Question

In: Statistics and Probability

You are determining whether or not 20 healthcare workers surveyed determine whether they are normotensive or...

You are determining whether or not 20 healthcare workers surveyed determine whether they are normotensive or prehypertensive. The 20 healthcare workers were classified as either normal BMI or Overweight. Perform a chi-square test of independence to assess the association between the Blood pressure and the BMI.

Participant Number	BMI category	Codes for BMI status	BP category	Codes for BP category
1	Normal	1	Normotensive	1
2	Normal	1	Normotensive	1
3	Normal	1	Normotensive	1
4	Normal	1	Normotensive	1
5	Normal	1	Normotensive	1
6	Normal	1	Normotensive	1
7	Normal	1	Normotensive	1
8	Normal	1	Prehypertensive	2
9	Normal	1	Prehypertensive	2
10	Normal	1	Prehypertensive	2
11	Overweight	2	Normotensive	1
12	Overweight	2	Normotensive	1
13	Overweight	2	Normotensive	1
14	Overweight	2	Prehypertensive	2
15	Overweight	2	Prehypertensive	2
16	Overweight	2	Prehypertensive	2
17	Overweight	2	Prehypertensive	2
18	Overweight	2	Prehypertensive	2
19	Overweight	2	Prehypertensive	2
20	Overweight	2	Prehypertensive	2

1. Are the results statistically significant at the 0.05 level?

2. Provide a statement of the results, based on the significance of the test. Also, include the statistical notation.

Expert Solution

Hypothesis

Ho: There is no association between Blood pressure and BMI.

H1: There is an association between Blood pressure and BMI.

#### R command

Input =("
Injection.area Normotensive Prehypertensive
Normal 7 3
Overweight 3 7
")

Matrix = as.matrix(read.table(textConnection(Input),
header=TRUE,
row.names=1))
Matrix

## chisq.test(Matrix)

#### End

1. Are the results statistically significant at the 0.05 level?

Ans: The p-value is 0.1797 and greater than 0.05 level of significance. Hence, fail to reject the null hypothesis and the results do not statistically significant at the 0.05 level.

2. Provide a statement of the results, based on the significance of the test. Also, include the statistical notation.

Ans: There is no association between Blood pressure and BMI.

orchestra answered 2 years ago

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