Question 1

The term &#34;statistically significant&#34; is synonymous with which of the following phrases&#10;A) Accepting the null hypothesis&#10;B) Accepting the alternative hypothesis&#10;C) Rejecting the null hypothesis&#10;D) Rejecting the alternative hypothesis

Accepted Answer

Statistical significance typically means that the observed results are unlikely to have occurred by chance alone, leading to the rejection of the null hypothesis.

Question 2

The phrase significant at the .01 level indicates which of the following?&#10;A) That the alternative hypothesis should be rejected&#10;B) That the probability that the null hypothesis is correct is .05&#10;C) The null hypothesis should be accepted&#10;D) That that p was equal to or less than .01

Accepted Answer

The phrase "significant at the .01 level" means that the probability (p-value) of observing the data or something more extreme, given that the null hypothesis is true, is equal to or less than .01. This typically leads to rejecting the null hypothesis in favor of the alternative hypothesis.

Question 3

If the result is statistically significant, it also has practical significance

Accepted Answer

Statistical significance does not necessarily imply practical significance. Statistical significance indicates that an observed effect is unlikely to be due to chance, while practical significance refers to whether the effect size is large enough to be of real-world importance.

Question 4

Which of the following statements is NOT true about the following results?
(t = 1.80, df = 12, p > .05)

A) The result indicates a significant t test
B) The difference between means is not significant
C) The t test was not significant at the .05 level
D) The probability that the null hypothesis is true is more than 5%

Accepted Answer

The statement that the result indicates a significant t test is not true because the p-value is greater than .05, indicating that the difference between means is not statistically significant at the .05 level.

Question 5

If the results indicate that the difference between the means is statistically significant at the .05 level (t = 2.03, df = 19), what should you conclude?&#10;A) Accept the null hypothesis&#10;B) There is not a significant difference between the means&#10;C) Reject the null hypothesis&#10;D) Reject the alternative hypothesis

Accepted Answer

Rejecting the null hypothesis is appropriate when the results are statistically significant, indicating that the observed difference between means is unlikely to have occurred by chance at the specified significance level.

Deck 25: Reports of the Results of T-Tests