Question
If the efficiency expert set an alpha level of p < .05 , which of the probabilities stated below would suggest a statistically significant difference
If the efficiency expert set an alpha level of
p
< .05
, which of the probabilities stated below would suggest a
statistically significant difference in the time taken to read the circular and rectangular visual displays?
a) 0.01
b) 0.0310
c) 0.008
d) 0.36
e) 0.80
f) 0.035
g) 0.014
h) 0.10
i) 0.134
j) 0.0068
k) 0.0051
l) 0.101
m) 0.51
n) 0.0451
o) 0.055
p) 0.065
q) 0.04879
r) 0.5051
s) 0.45
t) 0.000001
2) Using the statements in question 1 above, and for an alpha level of
p
< .05
, determine whether the
researcher made an error or a correct decision for the following:
a) The researcher obtained a probability of
p < .0104
and failed to reject the null hypothesis (
H
0
); in other
words, he concluded that there was no statistically significant difference between the time taken to read the
circular and rectangular displays.
b) The researcher obtained a probability of
p < .0649
and rejected the null hypothesis (
H
0
); in other words, he
concluded that there was a statistically significant difference between the time taken to read the circular and
rectangular displays.
c) The researcher obtained a probability of
p < .003
and failed to reject the null hypothesis (
H
0
); in other
words, he concluded that there was no statistically significant difference between the time taken to read the
circular and rectangular displays.
d) The researcher obtained a probability of
p < .055
and failed to reject (
H
0
); in other words, he concluded that
there was no statistically significant difference in the time taken to read the circular and rectangular displays.
e) The researcher obtained a probability of
p < .420
and rejected the null hypothesis (
H
0
); in other words, he
concluded that there was a statistically significant difference between the time taken to read the circular and
rectangular displays.
f) The researcher obtained a probability of
p < .9801
and failed to rejected the null hypothesis (
H
0
); in other
words, he concluded that there was no statistically significant difference between the time taken to read the
circular and rectangular displays.
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