11.52 [EX11-52] The 2003 U.S. census found that babies entered the world during the various months in the proportions that follow.

Month P(Month) Month P(Month) Month P(Month)

January 0.082 May 0.084 September 0.087 February 0.076 June 0.081 October 0.086 March 0.082 July 0.089 November 0.079 April 0.081 August 0.089 December 0.083 Source: U.S. Census Bureau A random sample selected from the birth records for a large metropolitan area resulted in the following data:

Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Observed 14 12 12 10 16 9 16 11 17 7 17 9

a. Do these data provide sufficient evidence to reject the claim, “Births occur in this metropolitan area in the same monthly proportions,” as reported by the U.S. Census Bureau? Use

  0.05.

b. Do these data provide sufficient evidence to reject the claim, “Births occur in this metropolitan area in all months with the same likeliness”?

Use   0.05.

c. Compare the results obtained in parts a and b.

State your conclusions.