Questionwww-awualeks.com Content Aleks Blackboard Content Session Clo... Content Jonathan $\mathrm{V}_{\text {-. }}$ Timed Out knicks - Go... NFL Footba... Homework * 5: 9(1,3,4,5) 14(1,2) Question 10 of 30 (1 point) I Question Attempt: 1 of 3
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 $77 \%$. He examines a random sample of 500 emails received at an email server, and finds that 364 of the messages are spam. Can you conclude that the percentage of emails that are spam differs from $77 \%$ ? Use both $\alpha=0.01$ and $\alpha=0.05$ levels of significance and the $P$-value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $$\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$$
This hypotheses test is a left-tailed $\quad \nabla$ test.
Correct Answer: $$\begin{array}{l} H_{0}: p=0.77 \\ H_{1}: p \neq 0.77 \end{array}$$
This hypotheses test is a two-tailed test.
Part: $1 / 5$
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to at least two decimal places. $$z=\square$$