One sample proportion confidence interval: Outcomes in : State Success : Kentucky p : Proportion of successes Method: Standard-Wald 50% confidence interval results: Variable Count Total Sample Prop. Std. Err. L. Limit U. Limit State 149 223 0.66816143 0.031532013 0.64689342 0.68942945One sample proportion confidence interval: Outcomes in : Subject Success : Math Group by: Gender p : Proportion of Successes 95% confidence interval results: Gender + Count . Total . Sample Prop. . Std. Err. . L. Limit . U. Limit Female 24 144 0.16666667 0.0310565 0.10579705 0.22753629 Male 15 72 0.20833333 0.04786128 0.11452695 0.30213972One sample T confidence interval: M : Mean of variable 95% confidence interval results: Variable . Sample Mean . Std. Err. DF . L. Limit . U. Limit . 10SD1 50.666346 1.0607836 99 48.561522 52.771171 50SD1 51.027295 4.8757117 99 41.352826 60.701765 90SD1 54.740334 9.7070681 99 35.479405 74.001263 10n1 51.089142 4.0887226 9 41.839809 60.338475 100n1 49.00883 2.1094121 99 44.823299 53.194361 1000n1 50.530938 0.62712235 999 49.30031 51.761566One sample T confidence interval: Group by: Gender u : Mean of Sleep 95% confidence interval results: Gender . Sample Mean - Std. Err. . DF . L. Limit . U. Limit Female 6.829932 0.14134033 146 6.5505946 7.1092693 Male 6.8194444 0.2223139 71 6.3761631 7.2627258One sample Z confidence interval: u : Mean of variable Standard deviation not specified. 95% confidence interval results: Variable n Sample Mean Std. Err. L. Limit U. Limit Temp 220 71.813636 0.69811701 70.445352 73.181921One sample proportion confidence interval: Outcomes in : State Success : Kentucky p : Proportion of successes Method: Standard-Wald 99% confidence interval results: Variable Count Total Sample Prop. Std. Err. L. Limit U. Limit State 49 223 0.66816143 0.031532013 0.58694035 0.74938252SHORT ANSWER WRITING ASSIGNMENT 19) In order to conduct inferential statistics the sample must be representative of the population. For lab purposes, we will assume that our sample of students is representative of the student body at BCTC. Is this the case? Explain. 20) Look at the 50% confidence interval for the population proportion of students who were born in Kentucky. a. Identify the interval. b. Explain why a 50% interval would not be of much use in estimating the population proportion. 21) Give the following confidence intervals for the population proportion of students who were born in Kentucky. a. 90% confidence interval b. 95% confidence interval c. 99% confidence interval d. What happens to the interval as the confidence level increases? Explain. 22) Look at the 95% confidence intervals for the population proportion of males/females who choose math as their favorite subject. a. Identify the interval for males. b. Interpret the interval for males. c. Identify the interval for females. d. Interpret the interval for females. 23) Look at the 95% confidence interval for the population mean of the variable Temp. a. Identify the interval. b. Interpret the interval. 24) Look at the 95% confidence intervals for the population means of the variable Sleep grouped by Gender. a. Identify the interval for males. b. Interpret the interval for males c. Identify the interval for females. d. Interpret the interval for females. 25) Look at the 95% confidence intervals for the variables 10SD1, 50SD1, and 90SD1. a. Identify the interval for 10SD1. b. Identify the interval for 50SD1 c. Identify the interval for 90SD1. d. How does the change to standard deviation of the population effect the confidence interval? Explain. 26) Look at the 95% confidence intervals for the variables 10n1, 100nl, and 1000n1. a. Identify the interval for 10nl. b. Identify the interval for 100n1. c. Identify the interval for 1000n1. d. How does the change in sample size effect the confidence interval? Explain.One sample proportion confidence interval: Outcomes in : State Success : Kentucky p : Proportion of successes Method: Standard-Wald 95% confidence interval results: Variable Count Total Sample Prop. Std. Err. L. Limit U. Limit State 149 223 0.66816143 0.031532013 0.60635982 0.72996305One sample proportion confidence interval: Outcomes in : State Success : Kentucky p : Proportion of successes Method: Standard-Wald 90% confidence interval results: Variable Count Total Sample Prop. Std. Err. L. Limit U. Limit State 149 223 0.66816143 0.031532013 0.61629589 0.72002698