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 finds that 4 were born on Sunday, 24 on Monday, 21 on Tuesday, 18 on Wednesday, 22 on Thursday, 28 on Friday, and 3 on Saturday. She would like to carry out a test of significance to test her claim. What is the value of the chi-square test statistic and the cap p -value of this test? Use the chi-square distribution table.
Answer
A
chi squared is equal to 12 point 9 5 , cap p -value is between 0 point 0 5 and 0 point 1 0
B
chi squared is equal to 12 point 9 5 , cap p -value is between 0 point 0 2 5 and 0 point 0 5
C
chi squared is equal to 28 point 7 4 , cap p -value is between 0 point 0 0 0 5 and 0 point 0 0 1
D
chi squared is equal to 28 point 7 4 , cap p -value is less than 0 point 0 0 0 5