Spam:A researcher reported that

71.8%

of all email sent in a recent month was spam. A system manager at a large corporation believes that the percentage at his company may be

71%

.He examines a random sample of

500

emails received at an email server, and finds that

380

of the messages are spam. Can you conclude that the percentage of emails that are spam differs from

71%? Use both = 0.10 and = 0.01

levels of significance and the critical value method with the table.

Find the critical values. Round the answers to three decimal places.

For a = 0.10,the critical values. there are at least two For = 0.01,the critical values. are there are at least two.

What is the P - value?

Do we have enough evidence to reject or fail to reject the hypothesis for a = 0.10 ?

Do we have enough evidence to reject or fail to reject for hypotheis for a = 0.01 ?