A survey was conducted with a large group of teenagers from 6 different states and it asked them for their favourite sport out of a large list of sports. The study aims to look at whether a teenager's state of residence is associated with their sporting preferences. Assume that p is the proportion of teenagers who selected the sport most preferred in their state of residence, such that p1 is that for State 1, p2 is that for State 2 and so on.

Required:
Determine the chi square test association.

Question

04-05-2021
Mathematics

Answered

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A survey was conducted with a large group of teenagers from 6 different states and it asked them for their favourite sport out of a large list of sports. The study aims to look at whether a teenager's state of residence is associated with their sporting preferences. Assume that p is the proportion of teenagers who selected the sport most preferred in their state of residence, such that p1 is that for State 1, p2 is that for State 2 and so on.

Required:
Determine the chi square test association.

Sagot :

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temdan2001 temdan2001 · Answer 1 · 2021-05-05T20:51:12-04:00

Answer:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

Step-by-step explanation:

The hypothesis to be tested for is whether the factor 'state' is associated with the factor 'sporting preference'.

The study is therefore about 'association' and whether the distributions of sporting preferences are identical across states. In scenario in this case is the test for association which is the most appropriate test.

Two factors are deemed to not be associated unless there is supporting evidence to suggest otherwise. Since the null hypothesis is the default belief, the correct pair of hypotheses are:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

Sagot :

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