A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age.

x1: Rate of hay fever per 1000 population for people under 25



144 89 119 119 125 136 91 109 111 108 116 123 120 121 115 123



A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old.



x2: Rate of hay fever per 1000 population for people over 50



109 109 90 81 85 94 92 106 110 89 87 94 100 90



Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use α =0.05. If , will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level α?



a
Since the P-value is less than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis.
b
Since the P-value is greater than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
c
Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we reject the null hypothesis.
d
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.
e
Since the P-value is less than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.