For each of the following hypothesis tests, find the P-value. (a) Researchers perform a hypothesis test with hypotheses Ηρ: μ =79 and Ηα: μ <79. From a sample of size n =27 they obtain a test statistic of t =-1.43. What is the corresponding P-value? Round to 4 decimal places. P = 0.0805 X (b) Researchers perform a hypothesis test with hypotheses Ηρ: μ =64 and Η: μ ≠64. From a sample of size n =22 they obtain a test statistic of t =-0.64. What is the corresponding P-value? Round to 4 decimal places. P = 0.5308 X (c) Researchers perform a hypothesis test with hypotheses Ηο: μ =79 and Ηα: μ +79. From a sample of size n = 13 they obtain a test statistic of t =1.76. What is the corresponding P-value? Round to 4 decimal places. P = 0.1471 X (d) Researchers perform a hypothesis test with hypotheses Ηο: μ =87 and Η: μ >87. From a sample of size n = 19 they obtain a test statistic of t =2.23. What is the corresponding P-value? Round to 4 decimal places. P = 0.014 X
Added by Tina T.
Close
Step 1
Step 1: The P-value is the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. Show more…
Show all steps
Your feedback will help us improve your experience
Roee Shalom and 77 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Roee S.
An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and T test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. a) HA:μ≠μ0,n=11,T=1.91 The p-value is Based on the p-value, we should fail to reject the null hypothesis. accept the null hypothesis. reject the null hypothesis. b) HA:μ≠μ0,n=17,T=−3.45 The p-value is Based on the p-value, we should accept the null hypothesis. reject the null hypothesis. fail to reject the null hypothesis. c) HA:μ≠μ0,n=7,T=0.83 The p-value is Based on the p-value, we should fail to reject the null hypothesis. accept the null hypothesis. reject the null hypothesis. d) HA:μ≠μ0,n=28,T=−2.13 The p-value is Based on the p-value, we should fail to reject the null hypothesis. accept the null hypothesis. reject the null hypothesis.
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD