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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 ofa week? 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 distributedacross the days of the week

Research hypothesis: the births are not equally probableon all days of the week?

Choose α = 5%

Test statistic used: χ2 =

Decision : Reject Ho if χ2 is too big.

Calculations and Conclusion

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

2Ëš Obtain the expected frequency for eachday.

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.

5˚ Compare the calculated Chi-square value with theappropriate value from the χ2 Table.

The calculated χ2 value is

  1. 7.15

  2. 8.27    

  3. 9.26   

  4. 10.10   

  5. 11.92

  6. 12.76

  7. 13.68

  8. 16.42

  9. 19.12   

  10. 23.86.

Q11: (This continues Q10: 2 marks) Find the p-value ofthe test.

  1. Less than 0.25%

  2. Between 0.25% and 0.5%

  3. Between 0.5% and 1%

  4. Between 1% and 2.5%

  5. Between 2.5% and 5%

  6. Between 5% and 10%

  7. Between 10% and 15%

  8. Between 15% and 20%

  9. Between 15% and 20%

  10. Bigger than 20%.

Answer & Explanation Solved by verified expert
4.5 Ratings (774 Votes)
1The observed values areDayObserved valuesSun89Mon110Tue116Wed104Thu94Fri106Sat81Total7002The expected values areDayExpected    See Answer
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