Question

In: Statistics and Probability

Researchers suspect that myopia, or nearsightedness, is becoming more common over time. A study from the...

Researchers suspect that myopia, or nearsightedness, is becoming more common over time. A study from the year 2010 showed 123 cases of myopia in 400 randomly selected people. Another study from the year 2019 showed 228 cases in 600 randomly selected people. We are going to do a hypothesis test to see if p1 = the proportion of people who have myopia in 2019  is equal to p2 = proportion of people who have myopia in 2010 at the 0.05 significance level.

Set up the null and alternative hypothesis

Calculate the test statistic.

What is the critical value?

Should we reject or fail to reject the test under 0.05 level?

What is the correct conclusion based on the test?

Solutions

Expert Solution

There is sufficient evidence to support the claim that myopia, or nearsightedness, is becoming more common over time.


Related Solutions

More and more children and teens are becoming addicted to over the counter and prescription drugs...
More and more children and teens are becoming addicted to over the counter and prescription drugs found at home. Suggest a way to solve this growing problem. use a citation
Ethical dilemmas are becoming more common in the changing health care environment. More questions are being...
Ethical dilemmas are becoming more common in the changing health care environment. More questions are being raised and fewer answers are available. New guidelines need to be developed to assist in finding viable solutions to the questions. Scenario: Over the past several weeks, you have noticed that your closest friend, Jimmy, has been erratic and has been making poor patient-care decisions. On two separate occasions, you quietly intervened and "fixed" his errors. You have also noticed that he volunteers to...
It seems to becoming more common for students to live in off campus housing than to...
It seems to becoming more common for students to live in off campus housing than to pay to live on campus. A study at a large state university revealed that in a random sample of 50 seniors last year, 56% lived in off campus housing whereas this year, a random sample of 50 seniors showed that 64% lived in off campus housing. (a) Is this convincing evidence that the true proportion of all seniors that are living in off campus...
As noted in the lecture one for the week, virtual physicians are becoming more common. Due...
As noted in the lecture one for the week, virtual physicians are becoming more common. Due to not being face to face, many critics have argued that the Physician cannot correctly diagnose as they do not have patient vitals (heart rate, O2 rates, blood pressure, temp, etc.). In your initial post, discuss whether or not you agree with the critics in their assessment and why.
The use of technology in therapy is becoming more common. Not only are psychotherapists conducting therapy...
The use of technology in therapy is becoming more common. Not only are psychotherapists conducting therapy sessions online via programs similar to Skype and Connect, but some are also starting to use text messaging and billing for such client contacts. Do you think this type of therapy can be effective? Does it violate any of the APA Ethics code? Do you think this format for therapy will continue to be used?
Researchers conducted a study to evaluate the effect of instruction on the time required to solve...
Researchers conducted a study to evaluate the effect of instruction on the time required to solve a mechanical puzzle. In one condition, students were given the mechanical puzzle and told to solve it as fast as they could and were warned that the puzzle was extremely difficult and they should expect to have difficulty. In a second condition, students were just told to solve the puzzle as fast as they could. The researcher measured the time it took for each...
UNIVERSITIES AROUND THE COUNTRY HAVE BEEN BECOMING MORE COMPETITIVE OVER THE YEARS. OBVIOUSLY, TUITION IS A...
UNIVERSITIES AROUND THE COUNTRY HAVE BEEN BECOMING MORE COMPETITIVE OVER THE YEARS. OBVIOUSLY, TUITION IS A KEY DETERMINANT OF DEMAND FOR UNIVERSITY ATTENDANCE, BUT THERE ARE OTHER METHODS OF INCREASING THE ENROLLMENT RATES. IN FACT, UNIVERSITIES HAVE BEEN USING DIFFERENT STRATEGIES TO INCREASE ENROLLMENT SUCH AS ONLINE COURSES, FLEXIBLE ATTENDANCE, REDUCED COURSE LOAD, INTERDISCIPLINARY MAJORS ETC. IF YOU WERE HIRED BY THE FEDERAL GOVERNMENT (LET'S ASSUME THAT THE GOVERNMENT IS NOT SHUTDOWN ANYMORE) TO ESTIMATE THE PRICE ELASTICITY OF DEMAND...
Becoming more interested in what students do with their free time, a researcher collects several different...
Becoming more interested in what students do with their free time, a researcher collects several different samples of students and also notes the gender of the student. The results are below. Test to see whether or not activity is independent of gender at an alpha level of .01. Movie Party Dancing Dinner Tv Reading Other Males 65 82 81 24 30 41 27 Females 12 55 30 12 30 48 33
Is psychology common sense? Why study psychology? *** Provide information from one or more scholarly sources...
Is psychology common sense? Why study psychology? *** Provide information from one or more scholarly sources with an in-text citation and match referencing to support your discussion. Wikipedia is not a scholarly source. Discussion without a source will receive zero (0) point. *** Responses to Discussion Question should be 200 words or more and substantive-this does not include assignment or references. A good practice to produce a response in Word Document to monitor word count, copy and paste into message...
To see if police are more likely to pull over certain color cars, researchers gathered 28...
To see if police are more likely to pull over certain color cars, researchers gathered 28 Volkswagen Jettas and had them painted one of four colors: red, grey, black, and white. Participants drove the cars around for a month and recorded the number of traffic stops that occurred for each color. The results are below. ∑X2 = 2030 Red Cars: M = 12, T = 84, SS = 70, n = 7 Grey Cars: M = 4, T = 28,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT