of the following statements below is correct, as a way of explaining what the P-value means? Group of answer choices ( ) If you can move more beans with your dominant hand, then there is about an 11.17% chance of getting a test-statistic at least as far from 0 as the 1.697 (the statistic we actually got). ( ) About 11.17% of the differences were bigger than what the null Hypothesis would expect. ( ) There is about an 11.17% chance that the Null Hypothesis is correct. ( ) If the hand you use makes no difference in how many beans you can move, then there is about an 11.17% chance of getting a test-statistic at least as far from 0 as the 1.697 (the statistic
Beans: Interpreting the P-value
Still working with the beans study. The output for the two-sided test of significance is as follows:
##
##
## Inferential Procedures for the Difference of Means mu-d:
## Dom minus NonDom
##
##
## Descriptive Results:
##
## Difference mean.difference sd.difference n
## Dom - NonDom 1.067 2.434 15
##
##
## Inferential Results:
##
## Estimate of mu-d: 1.067
## SE(d.bar): 0.6284
##
## 95% Confidence Interval for mu-d:
##
## lower.bound upper.bound
## -0.281175 2.414509
##
## Test of Significance:
##
## H_0: mu-d = 0
## H_a: mu-d != 0
##
## Test Statistic: t = 1.697
## Degrees of Freedom: 14
## P-value: P = 0.1117
Which of the following statements below is correct, as a way of explaining what the P-value means?
( ) If you can move more beans with your dominant hand, then there is about an 11.17% chance of getting a test-statistic at least as far from 0 as the 1.697 (the statistic we actually got).
( ) About 11.17% of the differences were bigger than what the null Hypothesis would expect.
( ) If the hand you use makes no difference in how many beans you can move, then there is about an 11.17% chance of getting a test-statistic at least as far from 0 as the 1.697 (the statistic we actually got).
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