(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


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