# (Solution) MATH 399N Week 7 Discussion: Rejection Region

Required Resources

Read/review the following resources for this activity:

• Textbook: Chapter 9 (All Sections)
• Lesson
• Minimum of 1 scholarly source

Initial Post Instructions

After reviewing data from a sample, an inference can be made about the population. For example,

Find a data set on the internet. Some suggested search terms: Free Data Sets, Medical Data Sets, Education Data Sets.

1. Introduce your Data Set and Cite the Source.
2. What trends do you notice in your data set?
3. Based on the trends and the history of your data set, make a claim. What kind of test (left, right, two tailed) would you have to complete?
4. Explain the steps needed to complete the Hypothesis Test. What is needed?

Follow-Up Post Instructions

Respond to at least two peers or one peer and the instructor. Further the dialogue by providing more information and clarification.

1. Based on the claim presented by your peer, state the null and alternative hypothesis and process you would take to determine if you would Reject or Fail to Reject Ho.
2. Based on the data and history presented by your peer, state a new claim and explain why you think your claim is valid.

Writing Requirements

• Minimum of 3 posts (1 initial & 2 follow-up)
• APA format for in-text citations and list of references

Solution:

The selected data for this discussion is the average per capita income in the United States in 2015. This is as depicted in the extract below.

 State 2015 Alabama \$38,965 Alaska 55,940 Arizona 39,060 Arkansas 39,107 California 52,651 Colorado 50,410 Connecticut 66,972 Delaware 47,662 DC 71,496 Florida 44,101 Georgia 40,551 Hawaii 47,753 Idaho 37,509 Illinois 49,471 Indiana 40,998 Iowa 44,971 Kansas 45,876 Kentucky 38,989 Louisiana 43,252 Maine 42,077 Maryland 56,127 Massachusetts 61,032 Michigan 42,427 Minnesota 50,541 Mississippi 35,444 Missouri 42,752 Montana \$41,280 Nebraska 48,006 Nevada 42,185 New Hampshire 54,817 New Jersey 59,782 New Mexico 38,457 New York 57,705 North Carolina 40,656 North Dakota 54,376 Ohio 43,478 Oklahoma 44,272 Oregon 42,974 Pennsylvania 49,180 Rhode Island 50,080 South Carolina 38,041 South Dakota 45,002 Tennessee 42,069 Texas 46,745 Utah 39,045 Vermont 47,864 Virginia 52,136 Washington 51,146 West Virginia 37,047 Wisconsin 45,617 Wyoming 55,303 United States 47,669

Based on the data, it can be noted that the average per capita income between differs considerably from one state to another.  Based on average per capita income in the country, the claim would be;

H0: The mean per capita income in the United States is  \$47,669

H1: The mean per capita income in the United States is greater than \$47,669…Please click the icon below to purchase full answer at only \$5