Please answer the following questions regarding Hypothesis Testing:

a.)A Type 1 error is defined as:

• Rejecting a False Null Hypothesis
• Rejecting a True Null Hypothesis
• Failing to Reject a False Null Hypothesis
• Failing to Reject a True Null Hypothesis

b.)The probability for which a Type 1 error may occur in a hypothesis test is referred to as:

• Z-value
• Test Statistic
• Critical Value
• Level of Significance

c.)A researcher conducts a hypothesis test to evaluate the effect of a treatment. The hypothesis test produces a z-score of z = -2.40. Assuming that the researcher is using a two-tailed test, what is the correct statistical decision?

• The researcher should reject the null hypothesis with either
• = 0.05 or
• = 0.01
• The researcher should reject the null hypothesis with
• = 0.05 but not with
• = 0.01
• The researcher should fail to reject the null hypothesis with either
• = 0.05 or
• = 0.01
• The researcher should fail to reject the null hypothesis with
• = 0.05 but not with
• = 0.01

d.)A hypothesis test produces a t statistic of t = 2.30. If the researcher is using a two-tailed test with

= 0.05 How large does thesample sizehave to be to reject the null hypothesis?

• at least n = 8
• at least n = 9
• at least n = 10
• at least n = 11

e.)Which of the following situations is themost idealfor a researcher to perform a hypothesis test using the Standard Normal distribution as his/her Sampling Distribution.

• is unknown; the population is normal; sample size = 20
• is known; the population is not normal; sample size = 20
• is unknown; the population is normal; sample size = 40
• is known; the population is normal; sample size = 40