Start time: _______ End time: _______

Name: ___________________________

 

Or, record elapsed time in minutes: __________

 

 

12.

Let us refer to babies born in January, February, or March as “Q1 babies,” those born in April, May, or June as “Q2 babies,” those born in July, August, or September as “Q3 babies,” and those born in October, November, or December as “Q4 babies.” Now, if we take leap years into account, the first quarter (Q1) accounts for  of all possible days, Q2 accounts for  and Q3 and Q4 each account for  In other words, the year is weighted toward the second half (Q3 and Q4).

At a large suburban hospital, an SRS of 20,000 live births over many years shows 5101 Q1 babies, 4999 Q2 babies, 4955 Q3 babies, and 4945 Q4 babies.

 

 

(a)

Determine if there is any evidence that the true proportions of births differ from the fractions given in the first paragraph. Use  = 0.05 for this problem. Show all steps, below and/or on reverse, including most of the work in the calculation of the relevant test statistic.

(b)

After you have finished part (a), state which quarter (circle one:  Q1  Q2  Q3  Q4 ) accounts for most of the contribution to the relevant test statistic. Interpret this finding in the context of the problem.

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