A random sample of 864 births in a state included 428 boys. Construct a 95% confidence interval estimate of the proportion of

Question

A random sample of 864 births in a state included 428 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 0.506. Do these sample results provide strong evidence against that belief?

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