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...

Chapter Nine

Show all work

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

Show all work

Problem 1)

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