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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.

Question

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.

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Solution

The correct statement is: "If the p-value <=0.05, it indicates strong evidence against the null hypothesis."

Here's why:

In statistical hypothesis testing, the p-value is the probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct.

A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.

Traditionally, if the p-value is less than (or equal to) 0.05, we reject the null hypothesis, and state that we found evidence to support the alternative hypothesis. Therefore, a p-value less than or equal to 0.05 indicates strong evidence against the null hypothesis.

The other two statements are incorrect because a p-value less than or equal to 0.05 does not indicate weak evidence against the null hypothesis, and a p-value greater than 0.05 does not indicate strong evidence against the null hypothesis. Instead, a p-value greater than 0.05 would indicate weak evidence against the null hypothesis, meaning we would fail to reject the null hypothesis.

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Similar Questions

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.

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

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.

For a strong Null hypothesis, what should be the value of P-value?Select an option Clear ResponseP-value must be greater than 0.05P-value must be lesser than 0.05P-value must be equal to 0.05P-value cannot determine the null hypothesis

Which of the following facts about the p-value of a test is correct? Check all that apply. The p-value is calculated under the assumption that the null hypothesis is true. The smaller the p-value, the more evidence the data provide against H0. The p-value can have values between −1 and 1.

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