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(a) The ministry of education is considering funding pre-school education. Before making their recommendations, administrators take a random sample of 100 students from various areas to compare the performance of students in algebrs between those who attended pre-school and those who did not. The results are summarised in the table below: Below Grade Level | At Grade Level Advanced 29 Pre-school 12 16 No pre-school 18 11 14 i. Based on the data a the table, and without conducting any significance test, would you say there is an association between attending pre-school and performance in algebra? ii. Calculate the x statistic and use it to test for independence between attending pre-school and performance in algebra at two appropriate significance levels. What do you conclude?

(a) The ministry of education is considering funding pre-school education. Before making their recommendations, administrators take a random sample of 100 students from various areas to compare the performance of students in algebrs between those who attended pre-school and those who did not. The results are summarised in the table below: Below Grade Level | At Grade Level Advanced 29 Pre-school 12 16 No pre-school 18 11 14 i. Based on the data a the table, and without conducting any significance test, would you say there is an association between attending pre-school and performance in algebra? ii. Calculate the x statistic and use it to test for independence between attending pre-school and performance in algebra at two appropriate significance levels. What do you conclude?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(a) The ministry of educntion is considering funding pre-school education. Before making their recommendations, administrators take a random sample of 100 students from various areas to compare the performance of students in algebra between those who attended pre-school and those who did not. The results are summarised in the table below: Below Grade Level 12 At Grade Level 29 Advanced Pre-school 16 No pre-school 18 11 14 i. Based on the data a the table, and without conducting any significance test, would you say there is an association between attending pre-school and performance in algebra? ii. Calculate the x? statistic and use it to test for independence between attending pre-school and performance in algebra at two appropriate significance levels. What do you conclude? (13 marks) You have been asked to design a cluster random sample survey on public sector workers to examine whether satisfaction on working conditions of employees varies between different job types. i. Discuss in no more than three sentences how you will choose your sampling frame. Also discuss the limitation(s) of your choice. ii. Propose two relevant clusters. Justify your choices. iii. Discuss in no more han two sentences, how selection bias could affect the results in the context of this survey. v. Briefly discuss the statistical methodology you would use to analyse the collected data.
Transcribed Image Text:(a) The ministry of educntion is considering funding pre-school education. Before making their recommendations, administrators take a random sample of 100 students from various areas to compare the performance of students in algebra between those who attended pre-school and those who did not. The results are summarised in the table below: Below Grade Level 12 At Grade Level 29 Advanced Pre-school 16 No pre-school 18 11 14 i. Based on the data a the table, and without conducting any significance test, would you say there is an association between attending pre-school and performance in algebra? ii. Calculate the x? statistic and use it to test for independence between attending pre-school and performance in algebra at two appropriate significance levels. What do you conclude? (13 marks) You have been asked to design a cluster random sample survey on public sector workers to examine whether satisfaction on working conditions of employees varies between different job types. i. Discuss in no more than three sentences how you will choose your sampling frame. Also discuss the limitation(s) of your choice. ii. Propose two relevant clusters. Justify your choices. iii. Discuss in no more han two sentences, how selection bias could affect the results in the context of this survey. v. Briefly discuss the statistical methodology you would use to analyse the collected data.
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