The unprecedented shift to remote learning during the Covid -19 pandemic offered a chance to learn about student experiences and needs and possible future trends in unit design. An educator set out to understand the impact of remote leamitg and assumed that 35% of students would report their studies in the neviI situation {online} is the same as in the face-to-lace context. In a random sample of 50 university students, 2t} rated their overall learning in the virtual format as on par with the face-to-face teaming. Research Question: Has the proportion of students reporting an equal preference for onliie and face-to-face learning changed due to the David-1E pandemic? Use the above information to answer the following questions by choosing the most correct option or typing the answer. '1. [1 mark] What is the population proportion of university students reporting the same learning experience in online and face-to-face contexts? p: {2de (Hint: Enter your answer as a proportion. such as am} 2. [1 mark] 'Il'lil'tat is the sample proportion of university students reporting the same learning experience in online and face-to-face contexts? p\" = {Edp} (Hint: Enter your answer as a proportionI such as am] 3. {1 mark] Which statistical test can be used for the research question? 0 A. a z-Test for a population proportion E. a one-sample t-test for a population mean C. a two independent samples t-test for comparing means 4. [1 mark] Have the success and failure conditions met to use nom'ial approximation to binomial distribution? 5. {1 mark] Calculate the standard error for the sample proportions, assuming the population proportion is known and p : Po {ado} . {1 mark] 'IM'tat is the absolute value of the test statistic [Hint: don't round p or p" in your calculation]? [Sdpl 0 F. [1 mark] What is the degrees of freedom associated with this hypothesis test? A. n-1 El. n-2 C. n D. None of the other options B. [1 mark] Based on the test statistic above. do you expect to see the hypothesised value of population proportion [p] lying inside the 95% confidence interval? 3 A. Yes E. No C. None of the other options 9. [3 marks] Calculate the 95% confidence interval to estimate the proportion of university students reporting the same learning experience in online and face-to-face contexts. Calculate the standard error for the sample proportions, assuming the population proportion is unknown. [dp] Lower Bound : [Sdp] Upper Bound = [Sdp] Instead of focussing on the proportion of miversity students reporting the same learning experience in online and face-to-face contexts. we shift our attention to the variable X: the nunrber of university students who reported the same learn'ng experience in online and face-to-face contexts. Use the above information to use the followitg questions. 10. [1 mark] Assuming the hypothesised value holds, what are the expected numbers of university students who reported the same learning experience in online and face-to-face contexts? [1 do] 0 11. {1 mark] lultr1'tich statistical test did you use to calculate the above expected number? A. a chi square goodness of t test E. a one-sample t-test for a population mean C. a chi square test of independence 12. {1 mark] What are the degrees of freedom associated with this hypothesis test? [Integer] 13. [2 marks] What is the value of the test statistic associated with this hypothesis test? [dp] 14. [2 marks] What is the relationship between this test statistic, Question 13, and the test statistic in Question 6? A 1- A. There is no relationship between Question 6's test statistic and Question 13's test statistic El. There is a negative linear relationship between Question 6's test statistic and Question 13's test statistic C. There is a positive linear relationship between Question E's test statistic and Question 13's test statistic D. The square of the test statistic in Question 6 is identical to the test statistic in Question 13