Researchers investigated whether a new process for producing yarn could reduce the mean amount of volatile organic compounds (VOCs) emitted by carpet. From random samples of carpets, the researchers found the mean reduction of VOCs emitted by carpets made with yarn produced by the new process compared with that of carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditions for inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following statements is the best interpretation of the p-value? (A) The probability that the null hypothesis is true is 0.095. (B) The probability that the alternative hypothesis is true is 0.095. (C) The probability of observing a mean reduction of 13 ppm is 0.095.(D) If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095. (E) If the null hypothesis is true, the probability of observing a mean reduction of at most 13 ppm is 0.095.
Researchers investigated whether a new process for producing yarn could reduce the
organic compounds (VOCs) emitted by carpet. From random samples of carpets, the researchers found the
mean reduction of VOCs emitted by carpets made with yarn produced by the new process compared with that
of carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditions
for inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following
statements is the best interpretation of the p-value?
(A) The probability that the null hypothesis is true is 0.095.
(B) The probability that the alternative hypothesis is true is 0.095.
(C) The probability of observing a mean reduction of 13 ppm is 0.095.
(D) If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095.
(E) If the null hypothesis is true, the probability of observing a mean reduction of at most 13 ppm is 0.095.
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