Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed. A 95 % confidence interval for a difference in proportions p, - p2 if the samples have n = 70 with p, = 0.68 and n2 = 70 with p2 = 0.56, and the standard error is SE = 0.08. Round your answers to three decimal places. The 95 % confidence interval is i to iHow Much More Effective is It to Test Yourself in Studying? We have found that students who study by giving themselves quizzes recall a greater proportion of words than students who study by reading. Also, we see that there is an effect, but often the question of interest is not "Is there an effect?" but instead \"How big is the effect?" To address this second question, use the information given below to nd a 95% condence interval for the difference in proportionspl p2, where p1 represents the proportion of items correctly recalled by all students who study using a self-quiz method and p2 represents the proportion of items correctly recalled by all students who study using a reading-only approach. Assume that the standard error for a bootstrap distribution of such differences is also about 0.07. The proportion of items correctly recalled was 0.15 for the reading-study group and 0.42 for the self-quiz group. Round your answers to two decimal places. incentives to Exercise: How Much More Effective ls it to Lose Money? Overweight participants who lose money when they don't meet a specic exercise goal meet the goal more often, on average, than those who win money when they meet the goal, even if the nal result is the same nancially. In particular, participants who lost money met the goal for an average of 45.0 days (out of 100) while those winning money or receiving other incentives met the goal for an average of 33.7 days. The incentive does make a difference. In this exercise, we ask how big the effect is between the two types of incentives. Find a 90% condence interval for the difference in mean number of days meeting the goal, between people who lose money when they don't meet the goal and those who win money or receive other similar incentives when they do meet the goal. The standard error for the difference in means from a bootstrap distribution is 4.14. Round your answers to two decimal places. The 90% condence interval is I to n