A sociologist claims that the success of students in college (measured by their GPA) is related to their family’s income. For a sample of 20 students, the correlation coefficient is r = 0.40. Using the 1% significance level, can we conclude that there is a positive correlation between the two variables? Explain your conclusion.
H0:
H1:
Test Statistic:
Conclusion:
A sociologist claims that the success of students in college (measured by their GPA) is related...
Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 85 students shows that 40
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
What are we testing in this problem?
single meansingle proportion
(a) What is the level of significance?...
Test the claim that the mean GPA of Orange Coast students is significantly different than the mean GPA of Coastline students at the 0.01 significance level. The null and alternative hypothesis would be: H0:pO≤pC H1:pO>pC H0:μO≥μC H1:μO<μC H0:pO=pC H1:pO≠pC H0:pO≥pC H1:pO<pC H0:μO=μC H1:μO≠μC H0:μO≤μC H1:μO>μC The test is: left-tailed two-tailed right-tailed The sample consisted of 30 Orange Coast students, with a sample mean GPA of 2.96 and a standard deviation of 0.07, and 30 Coastline students, with a sample mean...
A study of college soccer games revealed the correlation between the number of shots attempted and the number of goals scored to be 039 for a sample of 26 games Use Appendix B2 for the t-valuesaState the decision rule for 001 significance level: H0: ? ? 0; H1: ?> 0 (Round the final answer to 3 decimal places)Reject H0 if t> _______bCompute the value of the test statistic(Round the final answer to 3 decimal places)Value of the test statistic _______cWhat is the p-value?(Round the final answer to...
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:...
1. Test the claim that the mean GPA of night students is significantly different than 2.4 at the 0.2 significance level. The null and alternative hypothesis would be: a) H0:μ=2.4 H1:μ>2.4 b) H0:μ=2.4 H1:μ<2.4 c) H0:p=0.6 H1:p<0.6 d) H0:p=0.6 H1:p>0.6 e) H0:p=0.6 H1:p≠0.6 f) H0:μ=2.4 H1:μ≠2.4 2. The test is: a) left-tailed b) right-tailed c) two-tailed 3. Based on a sample of 35 people, the sample mean GPA was 2.44 with a standard deviation of 0.04 The test statistic is:...
Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.05 significance level. The null and alternative hypothesis would be: H0:pO≥pCH0:pO≥pC H1:pO<pCH1:pO<pC H0:pO≤pCH0:pO≤pC H1:pO>pCH1:pO>pC H0:μO≤μCH0:μO≤μC H1:μO>μCH1:μO>μC H0:μO=μCH0:μO=μC H1:μO≠μCH1:μO≠μC H0:μO≥μCH0:μO≥μC H1:μO<μCH1:μO<μC H0:pO=pCH0:pO=pC H1:pO≠pCH1:pO≠pC The test is: right-tailed two-tailed left-tailed The sample consisted of 55 Orange Coast students, with a sample mean GPA of 2.69 and a standard deviation of 0.05, and 55 Coastline students, with a sample mean GPA...
Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.05 significance level. The null and alternative hypothesis would be: H0:pO≥pCH0:pO≥pC H1:pO<pCH1:pO<pC H0:pO≤pCH0:pO≤pC H1:pO>pCH1:pO>pC H0:μO≤μCH0:μO≤μC H1:μO>μCH1:μO>μC H0:μO=μCH0:μO=μC H1:μO≠μCH1:μO≠μC H0:μO≥μCH0:μO≥μC H1:μO<μCH1:μO<μC H0:pO=pCH0:pO=pC H1:pO≠pCH1:pO≠pC The test is: right-tailed two-tailed left-tailed The sample consisted of 55 Orange Coast students, with a sample mean GPA of 2.69 and a standard deviation of 0.05, and 55 Coastline students, with a sample mean GPA...
To test whether extracurricular activity is a good predictor of college success, a college administrator records whether students participated in extracurricular activities during high school and their subsequent college freshman GPA. Extracurricular Activity College Freshman GPA Yes 3.47 Yes 3.34 Yes 3.93 Yes 3.67 No 2.92 No 3.88 No 3.47 No 2.71 No 3.83 No 2.79 (a) Code the dichotomous variable and then compute a point-biserial correlation coefficient. (Round your answer to three decimal places.) (b) Using a two-tailed test...
Test the claim that the mean GPA of night students is smaller than 2.2 at the 0.10 significance level. The null and alternative hypothesis would be: H0:p≥0.55 H1:p<0.55 H0:μ≤2.2 H1:μ>2.2 H0:p≤0.55 H1:p>0.55 H0:p=0.55 H1:p≠0.55 H0:μ=2.2 H1:μ≠2.2 H0:μ≥2.2 H1:μ<2.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.17 with a standard deviation of 0.04 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals)
Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 significance level. The null and alternative hypothesis would be: H0:pN≥pDH0:pN≥pD H1:pN<pDH1:pN<pD H0:pN≤pDH0:pN≤pD H1:pN>pDH1:pN>pD H0:μN≥μDH0:μN≥μD H1:μN<μDH1:μN<μD H0:pN=pDH0:pN=pD H1:pN≠pDH1:pN≠pD H0:μN≤μDH0:μN≤μD H1:μN>μDH1:μN>μD H0:μN=μDH0:μN=μD H1:μN≠μDH1:μN≠μD The test is: left-tailed two-tailed right-tailed The sample consisted of 65 night students, with a sample mean GPA of 3.35 and a standard deviation of 0.04, and 65 day students, with a sample mean GPA of...