According to the 2010 US Census, approximately 19.4% of persons aged 65 or over live in the Northeast, 22.4% in the Midwest, 37.0% in the South, and 21.2% in the West. A random sample of 200 subscribers to a national magazine targeted at persons in this age group was drawn and their region of residence was recorded in the table below. Test to determine whether the regional distribution for the magazine's subscribers could be the same as the regional distribution for all persons who are 65 or over. Be sure to state your hypotheses, test statistic, degrees of freedom, p?value, and conclusion. Use alpha= .01.
Region Subscribers
Northeast 51
Midwest 38
South 62
West 49