A random sample of 858 births included 433 boys. Use a 0.01 significance level to test the claim that 50.7​% of newborn babies are boys. Do the results support the belief that 50.7​% of newborn babies are​ boys? (1) Identify the null and alternative hypotheses for this test. (2) Identify the test statistic for this hypothesis test. ​(Round to two decimal places as​ needed.) (3) Find the p-value (4) Do we reject or fail to reject? Why? (5) Do the results support the claim? Why or why not?

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A random sample of 858 births included 433 boys. Use a 0.01 significance level to test the claim that 50.7​% of newborn babies are boys. Do the results support the belief that 50.7​% of newborn babies are​ boys?

(1) Identify the null and alternative hypotheses for this test.

(2) Identify the test statistic for this hypothesis test. ​(Round to two decimal places as​ needed.)

(3) Find the p-value

(4) Do we reject or fail to reject? Why?

(5) Do the results support the claim? Why or why not?

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