Question

A researcher wants to know how optimistic students are about getting a job after they finish their university studies. The researcher randomly selected 10 students from the graduating class to complete a short questionnaire. A key question asked what was the likelihood that the student would get their preferred job soon after graduation. The questionnaire used a 7-point scale from extremely unlikely (1) to extremely likely (7). The researcher wanted to know if students’ responses were consistently above or below the neutral point on the scale (hint: μ = 4). The students’ ratings are below.

Rating (X)	Squared Deviations
5	0.09
3	2.89
6	1.69
2	7.29
7	5.29
6	1.69
7	5.29
4	0.49
2	7.29
5	0.09

Approximately, what is the observed value of the test statistic and what is your decision regarding the null hypothesis?

Answer 1

Following table shows the calculations:

	X	(X-mean)^2
	5	0.09
	3	2.89
	6	1.69
	2	7.29
	7	5.29
	6	1.69
	7	5.29
	4	0.49
	2	7.29
	5	0.09
Total	47	32.1

Conclusion: Fail to reject the null hypothesis