Question

In: Statistics and Probability

I would like to test a hypothesis that the percentage of people who consider themselves as...

I would like to test a hypothesis that the percentage of people who consider themselves as conservatives today is lower than it was 20 years ago. Conveniently enough, my old professor has data from 20 years ago when he conducted a similar survey. The number of people 20 years ago who identified as conservative in his survey was 314 out of 612 total. I conduct a survey today and find that out of the 415 people i surveyed, 198 considered themselves to be conservative. If i wish to present my findings with a level of significance of .05, what conclusion would i draw?

options:

based on the data, there's evidence of a decrease in those who identify as conservative.

based on the data, there's no evidence of a decrease in those who identify as conservative.

based on the data, there's evidence of an increase in those who identify as conservative.

based on the data, there's no evidence of an increase in those who identify as conservative.

Solutions

Expert Solution

Conclusion - There's no evidence of an increase in those who identify as conservative. PL??


Related Solutions

A researcher would like to test whether or not people who have stocked up on a...
A researcher would like to test whether or not people who have stocked up on a year’s supply of toilet paper are experiencing less stress during a statewide stay-at-home order. A statewide poll indicates that the average stress level for the general state population is 60.5 (with a standard deviation of 11.6) and is normally distributed. Using a random sample of 36 toilet paper hoarders that have a mean stress level of 54.7 (and a standard deviation of 10.3), test...
An insurance company would like to test the hypothesis that a difference exists in the proportion...
An insurance company would like to test the hypothesis that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text. A random sample of 160 12th grade students found that 84 texted while driving. A random sample of 17511th grade students found that 70 texted while driving. Assume Population 1 is defined as 12th grade drivers and Population 2 is defined as 11th grade...
An insurance company would like to test the hypothesis that a difference exists in the proportion...
An insurance company would like to test the hypothesis that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th-grade drivers who text. A random sample of 160 12th grade students found that 84 texted while driving. A random sample of 175 11th grade students found that 84 texted while driving. A random sample of 175 12th grade drivers and Population 2 is defined as 11th-grade drivers. What...
The Dean of the Business School at State University would like to test the hypothesis that...
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are attached below below. Assume Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam...
The Dean of the Business School at State University would like to test the hypothesis that...
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below. Assume Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores....
The Canadian government would like to test the hypothesis that the standard deviation for the hourly...
The Canadian government would like to test the hypothesis that the standard deviation for the hourly wage for men is equal to the standard deviation for the hourly wage for women. The sample size for men is 11 with sample standard deviation 2.25 and the sample size for women is 9 with standard deviation 3.75. Assume that hourly wages are normally distributed. a) What are the parameters of interest? b) Define the null and alternative hypothesis. c) What is the...
A car dealership would like to test the hypothesis that a difference exists in the city...
A car dealership would like to test the hypothesis that a difference exists in the city gas mileage (miles per gallon when driven in the city) of three cars, Honda Insight, Hyundai Ioniq and Toyota Camry. The following data represent the miles per gallon for a random sample of Honda Insight, Hyundai Ioniq and Toyota Camry cars. Honda Insight Hyundai Ioniq Toyota Camry 40 35 35 36 37 34 37 38 31 38 34 36 38 34 33 36 36...
The federal government would like to test the hypothesis that the standard deviation for the age...
The federal government would like to test the hypothesis that the standard deviation for the age of men filing for Social Security is higher than the standard deviation for the age of women. The following table summarizes sample statistics from each population. Women Men Sample standard deviation 2.4 years 3.4 years Sample size 24 20 The test statistic for this hypothesis test would be ________. 2.01 4.87 5.60 7.74 A chocolate chip cookie producer claims that its cookies average 3...
The Department of Education would like to test the hypothesis that the average debt load of...
The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The α is set to 0.05. (a) Perform a hypothesis test showing all steps. Find 95% confidence interval for the population average debt. Confirm that the conclusion...
12. Suppose that the Department of education would like to test the hypothesis that the average...
12. Suppose that the Department of education would like to test the hypothesis that the average debt load of graduating students with a Bachelor’s degree is equal to $17,000. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set ? = 0.01. a. State the null and alternative hypotheses. b. Calculate the test statistic. c....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT