Question

TYPED ANSWERS ONLY

A social worker notes that in a population of psychiatric inpatients the ethnic mix seems out of balance with what she has understood to be the ratios in the general population. Respond to the prompts below to show how she might determine whether the inpatient ethnic mix varies from the mix in the general population. (1 point each)

• What statistical test would be appropriate to use here? Explain the rationale for your answer.
• What assumptions would need to be met in order to use the test?
• Describe the data that the test would be based on as either quantitative or qualitative. Explain the rationale for your answer.
• Write an example of how the null and alternative hypotheses for this test could be stated.
• What would the researcher need to know in order to calculate the appropriate test statistic? I.e., what values need to be known or calculated in order to complete the calculation of the test statistic?

Answer 1

Solution

A social worker notes that in a population of psychiatric inpatients the ethnic mix seems out of balance with what she has understood to be the ratios in the general population.

a) One sample t test is the statistical test would be appropiate , the average of the populatin ratio of the ethnic mix should be companed with sample of plychiatic imoatient

b) Assumption

• The observation in the sample should be down randomly.
• The population from which the sample down should be namally distributed.
• The population standered deviation is not known.

c) The Data that the test would be based on as quantitative, Here we are comparing the ratio of the ethnic mix data dovicoculy would be quantative

d)  The null and deternative hypothisis for this test could be stated.

Null hypothesis  

sample population

Here there is no evidence that is difference in ethnic mik of the sample and the general population.

Alternative hypothesis

sample population

Here , there is evidence that there is difference in ethnic mix of the sample and the general populatin.

e) The researcher need to known in order to calculate the ppropriate test static

The tese static would be

The values that are needed are