A study compares changes in bone density in 22 women who are neither pregnant or breastfeeding to that of 47 comparably aged women who are breastfeeding, Table lists percent changes in bone mineral content in the spines of these women.

(a) Run a t-test using SPSS, state the p-value, and determine whether you will accept or reject the null hypothesis.

(b) Calculate the 95% confidence interval for the mean difference in bone loss in the two groups. Discuss your finding. Table Percent change in bone mineral content over three months in the spines of women. Controls 2.4 0.0 0.9 -0.2 1.0 1.7 2.9 -0.6 1.1 -0.1 -0.4 0.3 1.2 -1.6 -0.1 -1.5 0.7 -0.4 2.2 -0.4 -2.2 -0.1 Breast feeders -4.7 -2.5 -4.9 -2.7 -0.8 -5.3 -8.3 -2.1 -6.8 -4.3 2.2 -7.8 -3.1 -1.0 -6.5 -1.8 -5.2 -5.7 -7.0 -2.2 -6.5 -1.0 -3.0 -3.6 -5.2 -2.0-2.1 -5.6 -4.4 -3.3 -4.0 -4.9 -4.7 -3.8 -5.9 -2.5 -0.3 -6.2 -6.8 1.7 0.3 -2.3 0.4 -5.3 0.2 -2.2 -5.1