Test 3 Study Guide For questions 1 4 use the following information Im interested in testing if theres relationship between the region of the country a person is from and their favorite soda For the region of the country variable there are four regions Northeast Midwest West South For favorite soda survey respondents had three choices Coke Pepsi Dr Pepper My hypothesis is that people who live in different regions of the country have different soda preferences 1 What is the null hypothesis in the example 2 What is the critical value for the appropriate test of this hypothesis at the 05 level 3 If I calculated the appropriate test statistic for data related to that hypothesis the answer is 4 532 Can we reject the null hypothesis at the 05 level 4 True or false The standard deviation of the sampling distribution is the standard error of the a 0 b x 2 0 c t 0 a 2 365 b 2 447 c 12 59 a Yes b No mean a True b False 5 The correlation is an appropriate bivariate hypothesis test when your variables have what level of measurement A independent variable and a dependent variable 6 What is the first step in the Five Step Hypothesis Testing Model a Categorical Categorical b Categorical Continuous c Continuous Continuous a Determine the sampling distribution b Make assumptions c State the null hypothesis a A t statistic for the difference of means b R the correlation coefficient c A x 2 statistic 7 If I am trying to see if there s a relationship between age in years and annual income I should calculate what statistic 8 If the p value equals 03 what is the probability were committing type 1 error a 03 a 68 b 95 c 99 steps a b c a True b False 97 b c We need to know the number of degrees of freedom to determine that 9 According to the Central Limit Theorem a The median of a variable will have a normal distribution b The scores of a variable will have a normal distribution c The sampling distribution of the mean of a variable will have a normal distribution 10 of the means for a sampling distribution drawn randomly from a population will fall within plus or minus 1 96 standard deviations of the mean of the sampling distribution 11 True or false If I wanted to perform a basic difference of means test to see if there was a difference between men and women then I can use heterosexual couples and ask each person their opinion a True b False 12 In lecture we identified five steps to hypothesis testing Which of the following is one of those a Calculate the correlation coefficient b Determine the sampling distribution and critical region c Test your experimental data 13 Assuming a large sample size the formula for a 95 confidence interval of a mean is 14 Which of the following is true in a standard normal distribution a The mean median and standard deviation equal zero b The mean median and standard deviation equal one c The mean and median equal zero and the standard deviation equals one 15 True or False In a simple random sample all cases had an equal probability of being chosen 16 The smaller the standard error of a sample mean the confident we are that the sample mean represents the population mean Less a b More c Neither of the above is correct we are equally confident 17 If the data is a then one has collected data for every possible relevant case In contrast if the data is a then one has only collected information on some subset of all relevant cases a Population distribution b Cross section sample c Population sample 18 Which of the following is certainly true if we find a statistically significant relationship between two variables with a large sample size a There is a large and substantively meaningful relationship between the two variables b We can be fairly confident that the relationship observed in our sample is not the result of chance 19 What does a p value NOT tell us c We can demonstrate that one of the variables caused changes in the other variable a Strength of the covariance between X Y b The probability that we should accept the null hypothesis c The probability of X Y being related to each other in the population because of random chance 20 Use one of the tables on the last page to answer this question Image I have a table with 3 rows and 2 columns I calculate a test statistic of 5 35 which of the following statements is true a The relationship is statistically significant at 05 level but not the 01 level b The relationship is statistically significant at 05 level but not the 10 level c The relationship would be statistically significant at the 10 level but not the 05 level 21 Which of these represents a stronger association between two variables p 02 or p 01 assuming they are statistically different a P 02 b P 01 c P Values do not tell us about the strength of a relationship 22 True or False If we are using population data then we do not have to calculate the standard errors a True b False a 23 Which of these is the symbol for the population mean
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