A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). X1: New England Crime Rate 3.3 3.9 4.0 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). X2: Rocky Mountain Crime Rate 3.7 4.1 4.5 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. (i) Use a calculator to calculate x1, S1, X2, and s2. (Round your answers to three decimal places.) X1 = S1 = X2 = S2 = (ii) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01. (a) What is the level of significance?

A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). X1: New England Crime Rate 3.3 3.9 4.0 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). X2: Rocky Mountain Crime Rate 3.7 4.1 4.5 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. (i) Use a calculator to calculate x1, S1, X2, and s2. (Round your answers to three decimal places.) X1 = S1 = X2 = S2 = (ii) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01. (a) What is the level of significance?

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Description: A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).X1: New England Crime Rate3.3 3.9 4.0 4.1 3.3 4.11.8 4.82.9 3.1Another random sample of n2 = 12 regions in the Rocky Mountain states ga

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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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Question

A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population).
X1: New England Crime Rate
3.3 3.9 4.0 4.1 3.3 4.1
1.8 4.8
2.9 3.1
Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population).
X2: Rocky Mountain Crime Rate
3.7 4.1 4.5 5.1 3.3 4.8
3.5 2.4 3.1 3.5 5.2 2.8
Assume that the crime rate distribution is approximately normal in both regions.
(i) Use a calculator to calculate x1, S1, X2, and s2. (Round your answers to three decimal places.)
X1 =
S1 =
X2 =
S2 =
(ii) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01.
(a) What is the level of significance?

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