Q1) Charmers' Candy Store sells wrapped hard candies in following flavours: lime, strawberry, blueberry, lemon, and orange. They advertise that there are equivalent proportions of each flavour in every size of their candy boxes. To test their claim, parent opens her son's candy box and counts each flavour. On next page are mom's observations for large box that contains 100 candies.
Fill in the table, and carry out a one-dimensional Chi Square goodness of fit test.
Category
|
O (Observed Frequency)
|
E (Expected Frequency)
|
D (difference)
|
(O - E) squared
|
(O-E)sqd/E
|
Strawberry
|
15
|
|
|
|
|
Blueberry
|
20
|
|
|
|
|
Lemon
|
21
|
|
|
|
|
Lime
|
19
|
|
|
|
|
Orange
|
25
|
|
|
|
|
Total
|
|
|
|
|
|
a) Complete the table.
b) Set up a hypothesis test. Is Charmers' truthful? Describe by working through hypothesis test.
H0:
H1:
CV: (Use Table B.5) =
TS (Show procedure.): =
Decision and Conclusion: