Automobiles Purchased An automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 74% today. He selected a random sample of 48 Americans and found that 42 said that they would prefer an American automobile. Can it be concluded that the percentage today is greater than 74%? At a=0.05, is he corect? Use the critical value method with tables. Do not round intermediate steps. Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: p= .74 not claim H₁: P> .74 claim This hypothesis test is a one-tailed Alternate Answer: Ho:p=0.74 not claim H₁ :p>0.74 claim This hypothesis test is a one-tailed test. Part: 1/5 Part 2 of 5 ▼test. (b) Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 0,0.... X S
Automobiles Purchased An automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 74% today. He selected a random sample of 48 Americans and found that 42 said that they would prefer an American automobile. Can it be concluded that the percentage today is greater than 74%? At a=0.05, is he corect? Use the critical value method with tables. Do not round intermediate steps. Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: p= .74 not claim H₁: P> .74 claim This hypothesis test is a one-tailed Alternate Answer: Ho:p=0.74 not claim H₁ :p>0.74 claim This hypothesis test is a one-tailed test. Part: 1/5 Part 2 of 5 ▼test. (b) Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): 0,0.... X S
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
Related questions
Question
C. Find p value
D. Make a decision
![**Automobiles Purchased**
An automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 74% today. He selected a random sample of 48 Americans and found that 42 said that they would prefer an American automobile. Can it be concluded that the percentage today is greater than 74%? At a significance level of α = 0.05, is he correct? Use the critical value method with tables. Do not round intermediate steps.
### Part 1 of 5
(a) **State the hypotheses and identify the claim.**
Null Hypothesis \( H_0: p = 0.74 \) not claim
Alternative Hypothesis \( H_1: p > 0.74 \) claim
This hypothesis test is a one-tailed test.
**Alternate Answer:**
\( H_0: p = 0.74 \) not claim
\( H_1: p > 0.74 \) claim
This hypothesis test is a one-tailed test.
**Graph Explanation**
This section involves setting up hypotheses for a single population proportion test, with a primary focus on understanding whether the current preference exceeds the historical figure of 74%. The graph associated with these hypotheses would likely depict the critical region relevant to the one-tailed test at the 0.05 significance level.
### Part 2 of 5
(b) **Find the critical value(s).** Round the answer to two decimal places. If there is more than one critical value, separate them with commas.
**Critical value(s):** [Input Box]
The critical value(s) will determine the threshold at which we reject the null hypothesis, based on standard statistical tables for a Z-distribution at the given significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4e5146-969d-4643-8e1a-977cd9815aba%2Fd48ebe2e-ff96-4652-967b-4b492ffe598d%2Fi07b5r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Automobiles Purchased**
An automobile owner found that 20 years ago, 74% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much greater than 74% today. He selected a random sample of 48 Americans and found that 42 said that they would prefer an American automobile. Can it be concluded that the percentage today is greater than 74%? At a significance level of α = 0.05, is he correct? Use the critical value method with tables. Do not round intermediate steps.
### Part 1 of 5
(a) **State the hypotheses and identify the claim.**
Null Hypothesis \( H_0: p = 0.74 \) not claim
Alternative Hypothesis \( H_1: p > 0.74 \) claim
This hypothesis test is a one-tailed test.
**Alternate Answer:**
\( H_0: p = 0.74 \) not claim
\( H_1: p > 0.74 \) claim
This hypothesis test is a one-tailed test.
**Graph Explanation**
This section involves setting up hypotheses for a single population proportion test, with a primary focus on understanding whether the current preference exceeds the historical figure of 74%. The graph associated with these hypotheses would likely depict the critical region relevant to the one-tailed test at the 0.05 significance level.
### Part 2 of 5
(b) **Find the critical value(s).** Round the answer to two decimal places. If there is more than one critical value, separate them with commas.
**Critical value(s):** [Input Box]
The critical value(s) will determine the threshold at which we reject the null hypothesis, based on standard statistical tables for a Z-distribution at the given significance level.
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