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Statistics

2. INTRODUCTION

2.1 Problem Definition
Stress has been a prominent factor in all of our lives due to the complications of living in a fast-paced society. Music therapy is increasingly gaining acceptance globally in schools as a legitimate modality for healing stress related problems. The purpose of this report is to elicit the reactions of the respondents towards having music therapy services at National University of Singapore (NUS).

2.2 Method of Investigation
Interviews and surveys are conducted by our group based on a stratified sample of 160 personnel(students & staffs) in total, from ten major faculties in NUS. These personnel were selected through the use of the non-probability sample of convenience sampling. All the raw data we gathered was analysed in order to obtain meaning to our findings.

We have also assessed the potential of using tools such as Bar Charts, Scatter Diagram Process Charts and Hypothesis Testing for our analysis. Research using textbooks and the Internet had also been done to gather more information on the uncertain topics. In addition, we consulted our tutor for advice and clarified any queries.

2.3 Description Of Data
In order to calculate the population proportion, p within our desired confidence interval of 95% and our acceptable sampling error, e of 0.08, we need to determine the sample size for p. Assumption: Ps = 0.50 (to be verified later using Hypothesis Testing),
For 95% confidence interval, Z0.025 = 1.96 and P is estimated by using Ps = 0.50

n = (Z0.025) 2 Ps (1-Ps) = (1.96) 2 0.50 (0.50)
e2 (0.08)2
N = 150.0625 = 151 (The general rule is to slightly oversatisfy the criteria by rounding the sample size up to the next whole integer.)

Therefore, a sample size of 151 would be necessary if we want to estimate the true proportion willing to go for music therapy in a large population within + 8 %, with 95% confidence.
Next, out of the sample size...