A random sample of 40 clowns in state Y were asked if they favor the use of Purple balloons or Red balloons for their show. Red balloons = 18 Purple ballons = 22 a) can we claim that at most half of the clowns favor the use of Purple balloons Use a = 0.01. b) calculate the value of the test statistic if atlease 60% of the clowns in state Y prefer not to use purple balloons for their show. c) Based on b) calculate the critical value and the level of significance if at least 60% of the clowns in state Y prefer not to use Purple balloons for their show.

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A random sample of 40 clowns in state Y
were asked if they favor the use of Purple
balloons or Red balloons for their show.
Red balloons = 18
Purple ballons = 22
a) can we claim that at most half of the
clowns favor the use of Purple balloons
Use a = 0.01.
b) calculate the value of the test statistic if
atlease 60% of the clowns in state Y
prefer not to use purple balloons for their
show.
c) Based on b) calculate the critical value
and the level of significance if at least
60% of the clowns in state Y prefer not to
use Purple balloons for their show.
Transcribed Image Text:A random sample of 40 clowns in state Y were asked if they favor the use of Purple balloons or Red balloons for their show. Red balloons = 18 Purple ballons = 22 a) can we claim that at most half of the clowns favor the use of Purple balloons Use a = 0.01. b) calculate the value of the test statistic if atlease 60% of the clowns in state Y prefer not to use purple balloons for their show. c) Based on b) calculate the critical value and the level of significance if at least 60% of the clowns in state Y prefer not to use Purple balloons for their show.
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