Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table. Owns Dog Does Not Own Dog Measure of HRV (Average Normal-to-Normal Beat Interval) Mean P-value= 877 800 Standard Deviation 137 132 The authors of this paper used a two-sample t test to test H, H₂H₂0 versus H: ₁-₂0 assuming equal population variances. The paper indicates that the null hypothesis was rejected and reported that the P-value was less than 0.05. Carry out the two-sample t test from this paper. (Use a 0.05. Use u, for heart attack patients who are dog owners and for heart attack patients who do not own a dog.) Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t= State the conclusion in the problem context. Is your conclusion consistent with the one given in the paper? O We fail to reject H. We do not have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is not consistent with the one given in the paper. O We reject H. We do not have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is consistent with the one given in the paper. O We reject H. We have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is consistent with the one given in the paper. O We fail to reject Ho. We have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is not consistent with the one given in the paper.