) What is the value of the t test statistic t STAT ? b) At the a = 0.05 level of significance, what are the critical values? c) Based on your answers to (a) and (b), what statistical decision should you make?
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You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 10, you determine that r = 0.80.
a) What is the value of the t test statistic t STAT ?
b) At the a = 0.05 level of significance, what are the critical values?
c) Based on your answers to (a) and (b), what statistical decision should you make?
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- The side effects of a new drug are being tested against a placebo. A random sample of 565 patients yields the results in the table below. At a significance level of a = to conclude that the treatment is not causing at least some of the side effects? Hint: Use the Placebo Column as the E, Side-Effect Headache Nausea 0.0465, is there enough evidence Drug Placebo 422 395 111 104 Fatigue Increased Depression 112 Increased Infections 331 354 84 28 13 (a) Find Ho and Ha (b) Find the critical value (c) Find the test value (d) Accept or rejection HoYou are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n= 18, you determine that b, = 5.1 and Sp, =1.3. a. What is the value of tSTAT? b. At the a = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b)., what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, P, hat are the hypotheses to test? H, B, #0 H, P, =0 H P, s0 H, B, >0 H, B, 20 H, P, <0 H B, =0 H, P, +0 ISTAT = Round to two decimal places as needed) b. The lower critical value is The upper critical value is (Round to four decimal places as needed.) c. What statistical decision should you make?A researcher studying air quality in a metropolitan city is interested in testing the claim that less than 20% of people smoke cigarettes to test this claim the researcher collects the following data on a sample of 700 adults and 110 of them smoke cigarettes the following is the data from the study. Sample size= 700 adults Alternative hypothesis= ha:p
- In a 2005 study 2205 adolescents aged 12 - 19 years old were give a treadmill test to check their cardiovascular health. 750 of the subjects were determined to have poor cardiovascular fitness. The researchers want to claim that more than 30% of adolescents have poor cardiovascular health (with a 5% level of significance). The research hypothesis is Ha:p>0.30. Find the test statistic, p-value, and state your conclusion.What are the independent and dependent variables for the following examples? What statistical test would you use for each of the following scenarios? What would you set your alpha-level at? Sally wants to examine whether there is a difference in muscular strength between participants who engaged in an 8-week resistance training program and participants who engaged in an 8-week endurance training program. The participants only took part in one of the 8-week programs, not both. What test would she use to determine whether the differences in muscular strength are significant? Why?5.32 Fuel efficiency of manual and automatic cars, Part I: Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied. City MPG, Automatic City MPG, Manual Mean 16.12 19.85 SD 3.58 4.51 n 26 26 The test statistic is:The p-value is:
- Mark performed a two-sample z-test for proportions to test the hypothesis that there was no difference in the proportion who support increasing student fees between male and female students at a particular university. Mark obtained a z-statistic of 0. Based on this information, which of the following is always true. The sample proportions for male and females will be the same as the hypothesized proportions for male and female students at this university. The sample proportions for both male and female students at this university will be 0. All male and female students in the sample will feel the same way about supporting the increase in student fees. The sample proportions will be the same for both male and female students at this university. Test whether p1>p2 The sample data are x1=116,n1=258,x2=135,n2=311. Conduct a test at the α=0.10 level of significance. Determine the correct null and alternative hypothesis below. Determine the test statistic. Find the P-value: What is…4. Which of the following is used in model fit comparisons? A. Alkaike Information Criterion test B. The R-squared adjusted C. The Bayesian Information Criterion D. All of the above 5. Dr. Musantu conducted an estimation between y (dependent variable) and x (independent variable) in Stata. He obtained 0.332 coefficient of x and standard error of 0.021. What is the value of the t-statistic? A. 14.809 01392 B. 15.809 C. 16.809 D. None of the above 6. Is the above regressor (in question 8) significant at 5% (which gives 1.96 critical values) level of significance? A. No B. Yes 7. In a log-log regression model, what does the slope coefficient measure? A. The elasticity or percentage change of y with respect to a percentage change in x. B. The change in y which the model predicts for a unit change in x. C. The change in x which the model predicts for a unit change in y. D. 100 multiplied by the ratio y/x. 0.021If you collect data from a random sample of 10 students and we would like test for statistical significance at the 0.05 level, what critical r value must be obtained? O .602 O.632 0.708 O .576
- The numbers of online applications from simple random samples of college applications for 2004 and for the 2009 were taken. In 2004, out of 491 applications, 206 of them were completed online. In 2009, out of 268 applications, 145 of them were completed online. Test the claim that the proportion of online applications in 2004 was equal to the proportion of online applications in 2009 at the .10 significance level.Claim: Select an answer p 1 > p 2 u 1≠u 2 p 1≠p 2 u 1 < u 2 p 1 ≥ p 2 u 1 = u 2 p 1 = p 2 u 1 ≥ u 2 p 1 < p 2 p 1 ≤ p 2 u 1 > u 2 u 1 ≤ u 2 which corresponds to Select an answer H1: u 1 < u 2 H0: p 1 ≤ p 2 H1: p 1 > p 2 H0: p 1≠p 2 H1: p 1 < p 2 H1: u 1 > u 2 H1: p 1≠p 2 H1: u 1≠u 2 H0: p 1 = p 2 H0: u 1 ≤ u 2 Opposite: Select an answer u 1 < u 2 u 1 ≤ u 2 p 1 ≥ p 2 p 1 ≤ p 2 p 1 > p 2 p 1 < p 2 u 1 ≠ u 2 p 1 = p 2 u 1 < u 2 u 1 = u 2 u 1 > u 2 p 1≠p 2 which corresponds to Select an answer H1: p 1≠p…Two samples of n = 5 participants each generate the following data. Calculate a t-test score for the difference of these two groups. Group 1 Group 2 2 3 3 3 2 2 2 2 1 2 t(8) = 2.86 t(8) = 2.29 t(8) = 2.5 t(8) = 1.11 Based on the results from the previous question (#7), what is the tcrit and are Group 1 and Group 2 significantly different from each other? Use α = .05, two-tailed test. tcrit = 1.860 Yes, the two groups are significantly different from each other. tcrit = 2.306 Yes, the two groups are significantly different from each other. tcrit = 2.228 Yes, the two groups are significantly different from each other. tcrit = 3.355 No, the two groups are not significantly different from each other.Answer the following to summarize the test of the hypothesis that there is no dependence between the two variables color vision of participant and trial outcome. For your test, use the 0.05 level of significance. a. Find the value of the test statistic. (Round to two or more decimal places.) b. Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) c. Can we reject the hypothesis that there is no dependence between the variables color vision of participant and trial outcome? Use the 0.05 level of significance.