Question

A student wants to conduct a test to determine if there is a positive slope between...

A student wants to conduct a test to determine if there is a positive slope between hours of study and grades on exams. What would be the hypotheses of the test?

Ho: βo = 0 vs. Ha: βo > 0

Ho: β1 = 0 vs. Ha: β1 < 0

Ho: βo = 0 vs. Ha: βo < 0

Ho: β1 = 0 vs. Ha: β1 > 0

Homework Answers

Answer #1

A student wants to conduct a test to determine if there is a positive slope between hours of study and grades on exams.

Now, a regression equation is usually denoted by

Now, the slope is

Now, our original claim is that the slope is zero.

So, the null hypothesis is

We have to test this, in order to accept or reject it, in favour of the fact that the slope is greater than zero.

So, our alternate hypothesis is

So, the correct answer is option (D)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A student at a university wants to determine if the proportion of students that use iPhones...
A student at a university wants to determine if the proportion of students that use iPhones is different from 0.45. If the student conducts a hypothesis test, what will the null and alternative hypotheses be? 1) HO: p ≤ 0.45 HA: p > 0.45 2) HO: p > 0.45 HA: p ≤ 0.45 3) HO: p = 0.45 HA: p ≠ 0.45 4) HO: p ≠ 0.45 HA: p = 0.45 5) HO: p ≥ 0.45 HA: p < 0.45...
A student at a university wants to determine if the proportion of students that use iPhones...
A student at a university wants to determine if the proportion of students that use iPhones is less than 0.33. The hypotheses for this scenario are as follows. Null Hypothesis: p ≥ 0.33, Alternative Hypothesis: p < 0.33. If the student takes a random sample of students and calculates a p-value of 0.0466 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance. 1) The proportion of students that use iPhones is greater than...
A student at a university wants to determine if the proportion of students that use iPhones...
A student at a university wants to determine if the proportion of students that use iPhones is less than 0.45. The hypotheses for this scenario are as follows. Null Hypothesis: p ? 0.45, Alternative Hypothesis: p < 0.45. If the student randomly samples 29 other students and finds that 10 of them use iPhones, what is the test statistic and p-value? 1) Test Statistic: -1.138, P-Value: 0.127 2) Test Statistic: -1.138, P-Value: 0.873 3) Test Statistic: 1.138, P-Value: 0.127 4)...
A student is studying the relationship between the number of hours students work and their final...
A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output shown below. What is the t-test statistic that should be used to test H0: β1 = 0 versus H1:  β1 ≠ 0? A student is studying the relationship between the number of hours students work and their final exam scores in statistics courses. A regression analysis resulted in the computer output shown...
5. You want to conduct an experiment to test the effectiveness of a new fertilizer for...
5. You want to conduct an experiment to test the effectiveness of a new fertilizer for enhancing plant growth. a. Explain how you would use positive and negative controls to test your new fertilizer. b. List testable null and alternative hypotheses (one HO and its corresponding HA) you could use in a test for whether your fertilizer was effective at enhancing plant growth. [2 points]
Determine the critical values that would be used in testing each of the following null hypotheses...
Determine the critical values that would be used in testing each of the following null hypotheses using the classical approach. (Give your answers correct to three decimal places.) (a) Ho: ρ = 0 vs. Ha: ρ ≠ 0, with n = 18 and α = 0.05 (smaller value) (larger value) (b) Ho: ρ = 0 vs. Ha: ρ > 0, with n = 32 and α = 0.01 (c) Ho: ρ = 0 vs. Ha: ρ < 0, with n...
Determine the critical values that would be used in testing each of the following null hypotheses...
Determine the critical values that would be used in testing each of the following null hypotheses using the classical approach. (Give your answers correct to three decimal places.) (a) Ho: ρ = 0 vs. Ha: ρ ≠ 0, with n = 18 and α = 0.05 (smaller value) (larger value) (b) Ho: ρ = 0 vs. Ha: ρ > 0, with n = 32 and α = 0.01 (c) Ho: ρ = 0 vs. Ha: ρ < 0, with n...
Determine the critical values that would be used in testing each of the following null hypotheses...
Determine the critical values that would be used in testing each of the following null hypotheses using the classical approach. (Give your answers correct to three decimal places.) (a) Ho: ρ = 0 vs. Ha: ρ ≠ 0, with n = 18 and α = 0.05 (smaller value)_____ (larger value)_____ (b) Ho: ρ = 0 vs. Ha: ρ > 0, with n = 32 and α = 0.01 (c) Ho: ρ = 0 vs. Ha: ρ < 0, with n...
Determine the critical values that would be used in testing each of the following null hypotheses...
Determine the critical values that would be used in testing each of the following null hypotheses using the classical approach. (Give your answers correct to three decimal places.) (a) Ho: ρ = 0 vs. Ha: ρ ≠ 0, with n = 18 and α = 0.05 ____ (smaller value) ____ (larger value) (b) Ho: ρ = 0 vs. Ha: ρ > 0, with n = 32 and α = 0.01 (c) Ho: ρ = 0 vs. Ha: ρ < 0,...
For a sample of 116 college students, the relationship between the reported hours of sleep during...
For a sample of 116 college students, the relationship between the reported hours of sleep during the previous 24 hours and the reported hours of study during the same period was studied. Data for y = hours of sleep the previous day and x = hours of studying the previous day for n = 116 college students were computed. Some regression results for those data are shown in the following table. Regression output Predictor Coef SE Coef T P Constant...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT