In a study, 110 children of a certain race in a certain city were randomly assigned to one of two groups: one group enrolled in a preschool, and the other group did not. A research question was whether attendance at preschool had an effect on high school graduation. The accompanying table shows whether the students graduated from regular high school or not and includes both boys and girls. Find a 95% confidence interval for the difference in proportions, and interpret it. A Click the icon to view the data. Step 1: Calculate percentages 30 or 55.6%, graduated from high school. Looking at the children who did not go to preschool, what percent graduated from high school? 54 Looking at children who went to preschool, 30.4 % of children who did not go to preschool graduated from high school. (Round to one decimal place as needed.) Step 2: Compare In this sample, the children who attend preschool are more likely to graduate than the children who don't attend preschool. Step 3: Verify conditions Although we don't have a random sample of children, we do have random assignment to groups, and the two groups are independent. We must verify that the sample sizes are large enough. Let sample 1 be children who went to preschool and let sample 2 be children who did not go to preschool. nP = 54(0.556) = 30 n (1-P1) = 54(0.444) = 24 n2P2 = 56(0.304) =O E X na (1-P2) =O Graduation data (Round to the nearest integer as needed.) Preschool No Preschool Grad HS 30 17 No Grad HS 24 39

In a study investigating the difference in food preferences between men and women, researchers asked subjects to indicate whether they liked or disliked certain foods. One question was about liking cabbage. Twenty percent of a sample of 75 men liked cabbage, while 41% of a sample of 100 women indicated that they liked cabbage. Provide two confidence intervals, one for the proportion of men who like cabbage and one for the proportion of women who like cabbage. Use a 95% confidence level. State whether or not the populations are different and explain how you know this.

Giving a test to a group of students, the grades and gender are summarized below Grades vs. Gender   A B C Male 5 8 6 Female 14 15 13 If one student was chosen at random, find the probability that the student got a C.Probability =

What percent of females thought that they were almost certain to be married in the next 10 years?

At one large college, 1867 out of the 2500 students surveyed said they plan to take another science class.Find the 95% confidence interval for the proportion of students that said they plan to take another science class.  ?   %  to   ? %

ath ess Most Watched Ani... A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Ho: Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative…

A university planner wants to determine the proportion of undergraduate students who plan to attend graduate school. She surveys 54 current students and finds that 27 would like to continue their education in graduate school. Which of the following is the correct 90% confidence interval estimate for the proportion of undergraduates who plan to attend graduate school?

A Pew Internet Project Data Memo presented data comparing adult gamers with teen gamers with respect to the devices on which they play. The data are from two surveys. The adult survey had 1063 gamers, while the teen survey had 1064 gamers. The memo reports that 54% of adult gamers played on game consoles (Xbox, PlayStation, Wii, etc.), while 89% of teen gamers played on game consoles.  Suppose you want to construct a 95% confidence interval for the difference.  You want to test were or not the two proportions (adult using consoles vs teens using consoles) are the same.  You have to calculate a pooled estimate for the proportion.  What would that be?  (Please round to three decimal places)

The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Yds/Att WinPct Arizona Cardinals 6.7 52 Atlanta Falcons 7.4 63 Carolina Panthers 7.8 67 Chicago Bears 6.8 50 Dallas Cowboys 5.9 31 New England Patriots 7.8 71 Philadelphia Eagles 7.6 70 Seattle Seahawks 6.9 52 St. Louis Rams 5.8 36 Tampa Bay Buccaneers 8.5 84 -select your answer choices-  a. (A, B, C, D)  b. The scatter diagram indicates a (positive, negative) linear relationship between x= average number of passing yards per attempt and y= the percentage of games won by the team. d. The slope of the estimated regression line is approximately __. So, for every (increase, decrease) of…

The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.