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 78%. He examines a random sample of 500 emails received at an email server, and finds that 369 of the messages are spam. Can you conclude that less than 78% of emails are spam? Use both a = 0.10 and a = 0.01 levels of significance and the critical value method with the table. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: p = 0.78 Hị: p < 0.78 This hypothesis test is a left-tailed test. Part: 1/5 Part 2 of 5 Find the critical values. Round the answers to three decimal places. For a = 0.10, the critical value is For a = 0.01, the critical value is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 78%. He examines a random sample of 500 emails received at an email server, and finds that 369 of the messages are spam. Can you
conclude that less than 78% of emails are spam? Use both a = 0.10 and a = 0.01 levels of significance and the critical value method with the table.
Part 1 of 5
State the appropriate null and alternate hypotheses.
Ho: p = 0.78
H: p < 0.78
This hypothesis test is a left-tailed
v test.
Part: 1/5
Part 2 of 5
Find the critical values. Round the answers to three decimal places.
For a = 0.10, the critical value is
For a = 0.01, the critical value is
Transcribed Image Text: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 78%. He examines a random sample of 500 emails received at an email server, and finds that 369 of the messages are spam. Can you conclude that less than 78% of emails are spam? Use both a = 0.10 and a = 0.01 levels of significance and the critical value method with the table. Part 1 of 5 State the appropriate null and alternate hypotheses. Ho: p = 0.78 H: p < 0.78 This hypothesis test is a left-tailed v test. Part: 1/5 Part 2 of 5 Find the critical values. Round the answers to three decimal places. For a = 0.10, the critical value is For a = 0.01, the critical value is
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