Question

Where people turn for news is different for various age groups. A study indicated where different age groups primarily get their news. The results are in the table below. At the 0.05 level of​ significance, is there evidence of a significant relationship between the age group and where people primarily get their​ news? If​ so, explain the relationship.

View the contingency table.

	Under 36	36-50	50+
Local TV	104	118	139
National TV	71	105	129
Radio	78	97	104
Local newspaper	54	79	105
Internet	97	86	74

The null and alternative hypotheses to​ test is

H0​: There is no relationship between where people primarily get their news and age group.

H1​: There is a relationship between where people primarily get their news and age group.

Calculate the test statistic.

X^{2 _STAT} =

​(Type an integer or a decimal. Round to three decimal places as​ needed.)

Answer 1

The following cross tablulation have been provided. The row and column total have been calculated and they are shown below:

	Column 1	Column 2	Column 3	Total
Row 1	104	118	139	361
Row 2	71	105	129	305
Row 3	78	97	104	279
Row 4	54	79	105	238
Row 5	97	86	74	257
Total	404	485	551	1440

Expected Values	Column 1	Column 2	Column 3	Total
Row 1	404*361/1440 = 101.281	485*361/1440 = 121.587	551*361/1440 = 138.133	361
Row 2	404*305/1440 = 85.569	485*305/1440 = 102.726	551*305/1440 = 116.705	305
Row 3	404*279/1440 = 78.275	485*279/1440 = 93.969	551*279/1440 = 106.756	279
Row 4	404*238/1440 = 66.772	485*238/1440 = 80.16	551*238/1440 = 91.068	238
Row 5	404*257/1440 = 72.103	485*257/1440 = 86.559	551*257/1440 = 98.338	257
Total	404	485	551	1440