Consider the following hypothesis from a sample of 22 observations that has the value t 2.24:2.Haiu>8aWhat are the degrees of freedom for this statistic?b.Give the two critical values t* from t Distribution table that bracket t. Between what two values does the P-value of the test fall?c.Is the value t 2.24 statistically significant at the 5% level? Is it statistically significant atd.the 1% level?Use Stata to find the exact P-value. What is the exact Stata command you used to find theexact P-value? [Hint: ttail]e.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10
Consider the hypothesis statement shown below using α=0.01 and the data to the right from two independent samples. H0: μ1−μ2=0 H1: μ1−μ2≠0 a) Calculate the appropriate test statistic and interpret the result. b) Calculate the p-value and interpret the result. x1 = 237 x2 = 258 σ1 = 48 σ2 = 55 n1 = 43 n2 = 37
Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 **THAT A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). *What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05?
If the t values in the table for a t-test are ± 2.15 at alpha level 0.05, which of following computed t value is needed in order to reject the null hypothesis? Group of answer choices – 2.35 – 1.35 1.35 2.1
Refer to Exercise 8.S.1. Compare the before and after populations using a t test at α = 0.05. Use a nondirectional alternative.
Consider the following hypothesis statement using α=0.10 and the following data from two independent samples. Complete parts a and b below. H0: p1−p2≥0 x1=74 x2=76 H1: p1−p2<0 n1=125 n2=170 a. Calculate the appropriate test statistic and interpret the result. What is the test statistic? What is/are the critical value(s)? b. Calculate the p-value and interpret the result. What is the p-value?
The following data were obtained from a two-factor independent-measures experiment with n=10 participants in each treatment condition. B1 B2 A1 M=4 T=50 SS=20 M=7 T=20 SS=28 A2 M=1 T=20 SS=12 M=4 T=30 SS-20 a. Calculate degrees of freedom and locate the critical region for each of the three tests (a=.05) b. Calculate the three F-ratios c. State the conclusion for each test.
Consider a sample of n = 114 women drawn randomly from the membership list of the National Organization for Women (N.O.W.), x = 24 of whom were found to smoke. Use the result of this sample to test whether the rate found is significantly different from the United States proportion of 0.31 for women and provide the z-statistic value below.
A researcher conducts an independent samples t-test comparing two treatments, and reports the following data: Sample 1 Sample 2 M = 8 M = 18 SS = 100 SS = 50 n = 5 n = 5 Which of the following correctly lists the calculated test statistic value along with the appropriate conclusion using an alpha level of .05, two-tails? a. t = 3.65, Fail to reject Ho b. t = 3.65, Reject Ho c. t = 2.308, Fail to reject Ho d. t = 2.308, Reject Ho A researcher wants to know if there is a relationship between gender and the likelihood of being a psychology major. A sample of n=200 participants is surveyed and the observed results are presented in the table below. Male Female Yes 20 70 No 80 30 Which of the following lists the appropriate statistical analysis for this question and data? a. independent-samples t-test b. repeated-measures t-test c. Chi-square test d. ANOVA
Dr. Stevenson reported the following in a journal: “F (4, 106) = 10.09, p = .04.” Should Dr. Stevenson state that there are significant differences among the variable means at a .01 alpha level?
The test statistic of z = 1.42 is obtained when testing the claim that p>0.1. A.identify the phyothesis test as being two-tailed, left-tailed, or right-tailed. B.find the p-value. C. Using a significance level of o=0.05, should we reject H0 or should we fail to reject H0?
Which of the following can cause the usual OLS t statistics to be invalid (that is, not to have t distributions under H0)?(i) Heteroskedasticity.(ii) A sample correlation coefficient of .95 between two independent variables that are in the model.(iii) Omitting an important explanatory variable.

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