In: Statistics and Probability
A week’s worth of video footage found that Arrow incapacitated and captured 79% of bad guys with his chosen arrow. He encountered 37 bad guys that week, which is a pretty typical week.
Answer:
Given Data
We have given
P = 0.79 ,
n = 37
X = bad guys
We have to find
a) 90% CI
b) Here from confidence interval we see that our value of p is lie within this confidence interval .
Hence we say that our proportion of bad guys is 0.79
ie 79%
c) Yes , our conclusion is valid.
d) Here we have to test
Test statistic:
Here
Decision Rule :
Reject if
Here
Hence we accept at 5%
l = 0.5
Conclusion : Our claim p = 2/3 is night.
Hence our data support this statement.
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