Question

In: Statistics and Probability

The following data shows the age at diagnosis of type ii diabetes in young adults. Is...

The following data shows the age at diagnosis of type ii diabetes in young adults. Is the age at diagnosis different for males and females ? Mann-Whitney.

MALES 19 22 16 29 24

FEMALES 20 11 17 12

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Expert Solution

The following data shows the age at diagnosis of type ii diabetes in young adults. Is the age at diagnosis different for males and females ? Mann-Whitney.

MALES 19 22 16 29 24

FEMALES 20 11 17 12

Wilcoxon - Mann/Whitney Test

n

sum of ranks

5

32

MALES

4

13

FEMALES

9

45

total

25.00

expected value

4.08

standard deviation

1.59

z

.1113

p-value (two-tailed)

No.

Label

Data

Rank

1

MALES

19

5

2

MALES

22

7

3

MALES

16

3

4

MALES

29

9

5

MALES

24

8

6

FEMALES

20

6

7

FEMALES

11

1

8

FEMALES

17

4

9

FEMALES

12

2

η₁: median of control

η₂: median of inbred

Difference: η₁ - η₂

Null hypothesis

H₀: η₁ - η₂ = 0

Alternative hypothesis

H₁: η₁ - η₂ ≠ 0

Calculated z= 1.59, P=0.1113 which is > 0.05 level of significance.

Ho is not rejected.

There is not sufficient evidence to conclude that the age at diagnosis are different for males and females .


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