Question

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.68. You use a significance level of α=0.01α=0.01.

      H0:p=0.68H0:p=0.68
      H1:p≠0.68H1:p≠0.68

You obtain a sample of size n=439n=439 in which there are 309 successes.

What is the test statistic for this sample?
test statistic =  (Report answer accurate to 3 decimal places.)

What is the p-value for this sample?
p-value =  (Report answer accurate to 4 decimal places.)

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 different from 0.68.
• There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is different from 0.68.
• The sample data support the claim that the accuracy rate for fingerprint identification is different from 0.68.
• There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is different from 0.68.

Answer 1

α=0.01.

H0:p=0.68
H1:p≠0.68

n=439, x=309

What is the test statistic for this sample?

test statistc = ((x/n)-p)/sqrt((p*(1-p))/n) = ((309/439)-0.68)/sqrt((0.68*(1-0.68))/439) = 1.07

Test statistc = 1.072

What is the p-value for this sample?
p-value =  0.2838

The p-value is...

• greater than α

This test statistic leads to a decision to...

• 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 different from 0.68.