Are births really evenly distributed across the days of a week? Here are data on 700...

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Statistics

Are births really evenly distributed across the days of aweek? Here are data on 700 births in a hospital:

Day

Sun.

Mon.

Tue.

Wed.

Thu.

Fri.

Sat.

Observed births

89

110

116

104

94

106

81

Null hypothesis: the births are evenly distributed across thedays of the week

Research hypothesis: the births are not equally probable onall days of the week?

Choose Î± = 5%

Test statistic used: Ï‡2 =

Decision : Reject Ho if Ï‡2 is too big.

Calculations and Conclusion

1Ëš Arrange the data in the form of a frequency distribution(See the table above).

2Ëš Obtain the expected frequency for each day.

Day

Sun.

Mon.

Tue.

Wed.

Thu.

Fri.

Sat.

Expected births

3Ëš Setup a summary table to calculate the Chi-squarevalue.

4Ëš Find the degree of freedom.

5Ëš Compare the calculated Chi-square value with theappropriate value from the Ï‡2 Table.

The calculated Ï‡2 value is

A) 7.15
B) 8.27
C) 9.26
D) 10.10
E) 11.92
F) 12.76
G) 13.68
H) 16.42
I) 19.12
J) 23.86.

Answer & Explanation Solved by verified expert

4.4 Ratings (724 Votes)

Null hypothesis the births are evenly distributed across thedays of the week MathematicallyHo p1p2p3p4p5p6p717Research hypothesis At least one proportion is not equal to See Answer

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