Are avid readers more likely to wear glasses than those who read less frequently? Three-hundred individuals were selected at random and characterized according to their vision and the amount of reading they did. The results are presented in the following table. Use a 5% significance level for the test.

Below average Average Above Average Total

Wear glasses 30 48 47 125

Do not wear glasses 70 80 25 175

Total 100 128 72 300

Under the null hypothesis of no association between whether glasses are worn and amount of reading done, the expected count for those who wore glasses and were average readers is 53.33 and the expected count for those who did not wear glasses and were above average readers is 42. The numerical value of the chi-square statistic for this test is 23.03.

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