Mathematics, 25.04.2020 01:45, noor66
Rubber rabbitbrush plants display heritable variation in plant height and insect-induced gall formation. In a field study, researchers investigated the relationship between plant height and gall number for the rubber rabbitbrush plants in a natural population. The researchers used the data they collected to perform a chi-square test of independence. The null hypothesis for the chi-square test was that plant height and gall number are independent. The data for the chi-square test are presented in Table 1.
Table 1. Data for the chi-square test of independence
Height Category (cm)(cm) Number of Plants with Ten or Fewer Galls Number of Plants with More than Ten Galls
0Ć¢ā¬ā30 34 6
31Ć¢ā¬ā60 22 16
61Ć¢ā¬ā90 14 21
91Ć¢ā¬ā120 10 27
The researchers calculated a chi-square value of 29.25. If there are three degrees of freedom and the significance level is p=0.05p=0.05, which of the following statements best completes the chi-square test?
The critical value is 0.05, and the null hypothesis cannot be rejected because the calculated chi-square value is greater than the critical value.
A. he critical value is 0.05, and the null hypothesis can be rejected because the calculated chi-square value is greater than the critical value.
B. The critical value is 7.82, and the null hypothesis cannot be rejected because the calculated chi-square value is greater than the critical value.
C. The critical value is 7.82, and the null hypothesis can be rejected because the calculated chi-square value is greater than the critical value.
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