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.

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.