The following 3x 3 contingency table contains observed 2. frequencies for a sample of 240. Column Variable Row Variable A 20 30 30 20 25 30 60 10 15 a. State null and alternative hypotheses to test for independence of the row and column variables. b. What are expected frequencies for each item?| c. What is the value of test statistic? d. Using a = 0.05 . What is the degree of freedom? What is the p-value? Using the p-value approach, what is your conclusion? |
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- Is Friday the 13th Unlucky? The table shows the number of hospital admissions for Friday the 6th and Friday the 13th. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th.(Be sure to subtract in the same direction). Friday 6th Friday 13th Difference 4 2 6 10 5 6 9 13 3 2 11 15 12 12 What are the correct hypotheses? (Select the correct symbols and values.)H0: Select an answer μ₁ μ(d) x̄₂ σ₁² x̄₁ s₁² p μ ? = < ≤ ≠ > ≥ Select an answer 0 μ₁ μ₂ x̄₁ p σ₁² s₁² x̄₂ μ H1: Select an answer x̄₂ μ₁ μ p μ₂ x̄₁ s₂² μ(d) σ₂² ? < ≥ ≠ = ≤ > Select an answer μ x̄₂ s₁² x̄₁ p 0 μ₂ σ₁² μ₁ Original Claim = Select an answer H₀ H₁ df = Based on the hypotheses, find the following: Test Statistic = (Round to three decimal places.)Critical value(s) = ±± (Round to three decimal places.)p-value = (Round…Which samples show unequal variances? Use a = .10 in all tests. Show the critical values and degrees of freedom clearly and illustrate the decision rule. s1 = 10.2, n1 = 22, s2 = 6.4, n2 = 16, two-tailed test s1 = .89, n1 = 25, s2 = .67, n2 = 18, right tailed test s1 = 124, n1 = 12, s2 = 260, n2 = 10, left-tailed testYou intend to conduct a test of homogeneity for a contingency table with 8 categories in the column variable and 6 categories in the row variable. You collect data from 373 subjects. What are the degrees of freedom for the x distribution for this test? d.f. = Submit Question Ghp
- A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.08, and there is reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.48, and computes the standard deviation of the sample to be $1.25. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: u is [? |H: u is ? ? In the context of this test, what is a Type II error? A Type II error is ? v the hypothesis that u is ? when, in fact, u is ? Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? ?2. Interpret this data.When three groups were compared using the one-way Analysis of Variance (ANOVA), the result turned out to be significant, that is, the null hypothesis was rejected. What will be the appropriate interpretation of this result?A. All three groups significantly differ in means.B. Exactly two of the three groups significantly differ.C. At least two of the three groups significantly differ in means.D. All three groups have the same effect on the dependent variable.
- A researcher finds the following sample values: 2, 8, 6, 2, 7, 3, 4, 4, 5, 6, 7 At the .03 level, is there evidence to indicate the mean differs from the population mean of 2.15? 1. Critical Value (start with negative and separate with a comma if there are 2) 2. Test statistic 3. 3-decimal p-Value 4. Where is the test statistic on the graph Put: L-Left, M-Middle, R-RightConsider the following two datasets: A = { 5 , 23 , 8 , 12 , 4 , 21 } and B = { 20 , 10 , 16 , 1 , 18 , 8 , 4 } . select all correct options The sample medians of the datasets are equal. The sample means of the datasets are not equal The sample means of the datasets are equal. The ranges of the datasets are equal. The sample medians of the datasets are not equal.Which statement best represents the logic of a one way analysis of variance which also called ANOVA which is also called the F test? A. Under the null, The population means are equal to each other, so any difference in sample means will register as significant difference B. Under the null, at least one mean is different from the others, so if this condition is met with the data, it will register as a significant difference C. Under the null, The means are assumed to be equal; as a result the between group variance will equal the within group variance ; if the calculated SSbetween is sufficiently larger than SSbetween this would suggest the between group variation is larger than within group variation and indicate there is a significant difference amount the means D. Under the null, the means are assumed to be equal, as a result, the within group variance will be larger than the between group variance and this will be revealed by a significant F, which would indicate that the…
- give an example of a study for which the independent sample t-test is appropiateIs Friday the 13th Unlucky? The table shows the number of hospital admissions for Friday the 6th and Friday the 13th. Assume that the two samples are randomly selected. At the 0.05 significance level, test the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th.(Be sure to subtract in the same direction). Friday 6th Friday 13th Difference 4 2 6 10 5 6 9 13 3 2 11 15 12 12A researcher believe that increasing attention given to children will improve academic performance. He invites parents to volunteer during school to help the children with their activities. At the end of the school year he compares the academic performance of these children with the mean and standard deviation of historical rate on academic achievement. Which statistic test is appropriate for this study and why? (By using the decision tree). A. Z test B. Single sample t test C. Two independent samples t test D. Two related samples t test E. One way between subjects ANOVA F. Correlation