Question

Problem 5 (24 points) Psychologists conducted an experiment to investigate the effect of anxiety on a person's desire to be alone or in the company of others (Schacter 1959, Lehmann 1975). A group of 30 individuals were randomly assigned into two groups; one group was designated the "high anxiety" group and the other the "low anxiety" group. Those in the high-anxiety group were told that in the "upcoming experiment", they would be subjected to painful electric shocks, while those in the low-anxiety group were told that the shocks would be mild and painless. All individuals were informed that there would be a 10 minute wait before the experiment began, and that they could choose whether to wait alone or with other participants. The following table summarizes the results: Wait Together Wait Alone Sum High-Anxiety 12 5 17 Low-Anxiety 4 9 13 Sum 16 14 30 (a) Under the null hypothesis of no association, what are the expected cell counts? (b) Conduct a formal test of association for the results and summarize your findings. Let $\alpha = 0.05$.

          Problem 5 (24 points) Psychologists conducted an experiment to investigate the effect of anxiety
on a person's desire to be alone or in the company of others (Schacter 1959, Lehmann 1975). A
group of 30 individuals were randomly assigned into two groups; one group was designated the
"high anxiety" group and the other the "low anxiety" group. Those in the high-anxiety group were
told that in the "upcoming experiment", they would be subjected to painful electric shocks, while
those in the low-anxiety group were told that the shocks would be mild and painless. All
individuals were informed that there would be a 10 minute wait before the experiment began, and
that they could choose whether to wait alone or with other participants.
The following table summarizes the results:
Wait Together	Wait Alone	Sum
High-Anxiety	12	5	17
Low-Anxiety	4	9	13
Sum	16	14	30
(a) Under the null hypothesis of no association, what are the expected cell counts?
(b) Conduct a formal test of association for the results and summarize your findings. Let $\alpha = 0.05$.

Problem 5 (24 points) Psychologists conducted an experiment to investigate the effect of anxiety
on a person's desire to be alone or in the company of others (Schacter 1959, Lehmann 1975). A
group of 30 individuals were randomly assigned into two groups; one group was designated the
"high anxiety" group and the other the "low anxiety" group. Those in the high-anxiety group were
told that in the "upcoming experiment", they would be subjected to painful electric shocks, while
those in the low-anxiety group were told that the shocks would be mild and painless. All
individuals were informed that there would be a 10 minute wait before the experiment began, and
that they could choose whether to wait alone or with other participants.
The following table summarizes the results:
Wait Together Wait Alone Sum
High-Anxiety 12 5 17
Low-Anxiety 4 9 13
Sum 16 14 30
(a) Under the null hypothesis of no association, what are the expected cell counts?
(b) Conduct a formal test of association for the results and summarize your findings. Let α = 0.05.

Added by Alex G.

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