The margarita is one of the most common tequila-based cocktails, made with tequila mixed with triple sec and lime or lemon juice, often served with salt on the glass rim. A common ratio for a margarita is 2:1:1, which includes 50% tequila, 25% triple sec, and 25% fresh lime or lemon juice. A manager at a local bar is concerned that the bartender uses incorrect proportions in more than 50% of margaritas. He secretly observes the bartender and finds that he used the correct proportions in only 10 out of 30 margaritas. Test if the manager's suspicion is justified at a= 0.05. Let prepresent incorrect population proportion. (You may find it useful to reference the appropriate table: z table or t table)
The margarita is one of the most common tequila-based cocktails, made with tequila mixed with triple sec and lime or lemon juice, often served with salt on the glass rim. A common ratio for a margarita is 2:1:1, which includes 50% tequila, 25% triple sec, and 25% fresh lime or lemon juice. A manager at a local bar is concerned that the bartender uses incorrect proportions in more than 50% of margaritas. He secretly observes the bartender and finds that he used the correct proportions in only 10 out of 30 margaritas. Test if the manager's suspicion is justified at a= 0.05. Let prepresent incorrect population proportion. (You may find it useful to reference the appropriate table: z table or t table)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Exercise 9-65 Static
The margarita is one of the most common tequila-based cocktails, made with tequila mixed with triple sec and lime or lemon juice,
often served with salt on the glass rim. A common ratio for a margarita is 2:1:1, which includes 50% tequila, 25% triple sec, and 25%
fresh lime or lemon juice. A manager at a local bar is concerned that the bartender uses incorrect proportions in more than 50% of
margarítas. He secretly observes the bartender and finds that he used the correct proportions in only 10 out of 30 margaritas. Test if
the manager's suspicion is justified at a = 0.05. Let prepresent incorrect population proportion. (You may find it useful to reference
the appropriate table: z table or t table)
a. Select the null and the alternative hypotheses.
O Hg: p - 0.50; Ha: p+ 0.50
O Hg: p s 0.50; HA: p > 0.50
O Hg: p 2 0.50; HA: p< 0.50
b. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
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Transcribed Image Text:e. Calculate the value of test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimat
places.)
Test statistic
d. Find the p-value.
O pvalue <0.01
O 0.01< p-values0.025
O 0.025 < p-value s0.05
O0.05 < p-value s0.10
O pvalue >0.10
e. At the 5% significance level, what is the conclusion?
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