An electronic prize wheel is programmed to land on “win” 25% of the time on weekdays and 10% of the time on weekends, and consecutive plays produce winners independently. Suppose we observe a random sample of 50 outcomes from this machine on weekdays and 100 outcomes from this machine on weekends. Let p-hat WD and p-hat WE be the sample proportion of winners on weekdays and weekends, respectively. Which of the following describes the shape, mean and standard deviation of the sampling distribution of p-hat WD - p-hat WE ? Shape = approximately normal, mean = 0.15, standard deviation = 0.07

Shape = approximately normal, mean = 0.15, standard deviation = 0.05

Shape = skewed right, mean = 0.15, standard deviation = 0.07

Shape = skewed right, mean = 0.35, standard deviation = 0.05

Shape = approximately normal, mean = 0.35, standard deviation = 0.07