Stats: Veggie Cuisine, Home Delivery
Autor: vivianjh • May 22, 2016 • Case Study • 940 Words (4 Pages) • 749 Views
Case 1: Home Delivery
- The population proportion of home delivery sales is: [pic 1]
Step 1: State Hypothesis H0: p = 0.2455
H1: p > 0.2455
Summary of telephone survey results of 400 households:
Delivery Service? | Total |
1 (no) | 287 |
2(yes) | 113 |
Total | 400 |
The sample proportion is: [pic 2]
Step 2: Test Statistics
The value of the test statistic is: [pic 3][pic 4]
Step 3: Rejection Region
α = 0.05
The rejection region is one tailed positive: [pic 5]
The test statistic z = 1.72 > 1.645.
Step 4: Conclusion
Therefore, Reject H0.There is enough evidence to conclude that the campaign increases home delivery sales.
- In order for the campaign to be successful, home-delivery sales must increase to more than 110,000 households. Thus, the population proportion must be more than:
[pic 6]
H0: p = 0.2588
H1: p > 0.2588
Summary of telephone survey results of 400 households:
Delivery Services? | Total |
1 (no) | 287 |
2(yes) | 113 |
Total | 400 |
The sample proportion is: [pic 7]
The value of the test statistic is:
[pic 8][pic 9]
[pic 10]
α = 0.05
0.1401 > = 0.05 meaning the error in the test is greater than the error established
Therefore, do not reject H0. No, the data do not allow the publisher to conclude that the campaign is successful.
[pic 11]
The confidence level = 0.95.
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