Asked by angela vidal on Jul 28, 2024
Verified
A supermarket chain has its own house brand of ice cream. The general manager claims that her ice cream is better than the ice cream sold by a well-known ice cream parlor chain. To test the claim 40 individuals are randomly selected to participate in the following experiment. Each respondent is given the two brands of ice cream to taste (without any identification) and asked to judge which one is better. Suppose that 25 people judge the ice cream parlor brand better, four say that the brands taste the same, and the rest claim that the supermarket brand is better. Can we conclude at the 1% significance level that the general managers' claim is false?
Test statistic:
z-statistic = ______________
Rejection region:
Reject if the z-statistic ______________.
Conclusion: ______________
We ______________ conclude at the 1% significance level that the general managers' claim is false.
What is the p-value for the above test?
______________
Significance Level
A threshold or probability used in statistical hypothesis testing to determine whether to reject the null hypothesis, often denoted by alpha with a common value of 0.05.
Z-statistic
A statistic that measures the distance in standard deviations of a sample mean from the population mean under the null hypothesis.
Rejection Region
The set of values for which the null hypothesis is rejected in hypothesis testing.
- Understand the application and interpretation of the z-test in comparing two sample means.
- Gain insight into statistical decision-making and hypothesis testing at various significance levels.
- Understand how to calculate p-values and their role in hypothesis testing.
Verified Answer
Learning Objectives
- Understand the application and interpretation of the z-test in comparing two sample means.
- Gain insight into statistical decision-making and hypothesis testing at various significance levels.
- Understand how to calculate p-values and their role in hypothesis testing.
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