18. A credit card company claims that the mean time the hold is 3.5 minutes. An employee of this company believes that customers spend more than 3.5 minutes on hold. A random sample of n = 36 calls is selected and the mean time the customers in this sample spent on hold was 5.15 minutes. All conditions for inference were met and the p-value for the appropriate hypothesis test was 0.031. Which of the following statements is the best interpretation of the p-value?

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18. A credit card company claims that the mean time the customers spend on
hold is 3.5 minutes. An employee of this company believes that customers
spend more than 3.5 minutes on hold. A random sample of n = 36 calls is
selected and the mean time the customers in this sample spent on hold was
5.15 minutes. All conditions for inference were met and the p-value for the
appropriate hypothesis test was 0.031. Which of the following statements is the
best interpretation of the p-value?
(A) There is a 0.031 probability that the alternative hypothesis is true.
(B) There is a 0.031 probability that the null hypothesis is true.
(C) If the null hypothesis is true, there is a 0.031 probability of finding convincing
evidence that 5.15 minutes is greater than 3.5 minutes.
(D) If the null hypothesis is true, the probability of finding convincing evidence that the
null hypothesis is true is 0.031.
(E) If the null hypothesis is true, the probability of observing a sample mean of at least
5.15 minutes is 0.031.
Transcribed Image Text:18. A credit card company claims that the mean time the customers spend on hold is 3.5 minutes. An employee of this company believes that customers spend more than 3.5 minutes on hold. A random sample of n = 36 calls is selected and the mean time the customers in this sample spent on hold was 5.15 minutes. All conditions for inference were met and the p-value for the appropriate hypothesis test was 0.031. Which of the following statements is the best interpretation of the p-value? (A) There is a 0.031 probability that the alternative hypothesis is true. (B) There is a 0.031 probability that the null hypothesis is true. (C) If the null hypothesis is true, there is a 0.031 probability of finding convincing evidence that 5.15 minutes is greater than 3.5 minutes. (D) If the null hypothesis is true, the probability of finding convincing evidence that the null hypothesis is true is 0.031. (E) If the null hypothesis is true, the probability of observing a sample mean of at least 5.15 minutes is 0.031.
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