Hypothesis test of Spearman’s rank correlation coefficien
Explain what you understand by the Central Limit Theorem.
A county councillor is investigating the level of hardship, \(h\), of a town and the number of calls per 100 people to the emergency services, \(c\). He collects data for 7 randomly selected towns in the county. The results are shown in the table below.
Town
A
B
C
D
E
\(F\)
G
\(h\)
14
20
16
18
37
19
24
\(c\)
52
45
43
42
61
82
55
Calculate the Spearman's rank correlation coefficient between \(h\) and \(c\).
After collecting the data, the councillor thinks there is no correlation between hardship and the number of calls to the emergency services.
Test, at the \(5 \%\) level of significance, the councillor's claim. State your hypotheses clearly.