Wanting to enjoy the beautiful weather, Cassie took a walk with no destination in mind. At each four-way intersection, she randomly decided to head either south or west.
A summary of her walk is shown below.
S S S S S W W S W S
S S S S S S W W W S
S W W S W S W S W S
W W W S S W W W S W
Is there evidence at the a = 0.05 level of significance to support the hypothesis that Cassie's walk was not
random?
A) z = -0.26
Since z < z0.025 = 1.96, we do not reject H0. There is not sufficient evidence to support the hypothesis
that her walk was not random.
B) z = -0.91
Since z < z0.025 = 1.96, we do not reject H0. There is not sufficient evidence to support the hypothesis
that her walk was not random.
C) z = -5.43
Since z > z0.025 = 1.96, we reject H0. There is sufficient evidence to support the hypothesis that her
walk was not random.
D) z = -3.50
Since z > z0.025 = 1.96, we reject H0. There is sufficient evidence to support the hypothesis that her
walk was not random.
Question 2
The two flavors of ice cream in a taste test are supposed to be administered to respondents in a random fashion.
Suspecting that the administrators of the test did not follow the randomness rule, the project statistician examines the flavor order for the day's taste testing, shown below. vanilla chocolate vanilla chocolate chocolate chocolate vanilla chocolate vanilla vanilla chocolate vanilla chocolate vanilla chocolate vanilla chocolate vanilla chocolate vanilla Is there evidence at the a = 0.05 level of significance to support the hypothesis that the flavor order is not random? A) r = 17; lower critical value = 6; upper critical value = 16
Since r = 16, we reject H0. There is sufficient evidence to support the hypothesis that the sequence is not
random.
B) r = 16; lower critical value = 7; upper critical value = 18
Since 7 < r < 18, we do not reject H0. There is not sufficient evidence to support the hypothesis that the
sequence is not random.
C) r = 18; lower critical value = 7; upper critical value = 18
Since r = 18, we reject H0. There is sufficient evidence to support the hypothesis that the sequence is not
random.
D) r = 15; lower critical value = 6; upper critical value = 16
Since 7 < r < 18, we do not reject H0. There is not sufficient evidence to support the hypothesis that the
sequence is not random.
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