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How would I answer all parts to Q1 and Q2 please? Q1: Statistical inference [7 marks] a. Write 1-2 sentences describing the purpose of confidence

How would I answer all parts to Q1 and Q2 please?

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Q1: Statistical inference [7 marks] a. Write 1-2 sentences describing the purpose of confidence intervals in research. [3 marks] b. Write the general formula for a confidence interval for a sample proportion. [2 marks] c. In 1-2 sentences, describe how a researcher controls the level of confidence in their confidence interval. [2 marks]Q2: Pandemic effects on transit use [7 marks] The COVID-19 pandemic has influenced the way we move around our towns and cities. The proportion of students at the University of Waterloo who reported using public transit for the majority of their journeys in 2017/18 is compared to 2020/21. Using the information in the number line below: a) Write a one-sentence interpretation of the 95% confidence interval for the true difference in the proportion of students who used public transit for the majority of their journeys (2020/21 minus 2017/18). [4 marks] b) What is the margin of error for this confidence interval? [1 mark] c) What should urban transport planners conclude? [2 marks] -0.18 -0.10 -0.02 O Figure 1: The difference in the proportion of students reporting that they use public transit for the majority of their journeys (2020/21 minus 2017/18). The red line shows the 95% confidence interval

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