Question

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.24. You use a significance level of α = 0.001 . H 0 : p = 0.24 H 1 : p < 0.24 You obtain a sample of size n = 262 in which there are 48 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) α greater than α

This test statistic leads to a decision to...

a)reject the null

b)accept the null

c) fail to reject the null

As such, the final conclusion is that...

a)There is sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is less than 0.24.

b)There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is less than 0.24.

c)The sample data support the claim that the accuracy rate for fingerprint identification is less than 0.24.

d)There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is less than 0.24.

Answer 1

Here hypothesis is H 0 : p = 0.24 H 1 : p < 0.24.

Further we have sample of size n = 262 in which there are 48 successes, so

And

Hence test statistics is

P value for this test is (as it is left tailed test)

Here significance level is α = 0.001

As P value is greater than α = 0.001, so we fail to reject the null hypothesis.

So decision is

c) fail to reject the null

Hence conclusion is d)There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is less than 0.24.