A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time. a. Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service. b. The manager of the Postal Services claims that 98% of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time.

a. Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service.

b. The manager of the Postal Services claims that 98% of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98%.

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