Asked by Hannah Kristen on Jun 10, 2024
Verified
Five types of apples are displayed side by side in several supermarkets in the city of Miami.It was noted that in one day,180 customers purchased apples.Of these,30 picked type A,40 picked type B,25 picked type C,35 picked type D,and 50 picked type E.In Miami,can you conclude at the 5% significance level that there is a preferred type of apples?
Apple Types
Refers to the different varieties or cultivars of apples, distinguished by attributes such as flavor, color, and size.
Preferred Type
The specific category or variant of something that is more desirable or suitable according to an individual's or group's criteria.
Significance Level
The threshold below which the p-value of a statistical test must fall for the result to be considered statistically significant, often denoted as alpha (α).
- Familiarize oneself with the application and interpretation of chi-squared goodness-of-fit tests.
- Find critical values and interpret the consequences of chi-squared tests.
- Administer chi-squared tests across numerous real-world scenarios.
Verified Answer
AW
Angie WilliamsJun 10, 2024
Final Answer :
H0: p1 = p2 = p3 = p4 = p5= .20 H1: At least one proportion differs from their specified values Rejection region: χ2 > χ2.05,4 = 9.488 Test statistic: χ2 = 10.278 Conclusion: Reject H0.There is a preferred brand of apple in Miami,according to the data.
Learning Objectives
- Familiarize oneself with the application and interpretation of chi-squared goodness-of-fit tests.
- Find critical values and interpret the consequences of chi-squared tests.
- Administer chi-squared tests across numerous real-world scenarios.