12: 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 68% . He examines a random sample of 500 emails received at an email server, and finds that 361 of the messages are spam. Can you conclude that the percentage of emails that are spam is greater than 68%? Use both a=0.10 and a=0.01 levels of significance and the P-value method with the TI-84 Plus calculator. Part 1: State the appropriate null and alternate hypotheses. H0: H1: This hypothesis test is a (BLANK) test. Part 2: Compute the value of the test statistic. Round the answer to at least two decimal places. z=(BLANK) Part 3: Compute the P-value. Round the answer to at least four decimal places. P-value: (BLANK) Part 4: (d) Determine whether to reject H0. At the a=0.10 level, ▼(Choose one) the null hypothesis H0. At the a=0.01 level, ▼(Choose one) the null hypothesis H0. Part 5: (e) State a conclusion. At the a=0.10 level of significance, there▼(Choose one) enough evidence to conclude that greater than 68% of emails are spam. At the a=0.01 level of significance, there▼(Choose one) enough evidence to conclude that greater than 68% of emails are spam. Answer Choice: Is Is Not

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Question 12: 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 68% . He examines a random sample of 500 emails received at an email server, and finds that 361 of the messages are spam. Can you conclude that the percentage of emails that are spam is greater than 68%? Use both a=0.10 and a=0.01 levels of significance and the P-value method with the TI-84 Plus calculator.

Part 1: State the appropriate null and alternate hypotheses.

H0:

H1:

This hypothesis test is a (BLANK) test.

Part 2: Compute the value of the test statistic. Round the answer to at least two decimal places.

z=(BLANK)

Part 3: Compute the P-value. Round the answer to at least four decimal places.

P-value: (BLANK)

Part 4: (d) Determine whether to reject H0.

At the a=0.10 level, ▼(Choose one) the null hypothesis H0.
At the a=0.01 level, ▼(Choose one) the null hypothesis H0.

Part 5: (e) State a conclusion.

At the a=0.10 level of significance, there▼(Choose one) enough evidence to conclude that greater than 68% of emails are spam.
At the a=0.01 level of significance, there▼(Choose one) enough evidence to conclude that greater than 68% of emails are spam.

Answer Choice: