Question

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.

1. Construct a 90% confidence interval

2. Explain what it means in the context of the problem

3. Is the conclusion valid? Please state if the assumptions are met or there are any problems

Answer 1

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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