Question

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. to test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin. the value of the test statistic in this problem is approximately equal to

Answer 1

I think you should try on your own 

Answer 2

The value of the test statistic in this problem is approximately equal to $\frac{0.83-0.9}{\sqrt{\frac{(0.9)(0.1)}{100} } }$

Explanation:

Aspirin also known as acetylsalicylic acid, is a medication used to reduce pain, fever, or inflammation. A test statistic is the random variable that calculated from sample data it used in a hypothesis test. You can use test statistics to determine whether to reject the null hypothesis or not. The test statistic can compare the data with what is expected under the null hypothesis

A survey (a general view, examination, or description of someone or something) claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. to test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 83 who indicate that they recommend aspirin. the value of the test statistic in this problem is approximately equal to $\frac{0.83-0.9}{\sqrt{\frac{(0.9)(0.1)}{100} } }$ where

a = People who indicate that they recommend aspirin = 0.83

b = the actual proportion of doctors who recommend aspirin = 0.9

c =  the actual proportion of doctors who not recommend aspirin = 1-0.9 = 0.1

d = a random sample = 100

$\frac{a-b}{\sqrt{\frac{(b)(c)}{d} } } =\frac{0.83-0.9}{\sqrt{\frac{(0.9)(0.1)}{100} } }$

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