Repeat Example 2 "Randomness of Births" using the births from Data Set 4 "Births" in Appendix B for the genders of births at Strong Memorial Hospital instead of Bellevue Hospital Center. Again use a 0.05 significance level to test the claim that the sequence of genders is random.
Example 2
Data Set 4 "Births" in Appendix B lists genders from 100 births at Bellevue Hospital Center. Let's consider the sequence of the listed genders indicated below, where 1 = boy and 0 = girl. (The complete list of 100 genders can be seen in Data Set 4.) Use a 0.05 significance level to test the claim that the sequence is random.
1 0 1 0 0 0 0 1...1 0 1
Data Set4

Use the runs test with a significance level of α = 0.05. (All data are listed in order by row.)

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GENDER (1 M) LENGTH OF STAY ADMITTED FRI FRI WED MON FRI DISCHARGED SUN SUN THU SAT SUN BIRTH WEIGHT 3500 FACILITY INSURANCE TOTAL CHARGES = 13986 Albany Medical Center Hospital Blue Cross Albany Medical Center Hospital Blue Cross Albany Medical Center HospitalInsurance Company Albany Medical Center HospitalInsurance Company 36 800 359091 3700