to the nearest integer.
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, 51 meet the specification for puncture resistance.
a) Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places.
b) Find a 90% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places.
c) Find the
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