++++1+++++ Randomly selected birth records were obtained, and categorized as lis
ID: 3430294 • Letter: #
Question
++++1+++++
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 >
Explanation / Answer
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
f0 fe (f0-fe)^2 (f0-fe)^2 / fe 47 57 100 1.754 62 57 25 0.439 65 57 64 1.123 63 57 36 0.632 61 57 16 0.281 58 57 1 0.018 43 57 196 3.439 sum = 7.684Related Questions
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