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 rom a sample of 100 persons. Gender of Respondents TOTALS MALE FEMALE Quality of facilties Above Average 8 7 15 Average 26 24 50 Below Average 7 28 35 Totals 41 59 100 A X2 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.
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 rom a sample of 100 persons.
Gender of Respondents TOTALS
MALE FEMALE
Quality of facilties Above Average 8 7 15
Average 26 24 50
Below Average 7 28 35
Totals 41 59 100
A X2 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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