When you are given only the value of a test statistic and need to compute a P-Value, you can do so using the Distribution tab in Geogebra's probability calculator, or the Graph>Probability Distribution Plot in Minitab. Make sure you are using the correct type of distribution: • For z-scores: Normal distribution, u = 0, o = 1 • For t-scores: Student distribution with the correct df. The type of interval you use within the distribution calculator depends on the direction of the Alternative Hypothesis: • Left-sided (<): Select a left-sided interval. • Right-sided (>): Select a right-sided interval. • Two-sided (#): If your test statistic is negative, use a left-sided interval. If your test statistic is positive, use a right-sided interval. In Minitab, you can select the "Both Tails" option and input your test statistic for the X value. After selecting the correct type of interval, enter the value of the test statistic within the P(...) input field. • For one-sided alternatives (left or right), the P-Value is the area/proportion. Check to see that the correct area is shaded! • For a two-sided alternative, multiply the area/proportion by 2 (you can do so directly within a WebWork answer blank (2 * .0123, for example). A P- value can never be bigger than 1 (if this happens, you most likely used the wrong type of interval). If you're using Minitab and used the Both Tails option, add the area given for each tail together. For a hypothesis test with a test statistic of z = 2.412: • The left-sided P-Value is 0.9921 • The right-sided P-Value is 0.0079 • The two-sided P-Value is 0.0159 For a hypothesis test with a test statistic of t = -2.182 with df = 24: 0.0196 • The left-sided P-Value is • The right-sided P-Value is 0.9804 The two-sided P-Value is 0.0391

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Author:Amos Gilat
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When you are given only the value of a test statistic and need to compute a P-Value, you can do so using the Distribution tab in Geogebra's probability
calculator, or the Graph>Probability Distribution Plot in Minitab.
Make sure you are using the correct type of distribution:
• For z-scores: Normal distribution, u = 0, o = 1
• For t-scores: Student distribution with the correct df.
The type of interval you use within the distribution calculator depends on the direction of the Alternative Hypothesis:
• Left-sided (<): Select a left-sided interval.
• Right-sided (>): Select a right-sided interval.
• Two-sided (#): If your test statistic is negative, use a left-sided interval. If your test statistic is positive, use a right-sided interval. In Minitab, you can
select the "Both Tails" option and input your test statistic for the X value.
After selecting the correct type of interval, enter the value of the test statistic within the P(...) input field.
• For one-sided alternatives (left or right), the P-Value is the area/proportion. Check to see that the correct area is shaded!
• For a two-sided alternative, multiply the area/proportion by 2 (you can do so directly within a WebWork answer blank (2 *.0123, for example). A P-
value can never be bigger than 1 (if this happens, you most likely used the wrong type of interval). If you're using Minitab and used the Both Tails
option, add the area given for each tail together.
For a hypothesis test with a test statistic of z = 2.412:
• The left-sided P-Value is 0.9921
• The right-sided P-Value is 0.0079
• The two-sided P-Value is
0.0159
For a hypothesis test with a test statistic of t = -2.182 with df = 24:
0.0196
• The left-sided P-Value is
• The right-sided P-Value is 0.9804
• The two-sided P-Value is 0.0391
Transcribed Image Text:When you are given only the value of a test statistic and need to compute a P-Value, you can do so using the Distribution tab in Geogebra's probability calculator, or the Graph>Probability Distribution Plot in Minitab. Make sure you are using the correct type of distribution: • For z-scores: Normal distribution, u = 0, o = 1 • For t-scores: Student distribution with the correct df. The type of interval you use within the distribution calculator depends on the direction of the Alternative Hypothesis: • Left-sided (<): Select a left-sided interval. • Right-sided (>): Select a right-sided interval. • Two-sided (#): If your test statistic is negative, use a left-sided interval. If your test statistic is positive, use a right-sided interval. In Minitab, you can select the "Both Tails" option and input your test statistic for the X value. After selecting the correct type of interval, enter the value of the test statistic within the P(...) input field. • For one-sided alternatives (left or right), the P-Value is the area/proportion. Check to see that the correct area is shaded! • For a two-sided alternative, multiply the area/proportion by 2 (you can do so directly within a WebWork answer blank (2 *.0123, for example). A P- value can never be bigger than 1 (if this happens, you most likely used the wrong type of interval). If you're using Minitab and used the Both Tails option, add the area given for each tail together. For a hypothesis test with a test statistic of z = 2.412: • The left-sided P-Value is 0.9921 • The right-sided P-Value is 0.0079 • The two-sided P-Value is 0.0159 For a hypothesis test with a test statistic of t = -2.182 with df = 24: 0.0196 • The left-sided P-Value is • The right-sided P-Value is 0.9804 • The two-sided P-Value is 0.0391
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