Using P-value approach, the statement below will be used when the null hypothesis and alternative hypothesis are: P(t 2 t*) Ho: μ = μο Hai με μο Ο Ha: H = μο Ηο: με μο Ο Ηο: μ = μο Hai μ > μο Ha: μ = μο Ho: μ > μο Ο Ho: Η = μο Ha: μ # μο Ο Hai H = μο Ho: μ # μο
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- When is there a risk of a Type I error? a. The risk of a Type I error is independent from the decision about a hypothesis test b. whenever H0 is rejected c. whenever H1 is rejected d. whenever the decision is "do not reject H0"A research report includes the statement, “ z = 1.18, p > .05.” What happened in the hypothesis test? The obtained sample mean was very likely if the null hypothesis is true, so H0 was rejected. The obtained sample mean was very unlikely if the null hypothesis is true, and the test failed to reject H0. The obtained sample mean was very unlikely if the null hypothesis is true, so H0 was rejected. The obtained sample mean was very likely if the null hypothesis is true, and the test failed to reject H0.13 To perform a hypothesis test, the null and alternative hypotheses for this test are: a H₀: μ ≤ 60 H₁: μ > 60 b H₀: μ ≥ 60 H₁: μ < 60 c H₀: μ < 60 H₁: μ ≥ 60 d H₀: μ > 60 H₁: μ ≤ 60
- When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is "the drug is unsafe." What is the Type II Error? a- The Type II Error would be to claim the drug is unsafe when, in fact, it is unsafe. b- The Type II Error would be to claim the drug is unsafe when, in fact, it is safe. c- The Type II Error would be to claim the drug is safe when, in fact, it is safe. d- The Type II Error would be to claim the drug is safe when, in fact, it is unsafe.Some of the statements below refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the appropriate parameter (μ or p). Private universities' mean tuition cost is more than $20,000 per year. a) H0: p ≤ 20,000, Ha: p > 20,000 b) H0: μ > 20,000, Ha: μ ≤ 20,000 c) H0: p = 20,000, Ha: p ≠ 20,000 d) H0: μ = 20,000, Ha: μ ≠ 20,000 e) H0: p > 20,000, Ha: p ≤ 20,000 f) H0: μ ≤ 20,000, Ha: μ > 20,000 g) H0: p ≥ 20,000, Ha: p < 20,000 h) H0: μ ≥ 20,000, Ha: μ < 20,000Assume the null hypothesis, H0, is: Jake's bungee jumping equipment is safe. Find the Type I error in this scenario. Select the correct answer below: Jake thinks his bungee jumping equipment is not safe when, in fact, it is. Jake thinks his bungee jumping equipment is not safe when, in fact, it is not. Jake thinks his bungee jumping equipment is safe when, in fact, it is not. Jake thinks his bungee jumping equipment is safe when, in fact, it is.
- Some of the statements below refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the appropriate parameter (μ or p). Part 1)About half of Americans prefer to live away from cities, given the choice. a)H0: p ≤ 0.50, Ha: p > 0.50 b)H0: μ = 0.5, Ha: μ ≠ 0.5 c)H0: μ ≠ 0.5, Ha: μ = 0.5 d)H0: p = 0.50, Ha: p ≠ 0.50 e)H0: p ≠ 0.50, Ha: p = 0.50 f)H0: μ ≥ 0.5, Ha: μ < 0.5 g)H0: p ≥ 0.50, Ha: p < 0.50 h)H0: μ ≤ 0.5, Ha: μ > 0.5 Part 2) Europeans have a mean paid vacation each year of six weeks. a) H0: p ≥ 6, Ha: p < 6 b) H0: μ ≥ 6, Ha: μ < 6 c) H0: p = 6, Ha: p ≠ 6 d) H0: μ ≠ 6, Ha: μ = 6 e) H0: μ = 6, Ha: μ ≠ 6 f) H0: p ≠ 6, Ha: p = 6 g) H0: p ≤ 6, Ha: p > 6 h) H0: μ ≤ 6, Ha: μ > 6 Part 3) The chance of developing breast cancer is under 11% for women. a) H0: μ < 11, Ha: μ ≥ 11 b) H0: μ ≥ 11, Ha: μ…Some of the statements below refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the appropriate parameter (μ or p) Part 1) About half of Americans prefer to live away from cities, given the choice. a) H0: p ≤ 0.50, Ha: p > 0.50 b) H0: μ = 1 2 , Ha: μ ≠ 1 2 c) H0: μ ≠ 1 2 , Ha: μ = 1 2 d) H0: p = 0.50, Ha: p ≠ 0.50 e) H0: p ≠ 0.50, Ha: p = 0.50 f) H0: μ ≥ 1 2 , Ha: μ < 1 2 g)H0: p ≥ 0.50, Ha: p < 0.50 h) H0: μ ≤ 1 2 , Ha: μ > 1 2 Part 2) Europeans have a mean paid vacation each year of six weeks. a) H0: p ≥ 6, Ha: p < 6 b) H0: μ ≥ 6, Ha: μ < 6 c) H0: p = 6, Ha: p ≠ 6 d) H0: μ ≠ 6, Ha: μ = 6 e) H0: μ = 6, Ha: μ ≠ 6 f) H0: p ≠ 6, Ha: p = 6 g) H0: p ≤ 6, Ha: p > 6 h) H0: μ ≤ 6, Ha: μ > 6A. Express the null hypothesis H0 and the alternative hypothesis Ha in notation form in the following scenarios. 1. The mean annual income of workers who are college graduates is greater than Php100,000 a year. 2. The percentage of women who watches sports on TV is not 40% as claimed by a researcher. 3. A random sample of 60 working students was taken in order to determine whether the average age of working students is different from 19 years.
- Which statement describes a Type II Error? Fail to reject the null hypothesis H0, when H0 is actually true Reject the null hypothesis H0, when H0 is actually true Fail to reject the null hypothesis H0, when H0H0 is false Reject the null hypothesis H0, when H0 is actually falseAssume the null hypothesis, H0, is: Luke's alarm systems are safe. Find the Type I error in this scenario. Select the correct answer below: Luke thinks his alarm systems are not safe when, in fact, they are. Luke thinks his alarm systems are not safe when, in fact, they are not. Luke thinks his alarm systems are safe when, in fact, they are not. Luke thinks his alarm systems are safe when, in fact, they are.