Question

Consider a drug that is used to help prevent blood clots in certain patients. In clinical​ trials, among 6108 patients treated with this​ drug, 159 developed the adverse reaction of nausea. Use a 0.10 significance level to test the claim that 3​% of users develop nausea. Does nausea appear to be a problematic adverse​ reaction?

Identify the test statistic for this hypothesis test is?

Identify the P value

Answer 1

Concepts and reason

Hypothesis testing is a statistical method that is used in making statistical decisions using experimental data.

Hypothesis testing is basically an assumption that we make about the population parameter. It is introduced by the Ronald Fisher.

Hypothesis testing for single proportion is used to test whether the sample proportion is a good factor to the population proportion or not.

Fundamentals

The formula for the calculating the point estimate that the difference between the sample proportion and population proportion is,

The formula for the test statistic for single proportion is,

The Excel’s formula for the p-value of test statistic is,

From the information, observe that a drug is used to help prevent blood clots in certain patients.

Consider a random sample of 6108 patients; observe that 159 developed the adverse reaction of nausea.

The level of significance is,

The Null and Alternative hypothesis are,

Null hypothesis, There is no significant difference between the sample proportion and population proportion of 3%.

That is,

Alternative hypothesis, There is significant difference between the sample proportion and population proportion of 3%.

That is,

The sample proportion is,

Calculate the test statistic is,

The calculated test statistic value is,

The p-value is,

Ans:

The calculated test statistic value is,

The calculated p-value is 0.0690