A random sample of 863 births in a state included  429 boys. Construct a  95​% confidence interval estimate of the proportion of boys in all births. It is believed that among all​ births, the proportion of boys is  0.514. Do these sample results provide strong evidence against that​ belief?   Construct a 95​% confidence interval estimate of the proportion of boys in all births.   Do these sample results provide strong evidence against that​ belief?     A. There is not strong evidence against 0.514 as the value of the proportion of boys in all births because  0.514 is not contained within the 95% confidence interval.     B. There is strong evidence against 0.514 as the value of the proportion of boys in all births because 0.514 is not contained within the 95% confidence interval.     C. There is strong evidence against 0.514 as the value of the proportion of boys in all births because 0.514 is contained within the 95% confidence interval.     D. There is not strong evidence against 0.514 as the value of the proportion of boys in all births because 0.514 is contained within the 95% confidence interval.

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