Worksheet #11 – Introduction to Hypothesis Testing (10.1) 1. The following chart shows the four possible outcomes of a hypothesis test. Decision Reality Fail to Reject Null Hypothesis Reject Null Hypothesis Туре I error False positive Correct! Null Hypothesis is true Null is true and was not rejected Туре II error False negative Correct! Null Hypothesis is false Null is false and was rejected Using the courtroom analogy discussed in the weekly Overview, fill in the rest of the chart below with words corresponding to that analogy. For example, "fail to reject the null hypothesis" is the same thing as "declare the defendant not guilty." That box has been filled in for you to help you get started. Note that the two errors are "convict an innocent person" and "allow a guilty person to go free." It is your job to figure out which one of those corresponds with the Type I error and which one corresponds with the Type II error. Decision Reality Declare the defendant not guilty

Worksheet #11 – Introduction to Hypothesis Testing (10.1) 1. The following chart shows the four possible outcomes of a hypothesis test. Decision Reality Fail to Reject Null Hypothesis Reject Null Hypothesis Туре I error False positive Correct! Null Hypothesis is true Null is true and was not rejected Туре II error False negative Correct! Null Hypothesis is false Null is false and was rejected Using the courtroom analogy discussed in the weekly Overview, fill in the rest of the chart below with words corresponding to that analogy. For example, "fail to reject the null hypothesis" is the same thing as "declare the defendant not guilty." That box has been filled in for you to help you get started. Note that the two errors are "convict an innocent person" and "allow a guilty person to go free." It is your job to figure out which one of those corresponds with the Type I error and which one corresponds with the Type II error. Decision Reality Declare the defendant not guilty

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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A company manager wants to compare the satisfaction levels of his customers from two stores belonging to his company. According to his research, 249 out of 300 people are satisfied with shop A, and 348 out of 400 people are satisfied with shop B. Which of the following hypothesis states that there is a significant difference between customer satisfaction levels? H0 : P1 < P2, H1 : P1 ≥ P2 H0 : P1 ≥ P2, H1 : P1 < P2 H0 : P1 > P2, H1 : P1 < P2 H0 : P1 = P2, H1 : P1 ≠ P2 H0 : P1 ≠ P2, H1 : P1 < P2
(a) A marketing department employs two categories of BBA graduates; from among fresh graduates and among those with work experience. Those with work experience claim that they do better because of their experience. Suppose you are interested to test whether the two groups’ performance is the same. (i) Write down the null hypothesis and the alternative hypothesis in order to run the above test (in words and in notation) (ii) Explain how you would run the test if you have access to a sample of sales performance figures of the employees in each of the two groups
An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric vehicle. The following is the setup for this hypothesis test: H0:p=0.65 Ha:p>0.65 In this example, the p-value was determined to be 0.026.
An economist claims that the proportion of people who plan to purchase a fully electric vehicle as their next car is greater than 65%. To test this claim, a random sample of 750 people are asked if they plan to purchase a fully electric vehicle as their next car Of these 750 people, 513 indicate that they do plan to purchase an electric vehicle. The following is the setup for this hypothesis test: H0:p=0.65 Ha:p<0.65 In this example, the p-value was determined to be 0.026. Come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%.) Select the correct answer below: A. The decision is to reject the Null Hypothesis.The conclusion is that there is enough evidence to support the claim. B. The decision is to fail to reject the Null Hypothesis.The conclusion is that there is not enough evidence to support the claim.
If you use a 0.05 level of significance in a two tail hypothesis test, what decision will you make if z = +2.21?
When is a researcher at risk of making a Type II error? a. whenever H1 is rejected b. whenever H0 fails to be rejected c. whenever H0 is rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.
A teacher is comparing the mena study time of his freshmen and senior students. He believes that his senior students spend more time studyin per week than his freshmen studnet and decides to perform a hypothesis test on his belief. a. Suppose the decision of the hypothesis test is to reject the null hypothesis. If, in realiry, treshmen study for a mean of 10 hours per week and seniors study for a mena of 15 hours per week, was an error made? if so, what type? b. Suppose the decision of the hypothesis test is to fail to reject the null hypothesis. if, in realiry, freshmen study for a mena of 15 hours per seek and seniors study for a mean of 15 hours per week, was an error made? is so, what type?