Do the results support the belief that 50.9​% of newborn babies are​ boys?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC.

 

A random sample of 864 births included 433 boys. Use a 0.05 significance level to test the claim that 50.9% of newborn babies are boys. Do the results support the belief that 50.9​% of newborn babies are​ boys?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

H0​: p=0.509

H1​: p<0.509

B.

H0​: p≠0.509

H1​: p=0.509

C.

H0​: p=0.509

H1​: p>0.509

D.

H0​: p=0.509

H1​: p≠0.509

 

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

​(Round to two decimal places as​ needed.)

 

 

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is

​(Round to three decimal places as​ needed.)

 

 

Identify the conclusion for this hypothesis test.

  1. Reject H0. There is sufficient evidence to warrant rejection of the claim that 50.9​% of newborn babies are boys.
  2. Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.9​% of newborn babies are boys.
  3. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that 50.9​% of newborn babies are boys.
  4. Reject H0. There is not sufficient evidence to warrant rejection of the claim that 50.9​% of newborn babies are boys.

 

Do the results support the belief that 50.9​% of newborn babies are​ boys?

  1. The results support the belief that 50.9​% of newborn babies are boys because there was no evidence to show that the belief is untrue.
  2. The results support the belief that 50.9​% of newborn babies are boys because there was sufficient evidence to show that the belief is true.
  3. The results do not support the belief that 50.9​% of newborn babies are​ boys; the results merely show that there is not strong evidence against the rate of 50.9​%
  4. The results do not support the belief that 50.9​% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue.
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