SOLUTION: I need help with the following questions please: Problem 1) A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in eve

Question 735198: I need help with the following questions please:
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.
Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
Ans: p < 2.5% or p > 97.5%
--------------------------------
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?
Ans: < 2.5%
Problem 5)
What is the difference between an Type I and a Type II error? Provide an example of both.
Type I: You reject Ho when in fact it is true.
Type II: You fail to reject Ho when in fact it is false.
I'll leave the examples to you.
Cheers,
Stan H.

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