11.22 [EX11-22] The 2003 U.S. census found that babies entered the world on the days of the week in the proportions that follow.

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Weekday P(Day) Weekday P(Day) Sunday 0.098 Thursday 0.160 Monday 0.149 Friday 0.159 Tuesday 0.166 Saturday 0.111 Wednesday 0.157 Source: U.S. Census Bureau A random sample selected from the birth records for a large metropolitan area resulted in the data: Day Su M Tu W Th F Sa 17 11 Observed 10 6 9 13 9 a. Do these data provide sufficient evidence to re- ject the claim, "births occur in this metropoli- tan area in the same daily proportions," as re- ported by the U.S. Census Bureau? Use = 0.05. b. Do these data provide sufficient evidence to re- ject the claim, "births occur in this metropoli- tan area on all days with the same likeliness"? Use = 0.05. c. Compare the results obtained in parts a and b. State your conclusions.