We have the age distribution in percentages for the whole United States according to the 2010 US Census in the following table. Besides, we have the age distribution in individuals for a simple random sample of 1986 Texans in 2010. At = 0.05, you will need to test if the Texas sample's age distribution is the same as the U.S. overall age distribution in 2010.

(a)[1] Form the null and alternative hypotheses H and H. Make a sketch of the test.

(b)[1] Specify appropriate equations for the statistic and degrees of freedom df. (

c)[1] Based on the U.S. overall age distribution, calculate expected frequencies.

(d)[2] Given the expected and observed frequencies, calculate the statistic and its df.

(e)[1] Given = 0.05 and df, use CHISQ.INV(*,*) to look up for the critical value *.

(f)[2] Compare statistic with * critical to accept or reject H. Interpret your result.

(g)[2] Sketch and find the pvalue of the test. Make a comment based on the pvalue.

Age Range Whole U.S. TX Sample (people)

Under 5 years 6.54% 152

5 to 9 years 6.59% 152

10 to 14 years 6.70 % 149

15 to 19 years 7.14% 149

20 to 24 years 6.99% 144

25 to 29 years 6.83 % 146

30 to 34 years 6.47% 139

35 to 39 years 6.54% 139

40 to 44 years 6.77% 134

45 to 49 years 7.36% 139

50 to 54 years 7.22% 132

55 to 59 years 6.37% 112

60 to 64 years 5.45% 93

65 to 69 years 4.03% 67

70 to 74 years 3.01% 49

75 to 79 years 2.37% 38

80 to 84 years 1.86% 27

85 years and over 1.76% 25

Total: 100%