Question

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.

A)What statistical test would be appropriate to use here?Explain the rationale for your answer.

B) What assumptions would need to be met in order to use the test?

C) Describe the data that the test would be based on as either quantitative or qualitative. Explain the rationale for your answer.

D)Write an example of how the null and alternative hypotheses for this test could be stated.

E) 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)The statistical test what that would be appropriate is "one sample t test". the
average of the population ratio of the ethnic mix should be compared with the
sample of psychiatric impatients.

(b answer):

Assumptions:
. The population from which the sample is drawn should be normally distributed.

. The population standard deviation is not known.

. The observations in the sample should be drawn randomly.

(c answer):

Here we are looking at the proportion of the ethnic blend information clearly would be quantitative(The variable that the records a numerical quantityis named as quantative variables.In different words, these factors can be checked or estimated).

(D answer):

Null hypothesis:

H0:Sample Population

So that there is no evidence that there is difference in ethnic mix of the sample and general population.

Alternative hypothesis:

H0:SamplePopulation

Hence,that there is evidencethat there is difference in ethmic mix of sample and the general population.

(e answer):

we know that

The formula of test statistic is given by

t=x'-/s/root of n

where

x'=Sample mean

S=Sample standard deviation

=Population mean

n=Sample size