Researchers examined the effect of phosphate supplementation on bone formation in 6 healthy adult dogs. For each dog, bone formation was measured twice: once after 12 weeks of phosphate supplementation, and once after a 12-week control period. The results in percent bone growth per year are shown in the table. Do these data provide evidence that phosphate supplementation significantly stimulates bone formation? use alpha = 0.5 Dog ID Control Phosphate use formulas 1.73 8.16 n pairs N 3.37 4.58 x bar of difference 3.59 3.98 mu hypothesized difference 2.05 5.24 of difference 1.86 3.04 3.6 7.03 SE 4 =s/SQRT(s) t or z value A =(x_bar-mu)/SE p_value up to t 1-p 1.000 upper tail 2* ( ) 2.000 edit for two tailed alpha input alpha/2 0.000 which one do you want? t_crit use alpha or alpha/2 m A =t_crit*SE x_bar-m A lower limit x_bar+m A upper limit Type out your answers to the questions below in THIS box 1) State the null and alternative hypotheses for this scenario 2) Compare the p_value to p_critical. Do you "reject" or "not reject" your null hypothesis? In words what does this mean: 3) compare the t_value to t_critical. Do you get the same result? Type in the values and answer below. 4) the spreadsheet should automatically calculate the confidence intervals. Does this confidence interval confirm your conclusions? Type out the values and answer below