The president of Amalgamated Retailers International, SamPeterson, has asked for your assistance in studying the marketpenetration for the company’s new cell phone. You are asked todetermine if the market share is equal to the company’s claim of35%. You obtain a random sample of potential customers from thearea. The sample indicates that 258 out of a total sample of 800indicate they will purchase from Amalgamated
[a] Using a probability of error , test the hypothesis that themarket share equals the company’s claim of 35% versus thehypothesis that the market share is not equal to the company’sclaim.
[b] Using a probability of error , test the hypothesis that themarket share equals the company’s claim of 35% versus thehypothesis that the market share is less than the company’sclaim.
Please Include:
- The problem statement
- Assumptions
- The null and alternate hypothesis statements
- The significance level
- The test statistic (as an equation)
- Decision rules
- The calculated value of the test statistic
- The p-value
- Interpret the results of the test.
