Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. Which one of the following statements is true? A) Because the p-value is greater than α, we reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old. B) Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old. C) Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old. D) Because the p-value is less than α, we reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old.
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. Which one of the following statements is true?
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A) |
Because the p-value is greater than α, we reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old. |
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B) |
Because the p-value is greater than α, we fail to reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old. |
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C) |
Because the p-value is less than α, we fail to reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old. |
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D) |
Because the p-value is less than α, we reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old.
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