Problem 1)

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand.  State the null hypothesis and the alternative hypothesis for a test of significance.

Problem 2)

At one school, the average amount of time that tenth-graders spend watching television each week is 18.4 hours.  The principal introduces a campaign to encourage the students to watch less television.  One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased.  Formulate the null and alternative hypotheses for the study described.

Problem 3)

A two-tailed test is conducted at the 5% significance level.  What is the P-value required to reject the null hypothesis?

Problem 4)

A two-tailed test is conducted at the 5% significance level.  What is the right tail percentile required to reject the null hypothesis?

Problem 5)

What is the difference between an Type I and a Type II error?  Provide an example of both.

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