1. Select the correct definition of α (alpha) also called your significance level or chance of Type-I error 2. Select the correct definition of the β (Beta) also known as your chance of Type-II error Answer choices: A. The probability of rejecting the null hypothesis when the null hypothesis is false B. The probability of rejecting the null hypothesis when the null hypothesis it is true C. The probability of failing to reject the null hypothesis when the null hypothesis is false D. The probability of failing to reject the null hypothesis when the null hypothesis it is true
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1. Select the correct definition of α (alpha) also called your significance level or chance of Type-I error
2. Select the correct definition of the β (Beta) also known as your chance of Type-II error
Answer choices:
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- Observations from The null hypothesis is Ho: H1 = H, and the alternative hypothesis is as specified. The provided data are from a simple random paired sample from the two populations under consideration. Use the paired t-test to perform the required hypothesis test at the 10% significance level. Pair Population 1 Population 2 24 20 Hai Hy> H2 2 9 10 20 19 E Click the icon to view the t-table. 4. 13 8 5 8 14 14 7 10 15 8 22 28 Find the test statistic. Use population 1- population 2 as the difference. t=| (Round to three decimal places as needed.)For a hypothesis test of the claim that the mean amount of sleep for adults is less than 9 hours, technology output shows that the hypothesis test has power of 0.4242 of supporting the claim that μ<9 hours of sleep when the actual population mean is 7.5 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value. Interpret this value of the power. A. The chance of recognizing that μ<9 hours is not very high when in reality μ=7.5 hours. B. The chance of failing to recognize that μ=7.5 hours is not very high when in reality μ=7.5 hours. C. The chance of recognizing that μ<9 hours is very high when in reality μ=7.5 hours. D. The chance of failing to recognize that μ<9 hours is not very high when in reality μ=7.5 hours.8/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…
- Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 391 pounds. Agriculture scientists believe that the new fertilizer may increase the yield. State the appropriate null and alternate hypotheses. The null hypothesis is Ho:μ (choose one) and Answers The alternate hypothesis is H1:μ (choose one) and AnswersYou are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.14. You use a significance level of α=0.001α=0.001. H0:p=0.14H0:p=0.14 H1:p>0.14H1:p>0.14You obtain a sample of size n=304n=304 in which there are 53 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is more than 0.14. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for…If I calculate a z test statistic of 4.84, and my α=0.05, what decision should I make about the hypothesis? (Calculate the p-value for a 2-sided test to make your decision.)
- Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = $1250. H1:μ ≠ $ 1250 Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.12.If the α-level (alpha level) is made larger, then: Group of answer choices The P-value will be smaller, as well. The hypothesis test will most likely be two-sided. The null hypothesis is less likely to be rejected. The null hypothesis is more likely to be rejected.Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = 890. H1:μ ≠ 890. Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.09.
- A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 68%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 OA two-tailed hypothesis test is being used to evaluate a treatment effect with α = .05. If the sample data produce a z-score of z = 1.65, then what is the correct decision? Select one: a. Fail to reject the null hypothesis and conclude that the treatment has no effect. b. Fail to reject the null hypothesis and conclude that the treatment has an effect. c. Reject the null hypothesis and conclude that the treatment has an effect. d. Reject the null hypothesis and conclude that the treatment has no effect.Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.05 significance level. The null and alternative hypothesis would be: Ho: PN PD Ho:μN ≤ μD Ho: PN ≥ PD Ho:μN ≥ μD H₁:μN = μD Ho: PN = PD Hi:pN>pDH:[N>UD H:pNRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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