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- Find the number of ways of placing 12 balls in a row given that 5 are red, 3 are green and 4 are yellow.The Transform 66 Outside the Beltway project, scheduled to be completed late 2022, is an expansion of the current highway that will provide new travel choices for drivers and hopefully congestion relief from the Capital Beltway (I-495) to Gainesville for a 22.5 mile stretch. This 22.5 mile stretch of I-66 will go through both Fairfax County and Prince William County. VDOT had team members from the project reach out through a phone survey for a random selection of 3,500 residents from both Fairfax County and Prince William County. One question asked on the survey was “Do you feel that the new I-66 Express Lanes will bring congestion relief?” Of the Fairfax County residents surveyed, 1,642 agreed they thought that the expansion will bring congestion relief while only 1,576 of the Prince William County residents surveyed agreed with the statement. 1) What is a possible confounding variable that might have introduced sampling bias intothe results of the survey? Answer in one to two…The Transform 66 Outside the Beltway project, scheduled to be completed late 2022, is an expansion of the current highway that will provide new travel choices for drivers and hopefully congestion relief from the Capital Beltway (I-495) to Gainesville for a 22.5 mile stretch. This 22.5 mile stretch of I-66 will go through both Fairfax County and Prince William County. VDOT had team members from the project reach out through a phone survey for a random selection of 3,500 residents from both Fairfax County and Prince William County. One question asked on the survey was “Do you feel that the new I-66 Express Lanes will bring congestion relief?” Of the Fairfax County residents surveyed, 1,642 agreed they thought that the expansion will bring congestion relief while only 1,576 of the Prince William County residents surveyed agreed with the statement. p1: proportion of successes for population 1p2: proportion of successes for population 2p1 - p2 : Difference in proportions95% confidence…
- The Transform 66 Outside the Beltway project, scheduled to be completed late 2022, is an expansion of the current highway that will provide new travel choices for drivers and hopefully congestion relief from the Capital Beltway (I-495) to Gainesville for a 22.5 mile stretch. This 22.5 mile stretch of I-66 will go through both Fairfax County and Prince William County. VDOT had team members from the project reach out through a phone survey for a random selection of 3,500 residents from both Fairfax County and Prince William County. One question asked on the survey was “Do you feel that the new I-66 Express Lanes will bring congestion relief?” Of the Fairfax County residents surveyed, 1,642 agreed they thought that the expansion will bring congestion relief while only 1,576 of the Prince William County residents surveyed agreed with the statement 1) Calculate and label the two sample proportions separately and round the values to four decimal places. Next, calculate the difference between…Please show all work. Pvalue?Note: Left-hand end-points are included in each bin. So the 2nd bin contains students carrying 5% of their body weight.