A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen. The sample scores are below. At the α = .01 level of significance, test the claim that the four newspapers have the same readability level.
A) Reject the null hypothesis.
B) Do not reject the null hypothesis.

Question

A readability analysis is conducted to determine how easy four different newspapers are to read for the average citizen. The sample scores are below.  At the α = .01 level of significance, test the claim that the four newspapers have the same readability level.
A) Reject the null hypothesis. 
B) Do not reject the null hypothesis.

Quizplus · Accepted Answer

H₀: All newspapers have identical readability levels. H_A: At least two of the newspapers differ in their location. for α = .01 with p = k − 1 = 4 − 1 = 3 degrees of freedom = 11.345 N = 4 × 5 = 20 Calculate the sum of the ranks in each sample (ranked from 1 to 20). 11ead627_0a08_d1db_93a1_717a37c2db37_TB7056_00 T_A = 32.5, T_B = 69.5, T_C = 23, T_D = 85 H = [12/(20 × 21)][(32.5)²/5 + (69.5)²/5 + (23)²/5 + (85)²/5] − 3(21) = 14.95 χ² = 0.2275. Reject the null hypothesis since H > χ². Therefore, reject H₀. Thus, for the four newspapers, at least two differ in their readability level.

A Readability Analysis Is Conducted to Determine How Easy Four