For each part determine whether the result is statistically

For each part, determine whether the result is statistically significant at the .01 level of significance.

(a) ² = 3.80, df = 1.

Yes or No

(b) ² = 5.88, df = 1.

Yes or No

(c) ² = 28.44, df = 4.

Yes or No

(d) ² = 28.44, df = 15.

Yes or No

Solution

Getting the critical values by tables or technology, results are significant only when chi^2 > chi^2 (critical). Thus, for each case,

a) chi^2(crit) = 6.634896601 [insignificant]

b) chi^2(crit) = 6.634896601 [insignificant]

c) chi^2(crit) = 13.27670414 [significant]

d) chi^2(crit) = 30.57791417 [insignificant]