Question

Can you support the claim that Age of 1^st Child’s Birth and Number of Children are correlated? (alpha = .05)

Questions 13 to 16 The National Opinion Research Center administered the General Social Survey (GSS) in 2010 to persons in the United States 18 years of age or older. One question participants were asked was, “How many children have you ever had?” Another question asked, “How old were you when your first child was born?“ Below are the responses of 10 people. Data and MINITAB output shown below. 55 2 1 Age at 1st Child's Birth 13 15 18 21 22 25 32 37 41 Number of Children 8 4 6 4 3 4 2 3 The regression equation is Number of Children = 6.949 - 0.1164 Age at 1st Child's Birth S = 1.44229 R-Sg = Fitted Line Plot Number of Children - 5.943 -0.154 Age at Lot Child's Birch Analysis of Variance F 10.32 Source Regression Error Total MS 21.4584 2.0902 P 0.012 DF SS 1 21.4584 16.6416 39.1000 0 0 Number of Cliken 50 20 Age alt Oild's Birth

Yes OR No

Answer 1

H₀ : Age of 1 st child's Birth and Number of chidren are not correlated

H₁ : Age of 1 st child's Birth and Number of chidren are correlated.

R -square = 1 - (SS_regression / TSS )

Where , SS_regression = Sum of squares due to regression

             TSS = Total sum of squares

R - square = 1 - (21.4584 / 38.1000)

R - square = 0.4368

and from analysis,

p - value = 0.012 which is less than α = 0.05

Hence, we reject H₀

Therefore, we support the claim that there is sufficient evidence that Age of 1 st child's Birth and Number of

children are correlated