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Which of the following is a true statement? a. The larger the p-value, the more evidence there is against the null hypothesis. b. The p-value of a test is the probability of getting a test statistic more extreme than the sample result, given that the null hypothesis is true. c. The p-value of a test is the probability of getting a test statistic more extreme than the sample result, given that the null hypothesis is false. d. If the p-value is less than alpha, then the test statistic value is less than the critical value.

Question

Which of the following is a true statement?

a. The larger the p-value, the more evidence there is against the null hypothesis.

b. The p-value of a test is the probability of getting a test statistic more extreme than the sample result, given that the null hypothesis is true. c. The p-value of a test is the probability of getting a test statistic more extreme than the sample result, given that the null hypothesis is false.

d. If the p-value is less than alpha, then the test statistic value is less than the critical value.

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Solution

The true statement is:

b. The p-value of a test is the probability of getting a test statistic more extreme than the sample result, given that the null hypothesis is true.

Similar Questions

Which of the following statements is NOT true regarding p-value? The result of every hypothesis test includes a p-value The p-value is the true test of significance The p-value represents the probability that the null hypothesis is TRUE If the p-value is less than or equal to 0.05, there is NOT a significant difference -- fail to reject the Null hypothesis

The p-value in hypothesis testing represents which of the following: Group of answer choicesThe probability of failing to reject the null hypothesis, given the observed resultsThe probability that the null hypothesis is true, given the observed resultsThe probability that the observed results are statistically significant, given that the null hypothesis is trueThe probability of observing results as extreme or more extreme than currently observed, given that the null hypothesis is true

In testing the hypothesesH0: μ = 75.HA: μ < 75,the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?Group of answer choicesNone of the above statements is correct.The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.The probability that the population mean is smaller than 75 is 0.042.The smallest value of α that would lead to the rejection of the null hypothesis is 0.042.

Which of the following statements is correct?If the p-value <=0.05, it indicates strong evidence against the null hypothesis.If the p-value <= 0.05, it indicates weak strong evidence against the null hypothesis.If the p-value > 0.05, it indicates strong evidence against the null hypothesis.

Which of the following facts about the p-value of a test is correct? The larger the p-value, the more evidence the data provide against H0. Regardless of the significance level, a p-value of 0.01 provides enough evidence to reject H0. A p-value smaller than the significance level provides enough evidence to reject H0.

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