Days with AQI value 50:8 Proportion of days for which the air quality was not good in the sample (phat) : 0.1652 8/116=0.06896551 Central Limit Theorem The Large sample condition: n*phat: 116*0.0690=8.004 n*(1-phat): 116*(1-0.0690)= 108 Both n*phat and n*(1-phat) are greater than 10 and therefore meet the Large Sample condition, and all the conditions of the Central Limit Theorem apply. # of success insample: 8 Sample size: 116 Sample Proportion of Successes : 6.90% Z Value Multiplier for 95% Confidence Interval: 1.96 Estimated Standard Error:0.22853 Confidence Interval: (95%) 0.023, 0.115; (90%) 95% confidence interval results: Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 8 116 0.068965517 0.023527 0.02285 0.115078. 90% confidence interval results Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit P 8 116 0.068965517 0.023527 0.03027 0.107664