What is the null hypothesis in the Wilcoxon Signed-Ranks Test?
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Q: What distributional assumption must be met in order to use the Wilcoxon signed-rank test?
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Q: An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans…
A: The null and alternative hypothesisH0:p=0.45Ha:p0.45sample size(n)=80x=30sample proportion()=
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Q: What is the interpretation of the results from the Wilcoxon Signed-Ranks Test?
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Q: An article in the Washington Post on March 16, 1993, stated that nearly 45 percent of all Americans…
A: Given,n=82x=30p^=xnp^=3082=0.366H0:p=0.45Ha:p≠0.45
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Q: What is the formula used to calculate the Wilcoxon Signed-Rank test statistic?
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- An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A random sample of n=84 C of I students found 31 with brown eyes.We test H0:p=.45Ha:p≠.45 (a) What is the z-statistic for this test? (b) What is the P-value of the test?Calculate the value of the unpooled test statistic t in each of the following situations. In each case, assume the null hypothesis is Ho: H, - H, = 0. (Ro (a) x, = 38, s, = 8, n, = 64; x2 = 36, s2 = 7, n, = 49 t = (b) The difference in sample means is 43, s.e.(x, - x2) = 27.The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. In order to calculate the t statistic, you first need to calculate the estimated standard error. The estimated standard error SM = (round to four decimals)
- You are conducting a test of independence for the daim that there is an association between the row variable and the column variable. Red Blue Green Male 23 35 25 Female 23 13 60 What is the chi-square test-statistic and the corresponding p-value for this data? x² - [three decimal accuracy] p-value [three decimal accuracy]In an early home game, an NBA team made 66 of their 100 free throw attempts. In one of theirlast home games, the team made 68 of 90 attempts. At α = .10, did the team significantlyimprove its free throw percentage (left-tailed test)?Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test. The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4. If you are doing the test with α = .01, and two tails, what would he correct t-critical be?
- The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. In order to calculate the t statistic, you first need to calculate the estimated standard error. The estimated standard error SM= (round to four decimals)You are presented with the offspring of the yellow body, medium bristled X yellow body, medium bristled cross, and asked to use the x² test to determine whether the observed data meet the expectations you generated in #3. The null hypothesis is that the offspring occur in frequencies that correspond the inheritance of a recessive lethal allele at the Y gene and two incompletely dominant alleles at the B gene. Answer the following questions to address this request: a. What are the degrees of freedom for this test? Write your answer here: b. Assuming a p-value cut-off of 0.05, what is the critical value that you will use to evaluate your hypothesis? You will need to refer to table 3.7 in your book or in the slides. Write your answer here: c. After completing the x? test, your x2 value is 8.429. Do you reject or fail to reject the null hypothesis? Why?When should the Wilcoxon Signed-Rank test be used instead of a paired t-test?
- A sociologist wishes to study whether the rank attained by officers in the New York City Police Department (NYPD) is related to gender. Data have been collected for both male and female officers in NYPD. The summary data and test for independence results from StatCrunch are given below. At a= 0.05 level of significance, draw a conclusion about whether these data indicate that the rank of the officer is independent of gender.(a) Is this an observational study or experiment?(b) What are the explanatory and response variables, respectively?Explanatory variable:Response variable:(c) Write down the null and alternative hypotheses of the test for independence.Contingency table results:Rows: RANKColumns: GENDER male female total officer 21900 4281 26181 detective 4058 806 4864 sergeant 3898 415 4313 lieutenant 1333 89 1422 captain 359 12 371 higher ranks 218 10 228 total 31766 5613 37379A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1100n=1100 registered voters and found that 570 would vote for the Republican candidate. Let pp represent the proportion of registered voters in the state who would vote for the Republican candidate.We test H0:p=.50H0:p=.50Ha:p>.50Ha:p>.50 (a) What is the zz-statistic for this test? (b) What is the P-value of the test?Does training in stress reduction make a difference for student success? 15 students received training (M1= 88, SS1= 400) and 15 students did not (M2= 82, SS2= 440). Test using α = .05 Which is the null hypothesis, H0?