A doctor claims that the number of births by day of the week is uniformly distributed. To

Question:

A doctor claims that the number of births by day of the week is uniformly distributed. To test this claim, you randomly select 700 births from a recent year and record the day of the week on which each takes place. The table shows the results. At α = 0.10, test the doctor’s claim.

Day Frequency, f

Sunday …….....………. 65

Monday ……...……… 107

Tuesday ……...……… 117

Wednesday ….…….. 115

Thursday ……...…….. 114

Friday ………...…….. 109

Saturday ……...…….. 73

(a) Identify the expected distribution and state H₀ and H_a,

(b) Find the critical value and identify the rejection region,

(d) Decide whether to reject or fail to reject the null hypothesis,

(e) Interpret the decision in the context of the original claim.

Distribution
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