Question

You wish to test the following claim (Ha) at a significance level of α=0.005.

Ho:p=0.27

Ha:p>0.27

You obtain a sample of size n=587 in which there are 168 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.)

The p-value for this test is (assuming Ho is true) the probability of observing...

a) at most 168 successful observations

b) at least 168 successful observations

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

p-value =

The p-value is...

a) less than (or equal to) α

b) greater than α

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...

a) There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.27.

b) There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.27.

c) The sample data support the claim that the population proportion is greater than 0.27.

d) There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.27.

Can not use excel to solve. Please help!

Answer 1

The p-value for this test is b) at least 168 successful observations

p-value = 0.2005

the p value is b) greater than α

This test statistic leads to a decision to... fail to reject the null

d) There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.27.