A random sample of n1 = 16 communities in western Kansas gave the following rates of hay fever per 1000 population for people under 25 years of age.
121 115 124 99 134 121 110 116 113 96 116 116 135 96 96 116
A random sample of n2 = 14 communities in western Kansas gave the following rates of hay fever per 1000 population for people over 50 years old.
113 86 106 102 113 94 94 108 103 99 78 105 88 100
Assume that the hay fever rate in each age group has an approximately normal distribution. Using the method outlined in Brase and Brase, do the data indicate that the age group over 50 has a lower rate of hay fever? Use Do you reject or fail to reject the null hypothesis? Are the data statistically significant at the level of significance?
a) Since the P-value is greater than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis.
b) Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis.
c) Since the P-value is greater than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis.
d) Since the P-value is less than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
e) Since the P-value is greater than the level of significance, the data are not statistically significant. Thus, we reject the null hypothesis.