A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time. b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. He wants to test at the 1% significance level to determine whether the true proportion is less than 98 percent. i. Give the null and alternative hypothesis of this test. ii. Determine the critical value(s) of this test. iii. Compute the value of the test statistic. iv. State the decision rule. v. Give your decision based on the available sample evidence. vi. Hence, state your conclusion.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
b) The manager of the Postal Services claims that 98 percent of their mail are delivered on
time. He wants to test at the 1% significance level to determine whether the true proportion
is less than 98 percent.
i. Give the null and alternative hypothesis of this test.
ii. Determine the critical value(s) of this test.
iii. Compute the value of the test statistic.
iv. State the decision rule.
v. Give your decision based on the available sample evidence.
vi. Hence, state your conclusion.
Transcribed Image Text:A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time. b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. He wants to test at the 1% significance level to determine whether the true proportion is less than 98 percent. i. Give the null and alternative hypothesis of this test. ii. Determine the critical value(s) of this test. iii. Compute the value of the test statistic. iv. State the decision rule. v. Give your decision based on the available sample evidence. vi. Hence, state your conclusion.
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