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- Data from the 2014 General Social Survey (GSS) show that out of n=1,606 adult respondents, the proportion who reported having voted for Barack Obama in the 2008 presidential election was 0.61 Q: If I calculate a z test static of 4.84, and my alpha = 0.05, what decision should I make about the hypothesis? (Calculate the p-value for a 2-sided test to make your decision.) Options: A: fail to reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 B: reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 C: Reject the alternative hypothesis that the proportion of American Adults who voted for Obama in 2008 was not equal to 0.55 D: Fail to reject the alternative hypothesis that the proportion of American adults who voted for Obama in 2008 was not equal to 0.55Consider the following null and alternative hypotheses for testing whether the average GPA of university students is different than 3.2. H0:u = 3.2 Ha:u not= 3.2 In this case, the consequence of Type I error is... a. assuming university students have a GPA equal to 3.2, when in fact it is not equal to 3.2. b. assuming university students have a lower GPA than 3.2, when in fact it is equal to 3.2. c. assuming university students have a higher GPA than 3.2, when in fact it is equal to 3.2. d. assuming university students have a GPA not equal to 3.2, when in fact it is equal to 3.2.A sample of n = 16 scores produces a t statistic of t = 2.00. If the sample is used to measure effect size with r2, what value will be obtained for r2?
- Dr. Chapman conducted an experiment in which participants watched paint dry for 30 minutes twice, once being paid $1 and once being paid $30. When comparing the samples, he calculated t = 3.57. He assumed α = .01 with df = 5, so the tcv = ±4.032. Because the calculated value was: A. greater than the critical value, Dr. Chapman can reject the null hypothesis. B. greater than the critical value, Dr. Chapman failed to reject the null hypothesis. C. less than the critical value, Dr. Chapman failed to reject the null hypothesis. D. less than the critical value, Dr. Chapman can reject the null hypothesis.If X1 and X2 constitute a random sample of size n = 2from an exponential population, find the efficiency of 2Y1relative to X, where Y1 is the first order statistic and 2Y1and X are both unbiased estimators of the parameterIf the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistent
- A random sample of 50 students was asked to estimate how much money they spent on textbooks in a year. The sample skewness of these amounts was found to be 0.83 and the sample kurtosis was 3.98. Test at the 10% level the null hypothesis that the population dis- tribution of amounts spent is normal.A researcher conducts a hypothesis test using a sample from an unknown population. If df = 30 for the t-statistic and M = 46 and s2 = 10, how many individuals were in the sample?A stationery store owner claims that the average price of greeting cards that it has in inventory is less than R25. The null and alternative hypotheses is: A. H0: µ = 25 H1: µ ≠ 25 B. H0: µ > 25 H1: µ < 25 C. H0: µ = 25 H1: µ < 25 D. H0: x ̅ = 25 H1: x ̅ < 25
- Suppose a linear model y=β0+β1xy=β0+β1x is fit to a sample data set, and a test of the null hypothesis H0:β1=0H0:β1=0 against an alternative hypothesis HA:β1≠0HA:β1≠0 is performed; a PP-value of 0.4203 is obtained. Which of the following scatter plots depicts the data set on which this model was fit and the hypothesis test was performed?An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Beverage Sample Size Sample Mean Sample SD Strawberry Drink 10 535 24 Cola 10 559 15 Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use ? = 0.05.) State the relevant hypotheses. (Use ?1 for the strawberry drink and ?2 for the cola.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≥ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink.Reject H0. The…Consider the following two formulations of the bivariate PRF, where ui and εi are both mean-0 stochastic disturbances (i.e random errors): yi = β0 + β1xi + u yi = α0 + α1(xi − x¯) + ϵ a) Write the OLS estimators of β1 and α1. Are the two estimators the same? b) What is the advantage, if any, of the second model over the first?
