minorfamily2019
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Clinical trials involved treating flu symptoms with a new medicine. Among 724 patients treated
with the medicine, 72 experienced a side effect of nausea. The claim is that the rate of nausea is
greater than the 6% rate experienced by flu patients given a placebo. Find a test statistic of the
proportion.

Sagot :

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:

[tex]H_0: p \leq 0.06[/tex]

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

  • [tex]\overline{p}[/tex] is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are:

[tex]p = 0.06, n = 724, \overline{p} = \frac{72}{724} = 0.0994[/tex]

Hence, the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0994 - 0.06}{\sqrt{\frac{0.06(0.94)}{724}}}[/tex]

[tex]z = 120.1[/tex]

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

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.