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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

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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 40% of a high level of teacher talk. In a random sample of 30 high school classrooms in Sydney, 25 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 = [2dp) 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 p or 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. n D. None of the other options 8. (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)

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