SOLUTION: A surprising number of people are scared of clowns. You expect that people will have more nightmares the night that they see clowns at the circus. To test this, you send a group of
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Question 1132663: A surprising number of people are scared of clowns. You expect that people will have more nightmares the night that they see clowns at the circus. To test this, you send a group of people to a circus with clowns, and a group to a circus without clowns, and measure the number of people in each group who have nightmares that night. Your data is shown below:
Nightmares Nice dreams
No clowns 12 35
Clowns 30 8
Perform a Z-test on nightmares after the no-clown circus minus nightmares after the clown circus. Report the test statistic.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Your data is shown below:
..........Nightmares Nice dreams
No clowns 12 35
Clowns 30 8
---
p1 = 12/47
p2 = 30/38
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Perform a Z-test on nightmares after the no-clown circus minus nightmares after the clown circus. Report the test statistic.
---
Ho:: p1-p2 = 0
Ha:: p1-p2 # 0
-----
Sample difference:: 12/47-30/38 = -0.534
Standard deviation = sqrt[(12/47)(25/47)/47 + (30/38)(8/38)/38]
= sqrt[0.0029+0.0044] = 0.0853
---
Test Statistic:: z(-0.534) = -0.523/0.0853 = -6.132
----
Cheers,
Stan H.
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