Question: The correlation between two variables is -0.63 for a sample of 20 observations. We wish to show there is an inverse relationship between the two

The correlation between two variables is -0.63 for a sample of 20 observations. We wish to show there is an inverse relationship between the two variables. Use the .05 significance level. Which of the following is a correct statement of the null hypothesis and the alternate hypothesis?

Multiple Choice

H₀: rho <= 0 H_1: rho > 0
H₀: rho = 0 H₁: rho > 0
H₀: rho >= 0 H₁: rho < 0
An inverse relationship would be a negative relationship. As X increases, Y decreases. As such the correct hypothesis should have the H₁ with a less than (negative) symbol.

Step by Step Solution

★★★★★

3.33 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Pape No Solution STEP 1 Chiven that the coriiada... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

There is an inverse relationship between bond prices and yields. This inverse relationship will be demonstrated by calculating bond prices to show that interest rates move inversely: if yields rise,...

A random sample of 20 observations has been drawn from a normal population, and the sample variance is found to be s2 = 4.53. Determine the 95% confidence interval for 2.

The following table lists overall quality scores and prices for a gallon of exterior paints. Do these data suggest that you can get better quality by spending more? Use the rank correlation...

In the same competition described in Exercise 9, a third judge ranked the bands with the results shown below. Test for a correlation between the first and third judges. Do the judges appear to rank...

The accompanying table lists educational requirements (in years) and typical salary (in thousands of dollars) for a sample of professions. Based on the result, can you expect to earn more if you...

Refer to Data Set 7 in Appendix B, which looks at temperature and precipitation departures from seasonal norms. Pick out the data pairs corresponding to years of strong El Ninos. Compare (a) the...

It's a baseball cliche that "pitching wins games." Test that claim based on the accompanying data. For eight randomly selected American League teams for the 2000 season, the following data compares...

The "pizza connection" is the principle that the price of a slice of pizza in New York City is always about the same as the subway fare. Use the data listed below to determine whether there is a...

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of 6 minutes. Test, the hypothesis that...

Caspian Sea Drinks is considering buying the J-Mix 2000. It will allow them to make and sell more product. The machine cost $1.56 million and create incremental cash flows of $516,875.00 each year...

A RAND study of criminal investigations characterized detectives as glorified clerks for the district attorney rather than super - sleuths that solve crime?

BNY Mellon used its additional profits to increase entry - level pay levels rather than offering incentive pay such as merit increases or bonuses. What advantages of incentive pay was the bank...

The combination of an objective/goal plus evaluation criterion (measures/metrics) creates the basis for a control. Identify 3 examples of controls that you would recommend for a re-negotiated...

In the past year, a mid - sized company has decided to strengthen its global operations. As an initiative to achieve this goal, there has been an increase in hiring in offices across countries....

The design of a single-stage axial-flow turbine is to be based on constant axial velocity with axial discharge from the rotor blades directly to the atmosphere. The following design values have been...

Project A Project B Project C Project D Project E Today (20,000) (30,000) (8,000) (3,000) (6,000) Year 1 10,000 2,000 1,000 2,000 750 Year 2 5,000 4,000 2,000 2,000 1,500 Year 3 2,500 6,000 3,000...

Using thermodynamic data from Appendix 4, calculate G at 258C for the process: 2SO 2 (g) + O 2 (g) 88n 2SO 3 (g) where all gases are at 1.00 atm pressure. Also calculate DG8 at 258C for this same...

It has been estimated that 92.9% of U.S. households own a telephone and that 68.5% have cable television. a. Why cant this information be summarized in one pie chart? b. Construct two separate pie...

Given the information in Exercise 11.75, and using the 0.05 level of significance in comparing the sample standard deviations, were we justified in assuming that the population standard deviations...

One of the indicators that multicollinearity is present is when a variable that is known to be an important predictor ends up having a partial regression coefficient that is not significant. What are...

24. Although the tongue has receptors for bitter tastes, researchers have not found neurons in the brain itself that respond more strongly to bitter than to other tastes. Explain, then, how it is...

26. How do genes and hormones infl uence taste sensitivity?

28. What is the mean life span of an olfactory receptor?