A random sample of 815 births included 434 boys. Use a 0.01 significance level to test the claim that 50.6% of newborn babies are boys. Do the results support the belief that 50.6% of newborn babies are boys? O A. The results do not support the belief that 50.6% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue. O B. The results support the belief that 50.6% of newborn babies are boys because there was no evidence to show that the belief is untrue. O C. The results support the belief that 50.6% of newborn babies are boys because there was sufficient evidence to show that the belief is true. O D. The results do not support the belief that 50.6% of newborn babies are boys; the results merely show that there is not strong evidence against the rate of 50.6%.

Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.29 H1: p>0.29 O B. Ho: p#0.29 H1:p=0.29 O C. Ho: p=0.29 H1:p#0.29 OD. Ho: p=0.29 H1:p<0.29 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. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29%

A concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level.a) The null and alternative hypothesis would be: �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010<�2011 �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010<�2011 b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. There is sufficient evidence to support the claim that the…

In a study of 779 randomly selected medical malpractice lawsuits, it was found that 470 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. C Which of the following is the hypothesis test to be conducted? ⒸA. Ho: p=0.5 O B. Ho: p=0.5 H₁: p > 0.5 H₁: p=0.5 O C. Ho: p=0.5 O D. Ho: p=0.5 H₁: p 0.5 H₁: p=0.5 What is the test statistic? 2=0 (Round to two decimal places as needed.) What is the P-value? P-value= (Round to three decimal places as needed.) Next