Question

Clinical trials involved treating flu symptoms with a new medicine. Among 724 patients treated

Answer 1

According to the null hypothesis, the test statistic of the proportion is of z = 120.1.

What is the null hypothesis?

The claim is that the rate of nausea is greater than the 6% rate experienced by flu patients given a placebo. At the null hypothesis, we consider the claim as false, hence the null hypothesis is:

$H_0: p \leq 0.06$

What is the test statistic?

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

• $\overline{p}$ is the sample proportion.

• p is the proportion tested at the null hypothesis.

• n is the sample size.

In this problem, the parameters are:

$p = 0.06, n = 724, \overline{p} = \frac{72}{724} = 0.0994$

Hence, the test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.0994 - 0.06}{\sqrt{\frac{0.06(0.94)}{724}}}$

$z = 120.1$

You can learn more about test statistic at brainly.com/question/16313918