You have two roommates, Marla and Kate, that are fighting. Marla thinks that she does a better job cleaning. Kate of course thinks that it is not true. They are asking what you think. You decide to collect some data and use your statistical knowledge to decide whether to support Marla or Kate. You start to record whether Marla and Kate clean the stove after they cook. You watch Marla cooking 50 random times. She cleans the stove right after being done 23 times. You watch Kate cooking 50 random times. a) [4 points] You report [-0.275,0.115] as 95% CI for the true difference between the proportion of time Marla cleans the stove after cooking and the proportion of time Kate cleans the stove after cooking. Find the number of time Kate cleans the stove right after being done in your sample.