1 Randomly selected birth records were obtained and categori

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Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained?

Day Number_of_Births
Sun 47
Mon 62
Tues 65
Wed 63
Thurs 61
Fri 58
Sat 43

What is the test statistic_________
What is the PValue_________

What is the Null Hypothesis_______

What is the research hyptothesis_______

Reject or fail to reject Null Hypothesis:________ because the P value is< or >

Solution

n = 7
total births = 47+62+65+63+61+58+43 = 399
expected frequency = 399/7 = 57
alpha,a = 0.01

test statistic,X^2 = 7.684

Pvalue
degree of freedom = n-1 = 6
look in the chi distribution table in row 6, 7.68 lies between 5.35 and 12.59 whose column values are 0.50 and 0.05 hence
0.05 <P_value< 0.50

Null Hypothesis
births occur with equal frequency on the different days of the week

research hyptothesis
births does not occur with equal frequency on the different days of the week

because P_value > 0.01 fail to reject Null Hypothesis