Check whether the data provide sufficient evidence to indicate that one of gourmets tends to give higher ratings than the other.
Answer to Problem 62SE
The conclusion is that the data provide sufficient evidence to indicate that one of gourmets tends to give higher ratings than the other.
Explanation of Solution
The hypotheses are given below:
Null hypothesis:
Alternative hypothesis:
Consider, the p-value is the probability of gourmet A’s rating exceeds gourmet B’s rating for a given meal.
From the given table, the number of gourmet A’s rating exceeds gourmet B’s rating for a given meal is 4. Hence, the test statistic (M) is 4.
The p-value is obtained below:
Thus, the p-value is 0.04904.
Decision rule:
If
Conclusion:
Here, the p-value is almost equal to the significance level 0.05.
From the rejection rule, the null hypothesis is rejected.
Hence, it can be concluded that the data provide sufficient evidence to indicate that one of gourmets tends to give higher ratings than the other.
Want to see more full solutions like this?
Chapter 15 Solutions
Mathematical Statistics with Applications
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL