Question

Final Project

Elementary Statistics

Directions: Please follow each step below. Upload your completed assignment as a Word document in Canvas.

Step 1: Choose one research question from the list below:

1. Does viewing a movie versus reading a book about the movie allow students to score higher on assessments related to the literature?

2. Does drinking caffeine affect students' performance on tests?

3. What is more important to college-bound high school seniors when choosing a major: interest in the subject, career aspirations, family influence, or ability in the subject?

4. Is a team’s payroll related to winning percentages in professional sports?

5. Can we predict the order of the NFL draft based on the players’ college recruitment rank and statistics?

6. Is there a correlation between female empowerment and career advancement in the United States?

Step 2: Create hypotheses statements for the research question you chose.

Step 3: In at least 10 or more sentences, describe how a researcher may collect and analyze the data for the research question you chose.

Answer 1

Project Title : Does drinking caffeine affect students' performance on tests?

Let me make the question first, then we will dive into the hypothesis.

Question: 1 year back, a team of researchers conducted an experiment among the college going students. In that experiment they assessed whether drinking coffee has any performance on the tests they give. They found out that 53% of the students who had a habit of drinking coffee scored higher in their tests. But in recent times, a new group of researchers are not believing this result percentage. So they conducted again taking a sample of 300 students and they found that the percentage stands at 49 % Now use critical value approach to test the hypothesis at the 1 % significance level.

Answer: Here the hypothesis is H0 : p = 0.53 , H1: p < 0.53

here p is the proportion of college students.

Now the researcher conducted a survey taking a sample size of 300. so here n = 300

under the null hypothesis the Z statistics is given by:

Z = ( p1 - p ) / [{p * (1-p)} / n ] where p1 is 0.46

The calculated Z value is -2.4292

But at 1% significance level, the Z crictical is - 2.33. Hence we reject the Null hypothesis