Ho: H1 – 42 = 0 Ha: H1 – 42 +0 following results are for two independent samples taken from two populations. el File: data10-03.xlsx Sample 1 Sample 2 nį = 80 n2 = 70 = 104 E2 = 106 01 = 8.4 02 = 7.6
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Consider the following hypothesis test.
The following results are for two independent samples taken from two populations.
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- A researcher hypothesized that score differed between the first and the last rounds of major U.S. golf tournaments. Here are the paired data for randomly selected golfers from the 2021 U.S. Open. At the 0.05 level of significance , is there a difference? The score of major golf tournaments Golfer 1 3 4 5 6 Round 1 185 178 175 183 193 173 Round 2 171 180 173 175 188 178 The hypothesis test is as following: Ho: Hd = 0 H1: µd #0 Test statistic t Hint: Find d-bar and Sd, then find the test statistic.Test the claim that the proportion of men who own cats is significantly different than 70% at the 0.1 significance level.The null and alternative hypothesis would be: a.) H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 b.)H0:μ=0.7H0:μ=0.7H1:μ>0.7H1:μ>0.7 C.) H0:μ=0.7H0:μ=0.7H1:μ<0.7H1:μ<0.7 D.) H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 E.) H0:p=0.7H0:p=0.7H1:p>0.7H1:p>0.7 F.) H0:p=0.7H0:p=0.7H1:p<0.7H1:p<0.7 The test is: A.)two-tailed B.)right-tailed C.)left-tailed Based on a sample of 30 people, 61% owned catsThe test statistic is: (to 2 decimals) = The positive critical value is: (to 2 decimals)=Based on this we: a.)Fail to reject the null hypothesis B.)Reject the null hypothesisSuppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly larger than 70% at a significance level of a= 0.01. According to your sample, 59 out of 77 potential voters prefer Candidate A. 1. For this study, we should use Select an answer es 2. The null and alternative hypotheses would be: Ho: 2 vselect an answer v (please enter a decimal) H:? vSelect an answer v (Please enter a decimal) nces rations 3. The test statistic- (please show your answer to 3 decimal places.) Drive 4. The p-value = (Please show your answer to 4 decimal places.) 65 5. The p-value is Select an answer Ma t Course ions 6. Based on this, we should Select an answer v the null hypothesis. 7. As such, the final conclusion is that ... O The sample data suggest that the population proportion is not significantly larger than 70% at a 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is larger than 70%. O The sample data…Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.In her book Red Ink Behaviors, Jean Hollands reports on the assessment of leading Silicon Valley companies regarding a manager's lost time due to inappropriate behavior of employees. Consider the following independent random variables. The first variable x1 measures manager's hours per week lost due to hot tempers, flaming e-mails, and general unproductive tensions. x1: 1 5 8 4 2 4 10 The variable x2 measures manager's hours per week lost due to disputes regarding technical workers' superior attitudes that their colleagues are "dumb and dispensable". x2: 8 5 2 5 9 4 10 3 Use a calculator with sample mean and sample standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.) (b) Find a…
- Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
- Three students, an athlete, a fraternity member, and an honors student, record the number of hours they slept each night for 20 nights. O JMP Applet imp ? Oneway Analysis of Sleep Hours By Student Oneway Analysis of Sleep Hours By Student 10 Oneway Anova 14 Summary of Fit 12 Rsquare 0.024506 10- Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) -0.00072 1.99517 7.7 60 Analysis of Variance Sum of Mean F Prob > Source DF Squares Square Ratio F 2 Athiete Frat Honors Student 2 5.70000 2.85000 0.7180 0.4931 Student Error 57 226.90000 3.98070 C. Total 59 232.60000 Oneway Anova Means for Oneway Anova Std Lower Upper 95% Summary of Fit Level Number Mean Error 95% Athlete 20 8.10000 0.44813 7.2086 8.9934 Rsquare 0.024506 Frat 20 7.65000 0.44813 6.7588 8.5434 Adj Rsquare Root Mean Square Error Mean of Response Observations (or Sum Wgts) -0.00972 Honors 20 7.35000 0.44813 6.4586 8.2434 1.99517 Std Error uses a pooled estimate of error variance 7.7 60 Analysis of…The Mann-Whitney U test is used to compare two independent samples. Given the following data, use the Mann-Whitney U test to determine if there is a significant difference between the two sets of scores: Sample 1: 2, 4, 5, 7, 8 Sample 2: 1, 3, 4, 5, 6 What is the U statistic for this data and is there a significant difference between the two samples?