Question

A system manager at a large corporation believes that the percentage of spam email received at his company may be 61%. He examines a random sample of 213 emails received at an email server, and finds that 66% of the messages are spam. Use a significance level of α = 0.07.

a.) State the null and alternative hypothesis using correct symbolic form.

H₀: Answerρμσ Answer=≠<> Answer

H₁: Answerρμ σ Answer≠<> Answer

b.) Is this a left-tailed, right-tailed, or two-tailed hypothesis test?

left-tailed

right-tailed

two-tailed

c.) What are the critical values? (round to two decimal places)

z = ± Answer

d.) What is the test statistic? (round to two decimal places)

z = Answer

e.) What is the p-value? (round to four decimal places)

p-value is Answer

f.) Should we reject or fail to reject the null hypothesis?

reject

fail to reject

g.) State the conclusion.

There is sufficient evidence to support the claim that the percentage of spam email received at his company may be 61%.

There is not sufficient evidence to support the claim that the percentage of spam email received at his company may be 61%.

There is sufficient evidence to warrant rejection of the claim that the percentage of spam email received at his company may be 61%.

There is not sufficient evidence to warrant rejection of the claim that the percentage of spam email received at his company may be 61%.

Answer 1

option D)

There is not sufficient evidence to warrant rejection of the claim that the percentage of spam email received at his company may be 61%.