Question

In: Statistics and Probability

Please find the mean, mode, medium as applicable. This is data collected based off an observational...

Please find the mean, mode, medium as applicable. This is data collected based off an observational study I conducted. The data was collected to see if male or females actively or passively interacted with the the barista while placing their order. This first table is the study of both locations compressed in to one table. The second table is data that is specific to the location. Please include/ find P value and stats!

Gender Observed Active Passive
Male 26 18 8
Female 21 15 6
Total 47 33 14
Location Observed Active Passive
Panera (PM) 27 21 6
Dunkin (AM) 20 10 10
Total 47 21 16

Solutions

Expert Solution

Please find the mean, mode, medium as applicable. This is data collected based off an observational study I conducted. The data was collected to see if male or females actively or passively interacted with the the barista while placing their order. This first table is the study of both locations compressed in to one table. The second table is data that is specific to the location. Please include/ find P value and stats!

Gender

Observed

Active

Passive

Male

26

18

8

Female

21

15

6

Total

47

33

14

Location

Observed

Active

Passive

Panera (PM)

27

21

6

Dunkin (AM)

20

10

10

Total

47

21

16

First table:

Chi-Square Test

Observed Frequencies

Column variable

Calculations

Row variable

Observed

Active

Passive

Total

fo-fe

Male

26

18

8

52

0.0000

-0.2553

0.2553

Female

21

15

6

42

0.0000

0.2553

-0.2553

Total

47

33

14

94

Expected Frequencies

Column variable

Row variable

Observed

Active

Passive

Total

(fo-fe)^2/fe

Male

26

18.2553

7.7447

52

0.0000

0.0036

0.0084

Female

21

14.7447

6.2553

42

0.0000

0.0044

0.0104

Total

47

33

14

94

Data

Level of Significance

0.05

Number of Rows

2

Number of Columns

3

Degrees of Freedom

2

Results

Critical Value

5.9915

Chi-Square Test Statistic

0.0268

p-Value

0.9867

Do not reject the null hypothesis

 
Calculated chi square =0.0268
DF=2
Chi square value at 0.05 level =5.991
Calculated chi square =0.0268 < 5.991 the table value.
The null hypothesis is not rejected.
P value= 0.9867
 

There is no association between gender and actively or passively interacted with the barista while placing order.

Second table:

Chi-Square Test

Observed Frequencies

Column variable

Calculations

Row variable

Observed

Active

Passive

Total

fo-fe

Panera (PM)

27

21

6

54

0.0000

3.1915

-3.1915

Dunkin (AM)

20

10

10

40

0.0000

-3.1915

3.1915

Total

47

31

16

94

Expected Frequencies

Column variable

Row variable

Observed

Active

Passive

Total

(fo-fe)^2/fe

Panera (PM)

27

17.8085

9.1915

54

0.0000

0.5720

1.1082

Dunkin (AM)

20

13.1915

6.8085

40

0.0000

0.7721

1.4960

Total

47

31

16

94

Data

Level of Significance

0.05

Number of Rows

2

Number of Columns

3

Degrees of Freedom

2

Results

Critical Value

5.9915

Chi-Square Test Statistic

3.9483

p-Value

0.1389

Do not reject the null hypothesis

Calculated chi square =3.948
DF=2
Chi square value at 0.05 level =5.991
Calculated chi square =3.948 < 5.991 the table value.
The null hypothesis is not rejected.
P value= 0.1389

There is no association between location and actively or passively interacted with the barista while placing order.


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