You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.72. You use a significance level of α=0.02
H0:p=0.72
H1:p<0.72
You obtain a sample of size n=291n=291 in which there are 192 successes.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
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) αα
- greater than αα
This test statistic 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 fingerprint identification is less than 0.72.
- There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is less than 0.72.
- The sample data support the claim that the accuracy rate for fingerprint identification is less than 0.72.
- There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is less than 0.72.
