​A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age.
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x1: Rate of hay fever per 1000 population for people under 25

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

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

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

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

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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?

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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.