in Question 2(Muiiipie Choice Worth 4 points) (0306) One hundred sixtyive ofthe 225 high school students surveyed at a local school say they went outside more during school hours as elementary school students than they do now as high school students. Calculate the margin of en'or (ME), rounded to the nearest tenth of a percent. Is it reasonable that the state education department claims the percentage for the entire state is 78%? Justify your answer. Hint: ME = 5:2 , Pa 1') , where 16 is the yes proportion in the sample and N is the sample size. .l' N 0 Yes, it is reasonable because the ME is 5.9% and the population proportion of 78% falls within the sample interval of "(3.3% 1 5.9% O No, it is not reasonable because the ME is 29% and the population proportion of 78% falls outside the sample Interval of 733% 1 29% 0 Yes, it is reasonable because the ME is 59% and the population proportion of 73% falls Within the sample interval of 780% 1 59% O No, it is not reasonable because the ME is 43% and the population proportion of 78% falls outside the sample interval of 733% 1 43% Question 5(Multiple Choice Worth 4 points) F3 (0306) A researdt organization has receny issued a statement suggesting that 40% qumen'can mothers are unhappy with their children's work habits, You have designed a simulation to generate sample data refuting this claim, An automated random number sample program is used that has sample utsize 25, is run 100 times' and uses the numbers 1 through 10 to represent unhappy mothers, and the numbers 11 thruugh 25 to represent happy mothers, The dot plot below represents the outcome at the simulation, American Mothers Unhappy with Children's Work Habits Sample: 2.5 : 12 Trials: 100 7 Frequency 3 Uhmmhulmi DIZE4557.910111213111516171! Number of Unhappy Mothers Using the data from this simulation, rounded to the nearest whole person' what is the average number of mothers out of 25 who are unhappy with their children's work habits? O10 O11 O12 The tolbwing dot plot shows the results of a simulation, manormsiumommsbem O 9.000.. 0...... O. 600000000. Pregnancy auu-qnqc!=:=!===== OOOOOOOOQOOOOOO O .- OOOOOOOOHOOOOO O .rr.trt IIJ| I 055 as. 0.\" 3. 3 PmpmonsAlmsmISiwarlenn Given the mean of the sample proportion is E = (150, what would be a likely use ofthe random numbers used in the simulation to generate the dot plot data? What is the value otthe mean of the sample proportions (rounded to the nearest hundredth) and what would be a likely use of random numbers used in the simulation to generate the dot plot data? 0 Generate 100 numbers randomly using the digits 0 through 9, select 0 through 3 to represent a success and the digits 4 through 9 to represent not a success, run the trial 200 times, and plot the results on a proportion-frequency dot plot 0 Generate 10 numbers uslng the diglts 0 through 9, select 0 through 3 to represent a success and the digits 4 through 9 to represent not a success, an the trial 200 times, and plot the results on a proportion-frequency dot plot 0 Generate 100 numbers randomly using the digits 0thmugh 9, selectOthrough 5 to represent a success and the digits 6 through 9 to represent not a success, run the trial 100 times, and plot the results on a proportionsfrequency dot plot 0 Generate 100 numbers randomly using the digits Uthmugh 9, seleclOthrough 4 to represent a success and the digits 5 through 9 to represent not a success, run the trial 200 times, and plot the results on a proportionsfrequency dot plot A leading medical journal claims that 39% of young adults play organized sports. A physician wants to conduct a survey to verify this with her young adult patients and wants to do so with a margin of error (ME) of +5%. What minimum sample size, rounded to the nearest whole person, does the physician need to use? Hint: ME = 12 p(1 - p), , where p is the yes proportion in the sample and N is the sample size. N ON 2 381 ON 2 400 O N 2 354 ON 2 24A researd'l organization recently issued a statement suggesting that 65% otAmencan voters are dissatised with the work of Congress, You designed a simulation to generate sample data to reect this proportion, An automated random number sample program is used that has a sample of size 20, is run 100 times, and uses the numbers 1 through 13 to represent dissatised voters and the numbers 14 through 20 to represent satised voters. The dot plot below represents the outcome of the simulation, with the margin of error displayed. Sinmlation of65% Dissatisfaction with Congrats Margin afrm Sample Size: 20 Trials: 100 533555558 Frequency :2 p.- O OhNubU'm-ll 56789101112315141516171319201122 Number oneses in Sample (20 Using the data from this simulation, what is the sample mean (rounded to the nearest tenth), E, and approximately what proportion of voters are dissatised