A concise, comprehensive treatment of the application of statistical regression analysis suitable for undergraduate and graduate students. Covers simple linear regression, multiple linear regression, model building, and advanced regression topics.
Answer the following questions based on Section 1.6: Hypothesis testing.
Suppose we have sampled 25 observations and our sample mean is 5.8 and our sample standard deviation is 2.5. Note that the 95th percentile of a t-distribution with 24 degrees of freedom is 1.711, the 97.5th percentile is 2.064, and the 99th percentile is 2.492. Use this information to answer the following questions about an upper-tail hypothesis test of NH: E(Y) = 4.7 versus AH: E(Y) > 4.7 using a significance level = 0.05.
Calculate the test statistic. Write a number rounded to one decimal place.
What is the test decision using the rejection region method?
What is the p-value for the test?
What is the test decision using the p-value method?
What is the test conclusion?
Which of the following will change if we instead do a two-tail hypothesis test of NH: E(Y) = 4.7 versus AH: E(Y) ≠ 4.7 using a significance level = 0.05? Select all that apply.
Suppose we have sampled 25 observations and our sample mean is 5.8 and our sample standard deviation is 2.5. Note that the 95th percentile of a t-distribution with 24 degrees of freedom is 1.711, the 97.5th percentile is 2.064, and the 99th percentile is 2.492. Use this information to answer the following questions about a two-tail hypothesis test of NH: E(Y) = 4.7 versus AH: E(Y) ≠ 4.7 using a significance level = 0.05.
If a hypothesis test statistic is in the rejection region, then the p-value must be less than the significance level?
What is the p-value for a hypothesis test?
Time's up
Categories:
Tags:
Comments are closed
Comments are closed