Which of the following plots is a representation of the Wasserstein test statistic for the hypothesis Ho: F(x) = G(y)? O
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Here, we have to find the correct plot which represents the wasserstein test statistic for
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- Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = 88.5 ounces. H1:μ < 88.5 ounces. 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=.10.Which of the following would be strong evidence for a researcher’s hypothesis? A. a small P-value B. a large P-value C. a t test statistic close to zero D. Both A and C.If I increased a in my statistical test for parameter 0, which of the following would be true? (select all that apply) A. Type I error increases B. Type II error increases C. Power increases D. Var(0) decreases Which of the following increases the power of a statistical test? (select all that apply) A. raising the sample size B. lowering a C. the value of the true parameter being closer to the null D. decreasing test sensitivity
- Consider the following null and alternative hypotheses for testing whether the average GPA of university students is different than 3.2. H0:u = 3.2 Ha:u not= 3.2 In this case, the consequence of Type I error is... a. assuming university students have a GPA equal to 3.2, when in fact it is not equal to 3.2. b. assuming university students have a lower GPA than 3.2, when in fact it is equal to 3.2. c. assuming university students have a higher GPA than 3.2, when in fact it is equal to 3.2. d. assuming university students have a GPA not equal to 3.2, when in fact it is equal to 3.2.A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (32%), Married (53.7%), Widowed (2.9%), Divorced (11.4%). The table below shows the results of a random sample of 1712 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 539 Married 918 Widowed 74 Divorced 181 b. W is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: O The distribution of marital status in California is not the same as it is nationally. O Marital status and residency are independent. O The distribution of marital status in California is the same as it is nationally. O Marital status and residency are dependent. H₁: OThe…For the following, please consider the model Y = α + βX + ε. Using nine observations and OLS; the following results are obtained with t-statistics shown within parentheses under the null hypothesis that H0: α = 0 and β = 0. Y = 17.6 + 3.8 X (1.92) (2.35) 1)R 2 = 0.58, F = 5.52, mean of Y = 22 and the mean of X = 11.The estimated slope coefficient indicates....? 2)Testing the null hypothesis that H0: β=0 against the alternative hypothesis that....?Ha: β≠0 at the 5% significance level, we find the critical value of the test statistic is what? 3) What is the conlusion regarding the above hypothesis at the 5% significance level 4)What does the R2 statistic indicate? 5) The critical value for the F-statistic (at the 5% significance level) is what? 6) The F-statistic allows us to conclude (at the 5% significance level) that?..
- You are conducting a study to see if the average male life expectancy is significantly different from 82. If your null and alternative hypothesis are:H0:μ=82H1:μ≠82Then the test is: two tailed left tailed right tailedFor each of the following scenarios, select the test (from the choices below), that is most appropriate for analyzing the data. a) Z-test b) One-sample t-test c) Independent t-test d) Dependent t-test e) 1-Way ANOVA f) Regression/Correlation g) Chi-Square 1. A psychologist wants to know if children with a schizophrenic parent are less well-adjusted than the general population, so she gives 20 children of schizophrenics a measure of psychological adjustment which has a mean of 35 in the general population. 2. A researcher wants to know if 5-yr-old boys and girls differ in their social skills. He recruits 30 brother and sister pairs and administers a social skills inventory with scores that can range from 0 to 80. 3. A sample of 60 children are asked to choose their favorite toy among 3 options (stuffed bear, stuffed dog, stuffed cat). Do children prefer these 3 toys equally?Which is not a step in hypothesis testing? A. Determine or establish alpha B. Determine or establish beta C. Calulate or look up the critical value(s) D. Calculate the test statistic E. All of the above F. None of the above
- Use the following sample data to answer the next questions. At the same time each day, a researcher records the temperature in each of three greenhouses. The table shows the temperatures in degrees Fahrenheit recorded for one week. Answer the ANOVA hypothesis steps below. (α= 0.025) Greenhouse 1 Greenhouse 2 Greenhouse 3 73 71 67 72 69 84 73 70 85 66 77 73 86 75 85 71 65 80 72 73 75 70 71 84 H0: Ha: F value: F-critical value: p-value: Conclusion: (Example answer: Reject or Fail to reject)Consider the following hypothesis test for the mean difference. (Give your answers correct to four decimal places.) (a) Determine the p-value for Ho: ?d = 0 and Ha: ?d > 0, with n = 24 and t = 1.81.(b) Determine the p-value for Ho: ?d = 0 and Ha: ?d ≠ 0, with n = 23 and t = -1.89.(c) Determine the p-value for Ho: ?d = 0 and Ha: ?d < 0, with n = 27 and t = -2.68.(d) Determine the p-value for Ho: ?d = 0.75 and Ha: ?d > 0.75, with n = 13 and t = 3.59(d) Use a t-test to test if the relationship between years of experience and income is statistically significant at the 0.05 level of significance. State the null and alternative hypotheses. O Ho: B₁ ≥ 0 H₂: B₁< < 0 Ho: B₁ = 0 Ha: B₁ * 0 O Ho: B₁ * 0 Ha: B₁ = 0 о ново = 0 Ha: Bo # 0 Ho Bo # 0 Ha: Bo Find the value of the test statistic for the t-test. (Round your answer to three decimal places.) = = 0 Find the p-value. (Round your answer to four decimal places.) p-value What is your conclusion? O Reject Ho. We conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We conclude that the relationship between years of experience and income is significant. (e) Calculate the coefficient of determination. (Round your…