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?

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 we actually got).

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