Conducting a Chi-Square Test for Goodness of Fit — Quiz
Question 9 • Statistics
A doctor used to believe that babies were equally likely to be born any day of the week, but with the rise in scheduled deliveries, the doctor now claims that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday). To test this theory, she selects a random sample of 120 babies born this year and determines on which day of the week they were born. She would like to carry out a test of significance to test her claim. What are the appropriate hypotheses?
Answer
A
cap h sub 0 : p sub Sun is equal to 1 over 12 , p sub Mon is equal to 1 sixth , p sub Tue is equal to 1 sixth , p sub Wed is equal to 1 sixth , p sub Thur is equal to 1 sixth , p sub Fri is equal to 1 sixth , p sub Sat is equal to 1 over 12 cap h sub A : Not all of the p sub i 's are as stated.
B
cap h sub 0 : Ten babies are born on each weekend day and 20 babies are born on each weekday. cap h sub A : The number of babies born on each weekend and weekday differ from what is stated in the null hypothesis.
C
cap h sub 0 : Not all of the p sub i 's are as stated. cap h sub A : p sub Sun is equal to 1 over 12 , p sub Mon is equal to 1 sixth , p sub Tue is equal to 1 sixth , p sub Wed is equal to 1 sixth , p sub Thur is equal to 1 sixth , p sub Fri is equal to 1 sixth , p sub Sat is equal to 1 over 12
D
cap h sub 0 : The number of babies born on each weekend and weekday differ from what is stated in the null hypothesis. cap h sub A : Ten babies are born on each weekend day and 20 babies are born on each weekday.