You are going to create your own problem from the topics that were covered from the material for that chapter. You can make the problem similar to questions from the textbook, homework, or notes. DO NOT COPY AN EXAMPLE WITH THE SAME NUMBERS. THAT IS CHEATING

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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You are going to create your own problem from the topics that were covered from the material for that chapter. You can make the problem similar to questions from the textbook, homework, or notes. DO NOT COPY AN EXAMPLE WITH THE SAME NUMBERS. THAT IS CHEATING
Create your problem:
Researchers announced that 20% of all Italians living in Italy drive American
cars. A random sur vey was conducted to 100 Italians with cars, and it was found
that 40 out of 100 have an American car. Is there enough evidence at the 5%
level that 20% or more of Italians have American cars?
Step #1 Hypothesize:
List what is given:
p=0.20 p=40/100= 0.40 n=100 x = 0.05
List your Ho and Ha:
Ho: p= 0.20 The portion of Italians with a car which is an American car is 20%.
Hai p>0.20 The portion of Italians with a car which is an Amcrican car is greater than 20%.
Step #2 Check the conditions:
Condition 1: Random and independent → Randomis stated in the problem.
Condition 2: Large sample rule→The population is at least 10 times as large as the sample.
> 10(samplc size)
All Italians living in Italy > 10(100)=1,000
Condition 3: Big population rule n-PZIO
Βρation
n(l-p)Z 10
100(1-0-20) ZIO
100 (0.20) ZIO
20 Z10 ♡
80 Z 10 V
Step #3 Find the SE and Z-Score :
SE= 0.20(1-0.20) = 0.04
100
Z= ê-R.
SE
Z=040-0.20
0.04
=5
Test statistics: Z=5
Transcribed Image Text:Create your problem: Researchers announced that 20% of all Italians living in Italy drive American cars. A random sur vey was conducted to 100 Italians with cars, and it was found that 40 out of 100 have an American car. Is there enough evidence at the 5% level that 20% or more of Italians have American cars? Step #1 Hypothesize: List what is given: p=0.20 p=40/100= 0.40 n=100 x = 0.05 List your Ho and Ha: Ho: p= 0.20 The portion of Italians with a car which is an American car is 20%. Hai p>0.20 The portion of Italians with a car which is an Amcrican car is greater than 20%. Step #2 Check the conditions: Condition 1: Random and independent → Randomis stated in the problem. Condition 2: Large sample rule→The population is at least 10 times as large as the sample. > 10(samplc size) All Italians living in Italy > 10(100)=1,000 Condition 3: Big population rule n-PZIO Βρation n(l-p)Z 10 100(1-0-20) ZIO 100 (0.20) ZIO 20 Z10 ♡ 80 Z 10 V Step #3 Find the SE and Z-Score : SE= 0.20(1-0.20) = 0.04 100 Z= ê-R. SE Z=040-0.20 0.04 =5 Test statistics: Z=5
Create your problem:
Draw a picture of the situation with the z score then use z table to determine the
probability.
NORMAL FLOAT AUTO REAL RADIAN MP
100
- 99.99
0.01%
1-Prop2Test
2=5
p=0
Write your p-value in a sentence: There is a 0.01% chance that Ho is truc.
Compare the p-value to the significant level: X = 0.05
Step #4 Inter pret:
We rcject Ho. There is statistically significant evicence to reject Holp=0)
WE conclude the portion of Italians living in Italy who have. Amcrican cars is greater
than 20 %.
95% Confident Interval:
We are 95% confident that the portion of Italians
pt(Z)(SE)
living in Italy witha car who is an Amcrican car
0.40 ± (1.96) (0.04)
is between 32.16% and 47. 84 %.
0.40±0.0784
0.40 + 0.0784 = 0.4784
0.40 – 0. 0784 = 0.3216
Transcribed Image Text:Create your problem: Draw a picture of the situation with the z score then use z table to determine the probability. NORMAL FLOAT AUTO REAL RADIAN MP 100 - 99.99 0.01% 1-Prop2Test 2=5 p=0 Write your p-value in a sentence: There is a 0.01% chance that Ho is truc. Compare the p-value to the significant level: X = 0.05 Step #4 Inter pret: We rcject Ho. There is statistically significant evicence to reject Holp=0) WE conclude the portion of Italians living in Italy who have. Amcrican cars is greater than 20 %. 95% Confident Interval: We are 95% confident that the portion of Italians pt(Z)(SE) living in Italy witha car who is an Amcrican car 0.40 ± (1.96) (0.04) is between 32.16% and 47. 84 %. 0.40±0.0784 0.40 + 0.0784 = 0.4784 0.40 – 0. 0784 = 0.3216
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