Question

A random sample of n₁ = 16 communities in certain state 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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112 124 106 128 106 83 123 96 96 108 124 125 81 112 133 112

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A random sample of n₂ = 14 regions in certatin state 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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103 106 109 107 89 85 94 109 111 103 107 104 100 96

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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 . If 0.025 < P-value < 0.05, will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level α?

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Answer 1