2. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the proportions are the same for the two states or if the proportion for Nevada is statistically different than that of North Dakota.

2. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the proportions are the same for the two states or if the proportion for Nevada is statistically different than that of North Dakota.

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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2. In the recent Census, three percent of the U.S. population reported being of two or more races.
However, the percent varies tremendously from state to state. Suppose that two random surveys
are conducted. In the first random survey, out of 1,000 North Dakotans, nine people reported being
of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being
of two or more races. Conduct a hypothesis test to determine if the proportions are the same for the
two states or if the proportion for Nevada is statistically different than that of North Dakota.

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