Catching up modules 2 and 3 in canvas

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The number of 124 couples who turned their heads right when kissing
>=70 couples
a) To find the p-value for this simulation find
the proportion of simulations that observed
70 or more couples out of the 124 couples
who turned their heads to the right. Write
your answer as a decimal.
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c) Remember, it is good statistical practice to
make the hypothesis test two-tailed if there is
a chance that people could have shown a
preference for turning their heads to the right
or turning their heads to the left. Therefore,
the hypotheses more accurately should be
written as
Ho: The couples do not show a preference for
which direction they turn their heads when
they kiss
Ha: The couples do show a preference for
either direction they turn their heads when
they kiss
What would the p-value be if we calculate it by
looking at the simulation output? In other
words, what is the proportion of simulations
of 124 couples have couples that turned their
heads to the right as 70 couples or greater or
as 54 couples or fewer? Write answer as a
decimal.b) Assume that a=0.05. If the p-value is what
you calculated in part (a), what is your
conclusion to the hypothesis test?
Reject Ho. There is insufficient evidence
to conclude that couples do show a
preference to the right for the direction
they turn their heads when kissing.
Fail to reject Ho. There is insufficient
evidence to conclude that couples do
show a preference to the right for the
direction they turn their heads when
kissing.
Reject Ho. There is sufficient evidence
to conclude that couples do show a
preference to the right for the direction
they turn their heads when kissing.
Fail to reject Ho. There is sufficient
evidence to conclude that couples do
show a preference to the right for the
direction they turn their heads when
kissing.d) In practice typically researchers multiply the
p-value from a one-tailed test by 2 to calculate
the two-tailed test p-value. What would the p-
value be if we multiply the right-tailed p-value
from part (a) by two?
e) Are the p-values in parts (c) and (d) similar
or very
different?
The p-values calculated in part (c) and
part (d) are very different.
It is impossible to determine if they are
similar or different.
The p-values calculated in part (c) and
part (d) are similar since neither would
lead to rejecting the null hypothesis.
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