In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug experience relief. Make sure to do all of the following steps: Summarize the given information, check the condition, and identify
the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

The null hypothesis is  

The Alternative hypothesis is

The test statistics is  

The conclusion

There is no sufficient evidence to draw the conclusion that  more than half of those that are used the drug experienced relief

Step-by-step explanation:

From the question we are told that

        The number of subjects reported experiencing significant relief from their symptoms is

        The sample size  is  

         The level of significance is  

The objective of this  experiment is to know whether more than half of those who took the drug where relieved  

The null hypothesis is  

The Alternative hypothesis is

Where p is the population proportion.

 Generally the sample proportion. is mathematically represented as

Now the test statistics is mathematically represented as

substituting values

Generally the p-value is mathematically evaluated using Excel formula as

Comparing the p-value to the level of significance we see that the  p-value  is greater than the level of significance

   This means the the null hypothesis would not be rejected

Hence there is no sufficient evidence to draw the conclusion that there are more than half of those that are using the drug  experience relief

the missing leg length is 2√70.

Step-by-step explanation:

This is a right triangle in which the hypotenuse is 19 ft and one of the legs is 9 ft.  Using the Pythagorean Theorem, we find the length of the other leg:

x^2 = (19 ft)^2 - (9 ft)^2 = 361 - 81 = 280, or 4*70

Then the missing leg length is √4√70, or 2√70.