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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 Ha,
(b) Find the critical value and identify the rejection region,
(c) Find the chi-square test statistic,
(d) Decide whether to reject or fail to reject the null hypothesis,
(e) Interpret the decision in the context of the original claim. |
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