(13) P₁: 98 Suppose a study is conducted to determine whether the proportion of United Airlines flights that arrive late is larger than the proportion of Delta Airlines flights that arrive late. It is found that 98 out of a sample of 1,000 United flights and 67 out of a sample of 1,000 Delta flights arrive late. A randomization distribution with 1,000 simulated samples is given below. Randomization Dotplot of Null Hypothesis: p, "P2 $0.098 60.067 1000 70 60 50 40 30 20 10 Leh Tall Two Tall -0.05 -0.04 Right Tail -0.03 -0.02 -0.01 0.40 null 0 0.01 0.02 Samples 1000 mean-0.00027 std. error-0.014 0.03 0.04 Conduct a complete hypothesis test for the difference in proportions, including the following elements: State the null and alternative hypotheses, using correct notation. Calculate the observed sample statistic. Use the randomization distribution and the percentile method to calculate the p-value of the observed sample statistic. Make a formal conclusion at a 5% significance level. Interpret your conclusion in context. P= UA H₂= P₁ = P₂ P₁=DA Ha: Pi>P₂ P-P₂=0.098-0067 = 0.03 = 0.03±2 (0.014) = (0.002,

Here we need to test whether the proportion of united airlines flights that arrive lage is larger than the proportion of delta airlines flights that arrive late. 

So null hypothesis, H0: (p₁ <= p₂)

Alternative hypothesis, (p₁>p₂)