3. A study was carried out into how social media use may affect peoples level of fitness. A random sample of subjects were classified by how much time they reported spending on social media, ranging from none to Frequent, and an assessment of their fitness. The results are shown in the following table.
None
Occasional
Some Use
Frequent
Unfit
23
25
16
19
Fit
27
26
Very Fit
18
8
Answer the following questions.
(a) Show the calculations that must be done for any two cells when calculating the sample value of the test statistic Q shown here.
? (Oi − Ei)2Q = E = 5.90.
ii
(b) Carry out an appropriate statistical test to determine whether there is a link between level of social media use and fitness.
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