Asked by Kaden Evans on May 03, 2024
Verified
A Deli proposes to serve 4 main Sandwiches.For planning purposes,the manager expects that the proportions of each that will be selected by her customers will be: 
Of a random sample of 100 customers,44 selected chicken,24 selected roast beef,13 selected Pastrami,and 10 selected tuna.Should the manager revise her estimates? Use α = .01.
Proportions
Ratios that compare the part of a whole to the whole itself, often expressed in terms of a fraction or percentage.
Chi-squared Goodness-of-fit Test
A statistical test used to determine whether observed frequencies differ significantly from expected frequencies specified by a theoretical distribution.
- Achieve an understanding of the application and interpretation of chi-squared goodness-of-fit tests.
- Work out critical values and interpret the implications of chi-squared tests.
- Formulate hypotheses (null and alternative) for the assessment of goodness-of-fit tests.
Verified Answer
ZK
Zybrea KnightMay 06, 2024
Final Answer :
H0: p1 = .50,p2 = .20,p3 = .10,p4 = .20 H1: At least one proportion differs from their specified values Rejection region: χ2 > χ2.01,3 = 11.345 Test statistic: χ2 = 7.264 Conclusion: Cannot reject the null hypothesis.The manager should not revise her estimates,according to the data.
Learning Objectives
- Achieve an understanding of the application and interpretation of chi-squared goodness-of-fit tests.
- Work out critical values and interpret the implications of chi-squared tests.
- Formulate hypotheses (null and alternative) for the assessment of goodness-of-fit tests.