Question

You are conducting a study to see if the accuracy rate for eyewitness testimony is significantly more than 0.8. You use a significance level of α = 0.002 α=0.002 . H 0 : p = 0.8 H0:p=0.8 H 1 : p > 0.8 H1:p>0.8 You obtain a sample of size n = 297 n=297 in which there are 252 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α α greater than α α This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the accuracy rate for eyewitness testimony is more than 0.8. There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for eyewitness testimony is more than 0.8. The sample data support the claim that the accuracy rate for eyewitness testimony is more than 0.8. There is not sufficient sample evidence to support the claim that the accuracy rate for eyewitness testimony is more than 0.8.

Answer 1

p^ = 252 / 297

Test statistic

                   

                    = 2.09

p-value = P(Z > 2.09) = 1 - P(Z < 2.09) = 1 - 0.9817 = 0.0183

P-value is not less than alpha.

This p-value leads to a decision to fail to reject the null.

The final conclusion is that, There is not sufficient sample evidence to support the claim that the accuracy rate for eyewitness testimony is more than 0.8