Question

In: Statistics and Probability

A researcher believes that the proportion of male high school seniors who have their own cars...

A researcher believes that the proportion of male high school seniors who have their own cars is higher than the proportion of female high school seniors who have their own cars. In a sample of 35 male high school seniors 20 had their own cars. In a sample of 40 female high school seniors, 20 had their own cars. At α = 0.05, test the researchers claim using the five step testing method.

Solutions

Expert Solution

From the given data

(1) Null and Alternative Hypothesis:

H0: the proportion of male high school seniors who have their own cars is not higher than the proportion of female high school seniors who have their own cars

H1: the proportion of male high school seniors who have their own cars is higher than the proportion of female high school seniors who have their own cars

Thus we conclude that  the proportion of male high school seniors who have their own cars is not higher than the proportion of female high school seniors who have their own cars


Related Solutions

A high school believes that their seniors have gotten exceptionally high SAT scores this year, and...
A high school believes that their seniors have gotten exceptionally high SAT scores this year, and they want to compare the SAT scores of their 400 seniors to the SAT scores of all the high school seniors in the country.   What is the best statistical test to use to analyze the hypothesis in scenario 1? Group of answer choices One-way ANOVA Two Sample Z-Test Factor Analysis Correlation Coefficient Independent sample t-Test Dependent sample t-Test Z-Score Structural Equation Model One Sample...
Question 6 A high school math teacher believes that male and female students who graduated from...
Question 6 A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students: Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31 Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21 Give a 95% confidence interval for the...
Question 6 (1 point) A high school math teacher believes that male and female students who...
Question 6 (1 point) A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students: Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31 Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21 Give a 95% confidence interval...
Question 5 (1 point) A high school math teacher believes that male and female students who...
Question 5 (1 point) A high school math teacher believes that male and female students who graduated from the school perform equally well on SAT math test. She randomly chooses 10 male students and 10 female students who graduated from this school. The following are the SAT math scores of the 20 students: Male: 23, 30, 27, 29, 22, 34, 36, 28, 28, 31 Female: 22, 33, 30, 28, 28, 31, 34, 25, 29, 21 Test the teacher's claim. What...
Is there a positive relationship between grit and GPA in high school seniors? A researcher examined...
Is there a positive relationship between grit and GPA in high school seniors? A researcher examined this issue by having students beginning their senior year of high school complete a grit inventory using a Likert-based scale (range 1 – 7), where higher numbers indicate more “grit”. GPA was self-reported (scale 0 – 4.0). Enter the data shown here into SPSS to assess whether there is a positive relationship between grit and GPA.   Grit GPA 6.5 4.0 4.0 3.1 3.7 2.7...
A researcher wishes to estimate the proportion of adults who have high speed internet access. What...
A researcher wishes to estimate the proportion of adults who have high speed internet access. What size sample should be obtained if she wishes the estimate to be within .03 with 99% confidence if a) she uses a previous estimate of .58? b) she does not use any prior estimate?
1. a. A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access....
1. a. A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.3 with 99% confidence? b. it is believed that people prefer rubies over other gems. In a recent simple random survey of 150 people, 63 said they would prefer a ruby over other gems. Use this sample data to complete a hypothesis test to determine if a majority of people...
A sociologist wishes to estimate the proportion of parents of college-bound high school students who have...
A sociologist wishes to estimate the proportion of parents of college-bound high school students who have not saved any money for college. What sample size would she need for the estimate to be correct within 6 percentage points with 95% confidence (a) if she uses a similar study from 2015 that indicates that 32% of parents had saved no money for college? (b) if she does not use any prior estimates?
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size...
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 95 % confidence if (a) she uses a previous estimate of 0.34 ? (b) she does not use any prior estimates?
A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size...
A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.01 with 90& confidence if ​(a) she uses a previous estimate of 0.42 ​(b) she does not use any prior​ estimates?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT