Research question: We wish to investigate whether the number of followers of teams playing in major international team sporting competitions is distributed according to the table below.

the number of followers of teams | 1 (less that 10,000) | 2 (10,001-50,000) | 3 (50,001-100,000) | Percentage | 10 | 10 | 50 |

the number of followers of teams 4 (more that 100,001) Percentage 30

Please complete the following table calculating the values of A, B and C.

| 1 (less that 10,000) | 2 (10,001-50,000) | 3 (50,001-100,000) | Observed Count | 27 | 29 | A=*** | Expected Count | 11.4 | 11.4 | 57 | chi squared | 21.347 | C=*** | 15.789 | 4 (more that 100,001) | Total Observed Count 31 | 114 Expected Count B=*** | 114 chi squared 0.299 | 64.607

A [integer]:

Answer 6 Question 1

B [use at least 3dp]:

Answer 7 Question 1

A chi-squared goodness-of-fit test is run to answer the research question. Consider the output of the test below, and answer the questions:

Chi-squared test for given probabilities

data: table(var4) X-squared = 64.608, df = 3, p-value = 6.084e-14

What is the null hypothesis? Choose one among the following options:

a. the number of followers of teams playing in major international team sporting competitions is distributed according to the given table of probabilities

b. the number of followers of teams is associated with sex of players

c. the number of followers of teams and sex of players are independent

d. the number of followers of teams playing in major international team sporting competitions is not distributed according to the given table of probabilities

Answer 8 Question 1 abcd

From the p-value as reported above, we can conclude that the decision of the test is:

Answer 9 Question 1 Accept H0Reject H0Do not accept H0Do not reject H0

What is the conclusion of the test?

a. There is evidence that the number of followers of teams playing in major international team sporting competitions is distributed according to the given table of probabilities

b. There is evidence that the number of followers of teams and sex of players are associated

c. There is not enough evidence that the number of followers of teams playing in major international team sporting competitions is distributed differently than the given table of probabilities

d. There is not evidence that the number of followers of teams and sex of players are associated

e. There is evidence that the number of followers of teams playing in major international team sporting competitions is not distributed according to the given table of probabilities

f. There is evidence that the number of followers of teams and sex of players are independent

Answer 10 Question 1 abcdef