Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of the quality of the restroom facilities, The following tables show the responses from a sample of 100 persons.     Gender of Respondent Total Male Female   Quality of Facilities Above average 8 7 15   Average 26 24 50   Below 7 28 35   Total 41 59 100     A ?2 test is carried out to determine whether there is an association between the gender of persons and their opinion. i) State appropriate null and alternative hypotheses  ii) Determine the critical region of the test at the 1% level of significance  iii) Calculate the expected value for Male and below average  iv) For a test statistic of 9.825, explain with reason, the conclusion of your test

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Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of the quality of the restroom facilities, The following tables show the responses from a sample of 100 persons.

 

 

Gender of Respondent

Total

Male

Female

 

Quality of Facilities

Above average

8

7

15

 

Average

26

24

50

 

Below

7

28

35

 

Total

41

59

100

 

 

A ?2 test is carried out to determine whether there is an association between the gender of persons and their opinion.
i) State appropriate null and alternative hypotheses 
ii) Determine the critical region of the test at the 1% level of significance 
iii) Calculate the expected value for Male and below average 
iv) For a test statistic of 9.825, explain with reason, the conclusion of your test. 

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