Which of the following terms describes when the null hypothesis is NOT rejected when it should be rejected (2 points) Significance level, Type I error Type II error p Value Alternative hypothesis 2 (06 01 LC) A hypothesis test is conducted with a significance level of 5 The alternative hypothesis states that more than 12 of a population is left handed The p value for the test is calculated to be 0 23 Which of the following statements is correct (2 points) We can conclude that more than 12 of the population is left handed We cannot conclude that more than 12 of the population is left handed We can conclude that more than 23 of the population is left handed We can conclude that exactly 23 of the population is left handed There is not enough information given to make a conclusion 3 (06 02 MC) Which of the following increases the power of a significance test (2 points) Increase Decrease the sample size Decrease the p value I only II only III only I and II only I, II, and III 4 (06 02 MC) A local doctor's office notices that about 8 of its patients are allergic to a certain medication A medical research center has developed an alternative medication and suggests the doctor try it to determine whether the new medicine lowers the number of patients who have an allergic reaction The new drug is quite expensive, so the research center offers a free, one year trial period to determine whether the number of allergic reactions decreases If it works, the doctor's office will pay for continued use of the medication What would happen if the doctor makes a Type II error (2 points) Claim the new medication decreases the number of patients who have an allergic reaction, when it does decrease the number Claim the new medication decreases the number of patients who have an allergic reaction, when it does not decrease the number Claim that the new medication does not decrease the number of patients who have an allergic reaction, when it does decrease the number Claim the new medication does not decrease the number of patients who have an allergic reaction, when it does not decrease the number Claim the new medication increases the number of patients who have an allergic reaction, when it decreases the number 5 (06 02 HC) Mars candy company is testing one of its machines in the factory to make sure it is producing more than 98 high quality candy (H 0 p 0 98 H a p 0 98 0 05) The test results in a p value of 0 15 However, the company is unaware that it is actually producing 99 high quality candy What MOST likely happens as a result of the testing (2 points) The company rejects H 0 , making a Type I error The company fails to reject H 0 , making a Type II error The company rejects H 0 , making a Type II error The company fails to reject H 0 , making a Type I error The company rejects H 0 correctly 6 (06 02 MC) A large company is being sued for gender discrimination because 20 of newly hired candidates are women when 40 of all applicants were women You plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory Part A State the null and alternative hypotheses for the significance test (2 points) Part B In the context of the problem, what would a Type I error be A Type II error (2 points) Part C If the hypothesis is tested at a 1 level of significance instead of 5 , how will this affect the power of the test (3 points) Part D If the hypothesis is tested based on the hiring of 1,000 employees rather than 100 employees, how will this affect the power of the test (3 points) 7 (06 01 MC) A manufacturer of a new medication on the market for Parkinson's disease makes a claim that the medication is effective in 75 of people who have the disease One hundred fifty individuals with Parkinson's disease are given the medication, and 100 of them note the medication was effective Does this finding provide statistical evidence at the 0 05 level that the effectiveness is less than the 75 claim the company made Make sure to include parameter, conditions, calculations, and a conclusion in your answer (10 points)

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Which of the following terms describes when the null hypothesis is NOT rejected when it should be rejected? (2 points) Significance level, Type I error

Which of the following terms describes when the null hypothesis is NOT rejected when it should be rejected? (2 points)

	Significance level,
	Type I error
	Type II error
	p-Value
	Alternative hypothesis

(06.01 LC) A hypothesis test is conducted with a significance level of 5%. The alternative hypothesis states that more than 12% of a population is left-handed. The p-value for the test is calculated to be 0.23. Which of the following statements is correct? (2 points)

	We can conclude that more than 12% of the population is left-handed.
	We cannot conclude that more than 12% of the population is left-handed.
	We can conclude that more than 23% of the population is left-handed.
	We can conclude that exactly 23% of the population is left-handed.
	There is not enough information given to make a conclusion.

(06.02 MC) Which of the following increases the power of a significance test?(2 points)

Increase
Decrease the sample size
Decrease the p-value

	I only
	II only
	III only
	I and II only
	I, II, and III

(06.02 MC) A local doctor's office notices that about 8% of its patients are allergic to a certain medication. A medical research center has developed an alternative medication and suggests the doctor try it to determine whether the new medicine lowers the number of patients who have an allergic reaction. The new drug is quite expensive, so the research center offers a free, one-year trial period to determine whether the number of allergic reactions decreases. If it works, the doctor's office will pay for continued use of the medication. What would happen if the doctor makes a Type II error? (2 points)

	Claim the new medication decreases the number of patients who have an allergic reaction, when it does decrease the number.
	Claim the new medication decreases the number of patients who have an allergic reaction, when it does not decrease the number.
	Claim that the new medication does not decrease the number of patients who have an allergic reaction, when it does decrease the number.
	Claim the new medication does not decrease the number of patients who have an allergic reaction, when it does not decrease the number.
	Claim the new medication increases the number of patients who have an allergic reaction, when it decreases the number.

(06.02 HC) Mars candy company is testing one of its machines in the factory to make sure it is producing more than 98% high-quality candy (H₀: p = 0.98; H_a: p > 0.98; = 0.05). The test results in a p-value of 0.15. However, the company is unaware that it is actually producing 99% high-quality candy. What MOST likely happens as a result of the testing? (2 points)

	The company rejects H₀, making a Type I error.
	The company fails to reject H₀, making a Type II error.
	The company rejects H₀, making a Type II error.
	The company fails to reject H₀, making a Type I error.
	The company rejects H₀ correctly.

(06.02 MC) A large company is being sued for gender discrimination because 20% of newly hired candidates are women when 40% of all applicants were women. You plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory. Part A: State the null and alternative hypotheses for the significance test. (2 points) Part B: In the context of the problem, what would a Type I error be? A Type II error? (2 points) Part C: If the hypothesis is tested at a 1% level of significance instead of 5%, how will this affect the power of the test? (3 points) Part D: If the hypothesis is tested based on the hiring of 1,000 employees rather than 100 employees, how will this affect the power of the test? (3 points)

(06.01 MC) A manufacturer of a new medication on the market for Parkinson's disease makes a claim that the medication is effective in 75% of people who have the disease. One hundred fifty individuals with Parkinson's disease are given the medication, and 100 of them note the medication was effective. Does this finding provide statistical evidence at the 0.05 level that the effectiveness is less than the 75% claim the company made? Make sure to include parameter, conditions, calculations, and a conclusion in your answer. (10 points)