Question

QUESTION 1

1. A Type II error occurs when we ________.

   		reject the null hypothesis when it is actually true
   		reject the null hypothesis when it is actually false
   		do not reject the null hypothesis when it is actually false
   		do not reject the null hypothesis when it is actually true

QUESTION 2

1. A lower level of significance makes it harder to reject the null hypothesis.

   True

   False

QUESTION 3

1. A professional sports organization is going to implement a test for steroids. The test gives a positive reaction in 94% of the people who have taken the steroid. However, it erroneously gives a positive reaction in 4% of the people who have not taken the steroid. What is the probability of Type I and Type II errors giving the null hypothesis "the individual has not taken steroids."

   		Type I: 4%, Type II: 6%
   		Type I: 4%, Type II: 94%
   		Type I: 6%, Type II: 4%
   		Type I: 94%, Type II: 4%

QUESTION 4

1. A situation where both the null and alternative hypotheses are simultaneously true is called Wilson's paradox.

   True

   False

QUESTION 5

1. An independent samples t test has _______ degrees of freedom.

   		n - 2
   		n
   		n - k
   		n - 1

QUESTION 6

1. Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.
   
   A cereal company claims that the mean weight of the cereal in its packets is 14 oz. Identify the type I error for the test.

   		Fail to reject the claim that the mean weight is 14 oz when it is actually different from 14 oz.
   		Reject the claim that the mean weight is 14 oz when it is actually greater than 14 oz.
   		Reject the claim that the mean weight is 14 oz when it is actually 14 oz.
   		Reject the claim that the mean weight is different from 14 oz when it is actually 14 oz.

Answer 1

QUESTION 1

A Type II error occurs when we ________

do not reject the null hypothesis when it is actually false

Question 2

A lower level of significance makes it harder to reject the null hypothesis.

False

QUESTION 3

A professional sports organization is going to implement a test for steroids. The test gives a positive reaction in 94% of the people who have taken the steroid. However, it erroneously gives a positive reaction in 4% of the people who have not taken the steroid. What is the probability of Type I and Type II errors giving the null hypothesis "the individual has not taken steroids."

answer is : Type I error is 0.6 and type II error is 0.4

QUESTION 4

A situation where both the null and alternative hypotheses are simultaneously true is called Wilson's paradox.

False

both can not be true at a same time

QUESTION 5

An independent samples t test has _______ degrees of freedom

answer : n - 2 where n = n1+n2

QUESTION 6

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.

A cereal company claims that the mean weight of the cereal in its packets is 14 oz. Identify the type I error for the test.

Reject the claim that the mean weight is 14 oz when it is actually 14 oz.