Takeout Food A magazine article reported that 15% of adults buy takeout food every day. A fast-food restaurant owner surveyed 190 customers and found that 34 said that they purchased takeout food every day. At a=0.10, is there evidence to believe the article's claim? Use the critical value method with tables. Do not round intermediate steps. Part: 0 / 5 Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: (Choose one) ▼ H : (Choose one) ▼ This hypothesis test is hoose one) ▼ test.
Takeout Food A magazine article reported that 15% of adults buy takeout food every day. A fast-food restaurant owner surveyed 190 customers and found that 34 said that they purchased takeout food every day. At a=0.10, is there evidence to believe the article's claim? Use the critical value method with tables. Do not round intermediate steps. Part: 0 / 5 Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: (Choose one) ▼ H : (Choose one) ▼ This hypothesis test is hoose one) ▼ test.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
The first pic is the question, since I’ve been receiving some incorrect answers from the tutors, I included an example problem in the second pic
![Sample Question
Takeout Food A magazine article reported that 10% of adults buy takeout food every day. A fast-food restaurant
owner surveyed 196 customers and found that 32 said that they purchased takeout food every day. At a= 0.05, is
there evidence to believe the article's claim? Use the critical value method with tables. Do not round intermediate
steps.
(a) State the hypotheses and identify the claim.
(b) Find the critical value(s).
(c) Compute the test value.
(d) Make the decision.
(e) Summarize the results.
Explanation
(a) State the hypotheses and identify the claim.
The null hypothesis H, is the statement that there is no difference between a parameter and a specific value. This is
equivalent to Ho:p=0.10.
The alternative hypothesis H, is the statement that there is a difference between a parameter and a specific value.
In this case, the percentage of adults who buy takeout food is different than 10%. This is equivalent to H, :p+0.10.
The problem asks, "Can it be concluded that 10% of adults buy takeout food every day?"
Hence, the claim is the null hypothesis.
(b) Find the critical value(s).
From the figure below, for a two-tailed test with a= 0.05, the critical values are z=t1.96.
a = 0.10, C.V.=±1.65
a=0.05, C.V.-±1.96
Ho:p=k
H :p+k
a=0.01, C.V.=±2.58
(c) Compute the test value.
Formula for the : Test for Proportions
P-P
Vpg'n
X
where p-= sample proportion
p= population proportion
q=1-p
n= sample size
First, it is necessary to find p, p, and q.
X
32
196
=0.163
p = 10%
= 0.10
9-1-p
-1-0.10
= 0.9
Using the formula for the z-test for proportions, compute the test value.
P-P
Vpgln
0.163 -0.10
V(0.10)(0.9)/196
= 2.94
Hence, the test value, rnunded to 2 decimal nlaces, is z=2 94](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2F2cd85fea-29b4-4c86-9a47-554e7c9b85c1%2F4qd1asj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sample Question
Takeout Food A magazine article reported that 10% of adults buy takeout food every day. A fast-food restaurant
owner surveyed 196 customers and found that 32 said that they purchased takeout food every day. At a= 0.05, is
there evidence to believe the article's claim? Use the critical value method with tables. Do not round intermediate
steps.
(a) State the hypotheses and identify the claim.
(b) Find the critical value(s).
(c) Compute the test value.
(d) Make the decision.
(e) Summarize the results.
Explanation
(a) State the hypotheses and identify the claim.
The null hypothesis H, is the statement that there is no difference between a parameter and a specific value. This is
equivalent to Ho:p=0.10.
The alternative hypothesis H, is the statement that there is a difference between a parameter and a specific value.
In this case, the percentage of adults who buy takeout food is different than 10%. This is equivalent to H, :p+0.10.
The problem asks, "Can it be concluded that 10% of adults buy takeout food every day?"
Hence, the claim is the null hypothesis.
(b) Find the critical value(s).
From the figure below, for a two-tailed test with a= 0.05, the critical values are z=t1.96.
a = 0.10, C.V.=±1.65
a=0.05, C.V.-±1.96
Ho:p=k
H :p+k
a=0.01, C.V.=±2.58
(c) Compute the test value.
Formula for the : Test for Proportions
P-P
Vpg'n
X
where p-= sample proportion
p= population proportion
q=1-p
n= sample size
First, it is necessary to find p, p, and q.
X
32
196
=0.163
p = 10%
= 0.10
9-1-p
-1-0.10
= 0.9
Using the formula for the z-test for proportions, compute the test value.
P-P
Vpgln
0.163 -0.10
V(0.10)(0.9)/196
= 2.94
Hence, the test value, rnunded to 2 decimal nlaces, is z=2 94
![Takeout Food A magazine article reported that 15% of adults buy takeout food every day. A fast-food restaurant owner
surveyed 190 customers and found that 34 said that they purchased takeout food every day. At a=0.10, is there evidence
to believe the article's claim? Use the critical value method with tables. Do not round intermediate steps.
Part: 0 / 5
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho:
(Choose one) ▼
H :
(Choose one) ▼
This hypothesis test is
Choose one) ▼
test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febd74823-85a4-4e17-8104-3bda7cea3b95%2F2cd85fea-29b4-4c86-9a47-554e7c9b85c1%2F3m97j7l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Takeout Food A magazine article reported that 15% of adults buy takeout food every day. A fast-food restaurant owner
surveyed 190 customers and found that 34 said that they purchased takeout food every day. At a=0.10, is there evidence
to believe the article's claim? Use the critical value method with tables. Do not round intermediate steps.
Part: 0 / 5
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho:
(Choose one) ▼
H :
(Choose one) ▼
This hypothesis test is
Choose one) ▼
test.
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