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A solar power engineer took a random sample of houses and installed the same type of solar panels using two different methods on each house to investigate whether there is a mean difference in the angles of installation between the two methods for all houses in the population of interest. The engineer found the sample mean difference between the two methods to be 0.2 degree and the p-value for a two-sided matched-pairs t-test for the mean difference to be 0.65. Assuming the conditions for inference are met, which of the following statements is the best interpretation of the p -value? (A) The probability that the null hypothesis is true is 0.65. (B) If the null hypothesis is true, the probability is 0.65 of observing a mean difference of 0.2 degree or -0.2 (C) (D) (E) degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree or less than -0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of less than -0.2 degree.

A solar power engineer took a random sample of houses and installed the same type of solar panels using two different methods on each house to investigate whether there is a mean difference in the angles of installation between the two methods for all houses in the population of interest. The engineer found the sample mean difference between the two methods to be 0.2 degree and the p-value for a two-sided matched-pairs t-test for the mean difference to be 0.65. Assuming the conditions for inference are met, which of the following statements is the best interpretation of the p -value? (A) The probability that the null hypothesis is true is 0.65. (B) If the null hypothesis is true, the probability is 0.65 of observing a mean difference of 0.2 degree or -0.2 (C) (D) (E) degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree or less than -0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of less than -0.2 degree.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A solar power engineer took a random sample of houses and installed the same type of solar panels using two different methods on each house to investigate whether there is a mean difference in the angles of installation between the two methods for all houses in the population of interest. The engineer found the sample mean difference between the two methods to be 0.2 degree and the p-value for a two-sided matched-pairs t-test for the mean difference to be 0.65. Assuming the conditions for inference are met, which of the following statements is the best interpretation of the p -value? (A) The probability that the null hypothesis is true is 0.65. (B) If the null hypothesis is true, the probability is 0.65 of observing a mean difference of 0.2 degree or -0.2 (C) (D) (E) degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree or less than -0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of less than -0.2 degree.
Transcribed Image Text:A solar power engineer took a random sample of houses and installed the same type of solar panels using two different methods on each house to investigate whether there is a mean difference in the angles of installation between the two methods for all houses in the population of interest. The engineer found the sample mean difference between the two methods to be 0.2 degree and the p-value for a two-sided matched-pairs t-test for the mean difference to be 0.65. Assuming the conditions for inference are met, which of the following statements is the best interpretation of the p -value? (A) The probability that the null hypothesis is true is 0.65. (B) If the null hypothesis is true, the probability is 0.65 of observing a mean difference of 0.2 degree or -0.2 (C) (D) (E) degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree or less than -0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of less than -0.2 degree.
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