A random sample of 815 births included 427 boys use a 0.5 significance level to test the claim that 51.3% of newborn babies are boys. Do the results support the belief that 51.3% of newborn babies are boys

According to a survey, 7 out of 100 children have food allergies. We want to test the claim that more than 4% of children have food allergies, using a significance level 0.05.

A random sample of 845 births included 435 boys. Use a 0.10 significance level to test the claim that 50.5% of newborn babies are boys. Do the results support the belief that 50.5% of newborn babies are boys? O A. Ho: p=0.505 H₁: p > 0.505 B. Ho: p=0.505 H₁: p<0.505 OC. Ho: p *0.505 H₁: p=0.505 D. H₁: p=0.505 H₁: p *0.505 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 0.57. (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.)

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 311311 people over the age of​ 55, 6060 dream in black and​ white, and among 306306 people under the age of​ 25, 1212 dream in black and white. Use a 0.050.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts​ (a) through​ (c) below. a. Test the claim using a hypothesis test.

In a study of 1228 randomly selected medical malpractice lawsuits, it was found that 856 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that more than 50% of the medical malpractice lawsuits are dropped or dismissed.

Researchers wants to determine if low-fat diets or low-carb diets are more effective for weight loss. Suppose 100 people were placed on a low-fat diet and at the end of 3 months the mean weight loss was 10.5 lbs witha standard deviation of 12.5 lbs. There were another 100 people placed on a low-carb diet and at the end of 3 months the mean weight loss was 16.5 lbs with a standard deviation of 10.2 lbs. Does mean weight lossdiffer between the two diets? What are the hypotheses??