A Random Sample of N₁ = 16 Communities in Western $\alpha$

question 2

Multiple Choice

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
116 136 96 98 81 81 128 95 122 122 107 91 116 122 101 116 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
105 107 86 100 106 103 85 102 106 99 127 100 109 100 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 0.05. If 0.10 < P-value < 0.20, will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level $\alpha$ ?
$$\alpha =$$

• 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 less than the level of significance, the data are not statistically significant. Thus, we 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 greater 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.

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