Question
(a) The director of a daily newpaper is desirous of investigating the relationship between the a readers area of residence and the section of the
(a) The director of a daily newpaper is desirous of investigating the relationship between the a readers area of residence and the section of the paper he or she reads first. One thousand, one hundred and sixty-five readers of the newspaper were surveyed. The data gathered was summarized in a contingency table. See Table 1 below.
Table 1
Section of the News paper | ||||||
Area of residence | Lead stories | New | Sports | Commentary | Commentary | Total |
Rural | 150 | 119 | 102 | 115 | 100 | 586 |
Urban | 167 | 122 | 98 | 100 | 92 | 579 |
Total | 317` | 241 | 200 | 215 | 192 | 1165 |
The director asked you to assist with conducting an appropriate hypothesis test to determine whether there is a relationship between the type of community the readers area of residence and the section of the paper he or she reads first.
(1) State the type of hypothesis test that is appropriate for this investigation.
(ii) Carefully state the null and alternative hypotheses of this test.
(iii) Determine the degrees of freedom for this test.
(iv) The information in Table 2 above was inputted in MINITAB for further analysis. MINITAB generated the results shown in Exhibit 2 below
Exhibit 2
Chi-Square = 2.367, DF = (purposely deleted), P-Value = 0.6686
Assist the director to make a conclusion for this test? Give reasons for your answer.
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