30 bags of a certain candy were opened. The candy comes in 5 different ...

  

Scenario

30 bags of a certain candy were opened. The candy comes in 5 different colors: red and blue. The number of each color of candy per bag was counted and recorded.

  

Bag 

Red 

Blue 

 

1

3

5

 

2

7

3

 

3

1

1

 

4

2

7

 

5

0

5

 

6

0

2

 

7

4

3

 

8

3

2

 

9

1

4

 

10

5

4

 

11

2

2

 

12

2

2

 

13

2

3

 

14

3

1

 

15

2

2

 

16

3

5

 

17

5

1

 

18

4

4

 

19

3

0

 

20

3

3

 

21

5

0

 

22

3

3

 

23

1

2

 

24

4

4

 

25

2

2

 

26

1

2

 

27

3

5

 

28

4

1

 

29

3

4

 

30

5

1

Requirements

Using the information from the scenario and the results from your previous assignments, write a pair of hypothesis for each of the claims and perform the hypothesis test. Be sure to list α, critical values, standardized test statistics, P-values, and decision. Interpret the results.

1. With 90% confidence, the average number of red candies is 3.

2. With 99% confidence, the average number of blue candies is less than 2.5.