Studies have documented the importance of dialogic classroom discourse for supporting academic outcomes, including reading comprehension and vocabulary development. A study focuses on one type of dialogic classroom discourse-teacher talk classified into high and low levels of dialogic talk It is assumed that a dynamic classroom should have 46% of a high level of teacher talk. In a random sample of 30 high school classrooms in Sydney, 22 reported a high level of dialogic teacher talk. Research Question: Does high school classrooms in Sydney have dynamic classrooms? 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 classrooms that reported a high level of dialogic teacher talk (dynamic classroom)?p= (2dp) 2. (1 mark) What is the sample proportion of classrooms that reported a high level of dialogic teacher talk (dynamic classroom)? P (20p) 3. (1 mark) Which statistical test can be used for the research question? A. a z-Test for a Population Proportion B. a one-sample t-test C. a two independent samples t-test 4. (1 mark) Have the success and failure conditions met to be able to use normal approximation to binomial distribution? 5. (1 mark) Calculate the standard error for the sample proportion p to be used in the denominator of the test statistic. (3dp) 6. (1 mark) What is the absolute value of the test statistic (Hint: don't round por p in your calculation]? (3dp) 7. (1 mark) What is the degrees of freedom associated with this hypothesis test? A. n-1 B. n-2 C. D. None of the other options &. (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? A. Yes B. No C. None of the other options 9. (2 mark) Calculate the 95 confidence interval to be able to say we are 95% confident that the population proportion of classrooms with a high level of dialogic teacher talk (dynamic classroom) is between (Lower limit, 3dp) and (Upper limit, 3dp) Assuming the variable of interest is X: the number of classrooms engaging in a high level of dialogic teacher talk (dynamic classroom), use the above information to answer the following questions. 10. (1 mark) What is the expected numbers of classrooms engaging in a high level of dialogic teacher talk (dynamic classroom), assuming the hypothesised value holds? (10p) 11. (1 mark) Which statistical test did you use calculating the expected number of classrooms engaging in a high level of dialogic teacher talk (dynamic classroom)? A. a Chi-square Goodness of fit Test B. a one-sample t-test C. a two independent samples t-test 12. (1 mark) What are the degrees freedom associated with this hypothesis test? (Integer) 13. (1 mark) What is the value of the test statistic associated with this hypothesis test? (3dp) 14. (2 mark) What is the relationship between this test statistic (Question 13) and the test statistic in Question 6? A. There is no relationship between two test statistics B. There is a negative linear relationship between two test statistics C. There is a positive linear relationship between two test statistics D. There is a quadratic relationship between two test statistics