The correlation between GPA and number of Facebook friends is
-0.386. sample size n=30. Use the correlation , at the 2%
significance level, test for a linear association between GPA and
number of Facebook friends. Include all details of the test.
State the null and alternative hypotheses.
Group of answer choices
H0:ρ<0Ha:ρ=0
H0:ρ=0Ha:ρ<0
H0:ρ=0Ha:ρ>0
Answer:
Here null and alternative hypotheses are given as follows
Null hypothesis
H0 : ρ = 0
Alternative hypothesis
Ha : ρ > 0
The correlation between GPA and number of Facebook friends is -0.386. sample size n=30. Use the...
Test for a positive correlation using the sample correlation r=0.33 and the sample size n=30. State the null and alternative hypotheses. Find the test statistic. Round your answer to two decimal places. t= Find the p-value. Round your answer to three decimal places. The p-value is . What is the conclusion, using a 5% significance level? ...
For a sample of 40 large U.S. cities, the correlation between the mean number of square feet per office worker and the mean monthly rental rate in the central business district is −0.363. State the decision rule for .05 significance level: H0: ρ ≥ 0; H1: ρ < 0 (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Compute the value of the test statistic. (Negative value should be indicated by a minus...
An Environmental Protection Agency study of 12 automobiles revealed a correlation of 0.47 between engine size and emissions. State the decision rule for .01 significance level: H0: ρ ≤ 0; H1: ρ > 0 (Round your answer to 3 decimal places.) Reject H0 if t > Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic
Use the sample correlation r=0.42 and the sample size n=25 to see if there is evidence that the population correlation between the two variables is different than zero. (a) What are the null and alternative hypotheses? (b) What is the test statistic? Round your answer to three decimal places (c) What are the degrees of freedom? Enter the exact answer. (d) What is the p-value. Round your answer to three decimal places. (e) What is the conclusion, using a 5%...
The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luggage, which in turn will result in higher fuel costs. For a sample of 22 flights, the correlation between the number of passengers and total fuel cost was 0.640. 1. State the decision rule for 0.050 significance level: H0: ρ ≤ 0;...
The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luggage, which in turn will result in higher fuel costs. For a sample of 25 flights, the correlation between the number of passengers and total fuel cost was 0.672. (1) State the decision rule for 0.05 significance level: H0: ρ ≤ 0;...
A study of 18 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.79. Can we conclude that there is a positive correlation between assets and pretax profit? 1-b. State the decision rule for 0.10 significance level: H0: ρ ≤ 0; H1: ρ > 0. (Round your answer to 3 decimal places.) Reject H0 if t > 2. Compute the value of the test statistic. (Round your answer to 2 decimal places.) 3. Can we...
The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luggage, which in turn will result in higher fuel costs. For a sample of 20 flights, the correlation between the number of passengers and total fuel cost was 0.688. (1) State the decision rule for 0.02 significance level: H0: ρ ≤ 0;...
A study of college soccer games revealed the correlation between the number of shots attempted and the number of goals scored to be 0.87 for a sample of 11 games. a. State the decision rule for 0.01 significance level: H0: ρ ≤ 0; H1: ρ > 0 (Round the final answer to 3 decimal places.) Reject H0 if t > b. Compute the value of the test statistic. (Round the final answer to 3 decimal places.) ...
A study was done to look at the relationship between the number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 0 2 6 6 1 5 2 0 5 GPA 3.4 3.6 2.9 2.2 3.7 3.1 3.6 3.2 2.8 x value y value Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0: ? ρ r μ == 0 H1:H1:...