contestada

June is a researcher. She read a 2016 study that published the following population distribution for Americans:
Age group
0
00-
18
1818
19
1919-
25
2525
26
2626-
34
3434
35
3535-
54
5454
55
5555-
64
6464
65
+
65+65, plus
Percentage
24
%
24%24, percent
9
%
9%9, percent
12
%
12%12, percent
26
%
26%26, percent
13
%
13%13, percent
15
%
15%15, percent
She wonders if these figures still hold true, so she takes a sample of
38
3838 Americans and records their ages. Here are the results:
Age group
0
00-
18
1818
19
1919-
25
2525
26
2626-
34
3434
35
3535-
54
5454
55
5555-
64
6464
65
+
65+65, plus
Observed counts
9
99
3
33
5
55
10
1010
5
55
6
66
June wants to use these results to carry out a
χ
2
χ
2
\chi, squared goodness-of-fit test to determine if her sample disagrees with the official percentages.
Which count(s) make this sample fail the large counts condition for this test?

Respuesta :

Parrain

Based on the results of June's research, the counts that fail the large counts condition are:

  • The expected count of the 19-25 age group.
  • The expected count of the 26-34 age group.
  • The expected count of the 55-64 age group.

Why do these groups fail the large counts condition?

The large counts condition is that the expected value of each observed category should be at least 5.

Expected values of each age group can be found by multiplying the percentage found in the 2016 study by the sample size in the sample June took.

Age group                Percentage        Expected value (38 x percentage)

0 - 18                               24%                                9.12

19 - 25                             9%                                  3.42

26 - 34                            12%                                 4.56

35 - 54                            26%                                9.88

55 - 64                            13%                                 4.94  

65+                                  15%                                 5.7

The expected values less than 5 are 19 - 25, 26 - 34, and 55 - 64.

Find out more on the sampling conditions at https://brainly.com/question/1601772.

Ver imagen Parrain

Otras preguntas