Exhibit 9-6 a Random Sample of 100 People Was Taken. Eighty of Eighty

question 101

Essay

Exhibit 9-6
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
-"D" size batteries produced by MNM Corporation have had a life expectancy of 87 hours. Because of an improved production process, the company believes that there has been an increase in the life expectancy of its "D" size batteries. A sample of 36 batteries showed an average life of 88.5 hours. Assume from past information that it is known that the standard deviation of the population is 9 hours.
a.Use a 0.01 level of significance, and test to determine if there has been an increase in the life expectancy of the "D" size batteries.
b.What is the p-value associated with the sample results? What is your conclusion, based on the p-value?

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Definitions:

Dumbarton Oaks

The site in Washington, D.C., where discussions were held in 1944 that led to the creation of the United Nations.

United Nations Organization

An international organization founded in 1945 to promote peace, security, and cooperation among countries worldwide.

Allies

Refers to countries or entities that cooperate militarily or politically during a conflict. Usually refers to the Allied powers in World War I or World War II.

Tehran Conference

A meeting during World War II, in 1943, between leaders of the United States, the United Kingdom, and the Soviet Union to discuss war strategy.