s the following statment true or false? Why? The p-value was obtained using the t-distribution table. The sample sizes of the two groups were 33 and 22, and the degree of freedom was 53. To find the p-value, it is necessary to look at the row corresponding to 53 at a significance level of 0.05  and two tails. The value of the critical test statistic is 2. The computed t-statistic, 0.2112,  falls between 0 and 0.679 from the same row. The next step is to look at the alpha levels at the top of the table with two tails, corresponding to 0 and 0.679. These alpha levels are 1 and 0.5. Therefore, the p-value of the test, which is 0.75, will be between 1 and 0.5. The p-value was confirmed using the TI-84 obtaining a similar p-value of 0.7994.   Traditional Students (G1) Online Students (G2) mean 2.97 2.95 standard deviation 0.34 0.35 sample size 33 22 significance level: 0.05

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Is the following statment true or false? Why?

The p-value was obtained using the t-distribution table. The sample sizes of the two groups were 33 and 22, and the degree of freedom was 53. To find the p-value, it is necessary to look at the row corresponding to 53 at a significance level of 0.05  and two tails. The value of the critical test statistic is 2. The computed t-statistic, 0.2112,  falls between 0 and 0.679 from the same row. The next step is to look at the alpha levels at the top of the table with two tails, corresponding to 0 and 0.679. These alpha levels are 1 and 0.5. Therefore, the p-value of the test, which is 0.75, will be between 1 and 0.5. The p-value was confirmed using the TI-84 obtaining a similar p-value of 0.7994.

  Traditional Students (G1) Online Students (G2)
mean 2.97 2.95
standard deviation 0.34 0.35
sample size 33 22

significance level: 0.05

degree of freedom: 53

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