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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

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 greater than 78% of emails are spam? Use both =0.10 and =0.01 levels of significance and the critical value method with the table.

  1. State the null and alternate hypotheses.
  2. Choose a significance level and find the critical value.
  3. Compute the test statistic.
  4. Determine whether to reject H0
  5. State a conclusion.

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