Question

a pharmacist believes the proportion of prescriptions that are antibiotics is decreasing. the pharmacist would like to test the claim that the proportion of prescriptions that are antibiotics is under 52%. using the computed test statistic of −1.89 and the critical value of −1.65, is there enough evidence for the pharmacist to reject the null hypothesis?

Answer 1

Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

What is the null hypothesis?

Conjectures used in statistical tests, which are formal techniques for drawing conclusions or making judgments based on data, include the null hypothesis and the alternative hypothesis. The hypotheses, which are based on a sample of the population, are suppositions regarding a statistical model of the population. The tests are essential components of statistical inference and are frequently used to distinguish between statistical noise and scientific claims when interpreting experimental data in science.

"The null hypothesis is the proposition under investigation in a statistical significance test. The significance test is intended to determine how strong the evidence is against the null hypothesis. The null hypothesis is typically a claim that there is "no effect" or "no difference.H₀ is a common way to represent it.

The alternative hypothesis is the assertion that is being compared against the null hypothesis. Two symbols are H₁ and Hₐ.

Calculation:

Here H₀:  P=0.52

  H₁: P<0.52

Test statistic, Z = -1.89

critical value = -1.65

Decision rule: If zZ< -1.65 we reject H₀ and vice-versa

Since,Z < -1.65 we reject H₀

i.e there is enough evidence for the pharmacist to reject the null hypothesis

Learn more about the null hypothesis here:

brainly.com/question/13776238

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