In: Statistics and Probability
The SATA MiniMart sells five different types of teddy bears. The
manager reports that the fivetypes...
The SATA MiniMart sells five different types of teddy bears. The
manager reports that the fivetypes are equally popular. Suppose
that a sample of 100 purchases yields observed counts 25, 19,15,
17, and 24 for types 1, 2, 3, 4, and 5, respectively.
Type |
1 |
2 |
3 |
4 |
5 |
Number |
25 |
19 |
15 |
17 |
24 |
Use a 0.10 significance level to test the claim that the five
types are equally popular.
- (a)Identify the appropriate hypothesis test and explain the
reasons why it is appropriate for analyzingt his data.
- (b)Identify the null hypothesis and the alternative
hypothesis.
- (c)Determine the test statistic. (Round your answer to two
decimal places)
- (d)Determine the p-value. (Round your answer to two decimal
places)
- (e)Compare p-value and significance level α. What decision
should be made regarding the null hypothesis (e.g., reject or fail
to reject) and why?
- (f)Is there sufficient evidence to support the claim that the
five types are equally popular? Justify your answer