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
icon
Related questions
Topic Video
Question
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
< Prev
12 of 12
Next >
re to search
.
S:14
3/21/2
ort sc
delete
home
end
%23
%24
&
3
8
9
backspace
um
lock
E
R
T.
Y
O
home
G
J
K
enter
pause
V
t shift
alt
ctrl
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 < Prev 12 of 12 Next > re to search . S:14 3/21/2 ort sc delete home end %23 %24 & 3 8 9 backspace um lock E R T. Y O home G J K enter pause V t shift alt ctrl
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?
< Prev
12 of 12 !
Next >
re to search
NOA 49
515
3/21/
144
wwort sc
delete
home
end
%24
&
3
6
8
9
backspace
Tum
lock
R
T.
Y
U
home
D
F
J
K
L
enter
4.
pause
M
↑ shift
alt
ctrl
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? < Prev 12 of 12 ! Next > re to search NOA 49 515 3/21/ 144 wwort sc delete home end %24 & 3 6 8 9 backspace Tum lock R T. Y U home D F J K L enter 4. pause M ↑ shift alt ctrl
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman