Question

22
wrong results, 74 correct results

.05 significance level

polygraph correct less than 80% of time

test statistic and p value

Answer #1

Ho :p = 0.8

H1 :p <0.8 (Left tail test)

Level of Significance,α = 0.05

Number of Items of Interest,x =74

Sample Size,n =22+74 = 96

Sample Proportion , p̂ = x/n = 0.7708

Standard Error , SE = √( p(1-p)/n ) = 0.0408

Z Test Statistic = ( p̂-p)/SE = (0.7708-0.8) /0.0408 =
**-0.7144**

**p-Value=0.2375**
[excel function =NORMSDIST(z)]

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Trials in an experiment with a polygraph include 99 results that
include 24 cases of wrong results and 75 cases of correct results.
Use a 0.01 significance level to test the claim that such polygraph
results are correct less than 80% of the time. Identify the null
hypothesis, alternative hypothesis, test statistic, P-value,
conclusion about the null hypothesis, and final conclusion that
addresses the original claim. Use the P-value method. Use the
normal distribution as an approximation of the binomial...

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include 23 cases of wrong results and 73 cases of correct results.
Use a 0.01 significance level to test the claim that such polygraph
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Use a 0.01 significance level to test the claim that such polygraph
results are correct less than 80% of the time. Identify the null
hypothesis, alternative hypothesis, test statistic, P-value,
conclusion about the null hypothesis, and final conclusion that
addresses the original claim. Use the P-value method. Use the
normal distribution as an approximation of the...

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normal distribution as an approximation of the binomial...

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