The fire department in a large city is examining its promotion policy to assess if there is evidence of age discrimination. A random sample of 248 promotion decisions over the past 5 years gives the following information: 39 or younger 40 or older
Promoted 38 46
Not Promoted 80 84

This data will be used to test if there is a relationship between age and promotion decision.

Required:
a. If there were no relationship between age and whether or not a firefighter was promoted, how many firefighters age 40 or older would we expect to be promoted?
b. What is the value of the Chi-square statistic for this test?

A)

Hence the answer is 44.032.

B)

The value of -test statistic for this test 0.280.

Step-by-step explanation:

A) The number of fire-fighter of age 40 or older to be promoted ith observed value 46 is to be expected 44.032 as calculated above,

So the answer is 44.032.

B) The value of - test statistic is given by the formula,

The value of -test statistic for this test 0.280.

i just took the test, the correct answer is .. 31.5 in.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional