Question

In: Statistics and Probability

Is the choice of college major independent of grade average? A random sample of 445 students...

Is the choice of college major independent of grade average? A random sample of 445 students were surveyed by the Registrar’s Office regarding major field of study and grade point average. In this study, only students with passing grades were included in the survey. Grade point averages were rounded to the nearest letter grade. Use = 0.05 to test the claim that choice of major field is independent of grade average.

Grade Average

Grade Average

Grade Average

Major

A

B

C

Row Total

Science

38

49

63

150

Business

41

42

59

142

Humanities

32

53

68

153

Column Total

111

144

190

445

  1. State the null and alternate hypothesis

  2. Identify the appropriate sampling distribution: Chi-square test of independence, Chi-square goodness of fit, or Chi-square for testing or estimating σ2 or σ. What is the value of the sample test statistic?

  3. Find or estimate the P-value.

  4. Based on your answers for parts (a) through (c), will you reject or fail to reject the null hypothesis?

Solutions

Expert Solution


Related Solutions

It is known that​ 35% of students change their major in college. In a random sample...
It is known that​ 35% of students change their major in college. In a random sample of 500​ students, what is the probability that less than​ 36% of these students will change their ​major? A. 0.6808 B. 0.3192 C. 0.0176 D. 0.2000
If you draw a random sample of 1000 College Students and you find that the average...
If you draw a random sample of 1000 College Students and you find that the average GPA of the students is 3.5 with a standard deviation of 0.5, what is the distribution of the average GPA? Someone argues that the average GPA of all college students is 2.5. Does your sample support that? What is your 95% CI for the population average?
What proportion of college students plan to major in Business? You survey a random sample of...
What proportion of college students plan to major in Business? You survey a random sample of 250 first-year college students, and you find that 57 of these students indicate they plan to pursue a major in Business. Use this information to construct a 90% confidence in order to estimate the population proportion of college students who plan to major in Business.
The average GPA of a random sample of 18 college students who take evening classes was...
The average GPA of a random sample of 18 college students who take evening classes was calculated to be 2.94 with a standard deviation of 0.04. The average GPA of a random sample of 12 college students who take daytime classes was calculated to be 2.89 with a standard deviation of 0.05. Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .01 significance level. Claim: Select an answer...
11. A random sample of 50 college student students shows that the score of a College...
11. A random sample of 50 college student students shows that the score of a College Statistics is normally distributed with its mean, 83 and standard deviation, 7.5. Find 95 % confidence interval estimate for the true mean.
1. A random sample of 40 college student students shows that the score of a College...
1. A random sample of 40 college student students shows that the score of a College Statistics is normally distributed with its mean, 81 and standard deviation, 8.4. Find 99 % confidence interval estimate for the true mean.
You took independent random samples of 20 students at City College and 25 students at SF...
You took independent random samples of 20 students at City College and 25 students at SF State. You asked each student how many sodas they drank over the course of a year. The sample mean at City College was 80 and the sample standard deviation was 10. At State the sample mean was 90 and the sample standard deviation was 15. Use a subscript of c for City College and a subscript of s for State. Calculate a point estimate...
1. The grade point average (GPA) of a large population of college students follows a normal...
1. The grade point average (GPA) of a large population of college students follows a normal distribution with mean 2.6, and standard deviation of 0.5. Students with GPA higher than 3.5 are considered “exceptional”, 3.0 to 3.5 are considered to be “good”, 2.0 to 3.0 are considered “average”, and below 2.0 are considered to be “poor”. (a) For a randomly selected student, what is the probability that he has a “good” GPA? 
 (b) Suppose 10 students are randomly selected. Let...
In a sample of 1000 Yuba College students, it was found that they consumed on average...
In a sample of 1000 Yuba College students, it was found that they consumed on average 23 grams of sugar with a standard deviation of 4 grams and that 230 planned to transfer to Chico State. a) (7 points) Can we conclude with 99% confidence that Yuba College students consume on average over 20 grams of sugar? Use the rejection region approach.    b) Can we conclude with 99% confidence that under 25% of Yuba College students plan to transfer...
14. For a sample of students, their total SAT scores and college grade point averages (GPA)...
14. For a sample of students, their total SAT scores and college grade point averages (GPA) are given below. SAT GPA 1070 3.50 1040 2.66 1120 3.54 1260 3.83 1100 2.60 1020 2.70 960 2.00 a. Make a scatterplot on your calculator. Does there appear to be a linear relationship between SAT scores and GPA? b. Find the least squares regression line. Round all constants to 4 decimal places. c. Use your equation to predict the college GPA of a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT