# Btm8104-8 Data File 5

Data File 5

Chapter Nine

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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.
Ho: p >= 0.001
Ha: p < 0.001 (claim)

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.
Ho: u >= 18.4
Ha: u < 18.4 (claim)

Problem 3)

A two-tailed test is conducted at the 5% significance level.   What is the P-value required to reject the null hypothesis?
To reject the null hypothesis the p-value should be less than 0.05.

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?
The right tail percentile required to reject a null hypothesis for a two tailed test conducted at 5% significance level is 5/2 = 2.5%

Problem 5)

What is the difference between an Type I and a Type II error?   Provide an example of both.
Type I: This occurs when the null hypothesis is rejected while it is true: An example of committing of type one error is when a good player is not given the chance to play in the match or when an innocent person is sent to jail.

Type II error: This happens when a false null hypothesis is accepted. An example of Type II error is when the offender is set free by mistake.

Chapter 10

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Problem 1)

Steven collected data from 20 college students on their emotional responses to classical music.   Students listened to two 30-second segments...