Free Printable Hypothesis Testing on Correlation Coefficient

Worksheets

Hypothesis Testing on Correlation Coefficient

Total questions: 15

Worksheet time: 1hrs 25mins

Name

Class

Date

Which of the following statement correctly illustrates the nature of a bivariate dat? Expound your answer in your answer sheet.

Data that involve no variable.

Data that involve one variable.

Data that involve two variables.

Data that involve three or more variables.

Which of the following situations involve bivariate type of data? Write the variables of your answer in your answer sheet.

Juan recorded the final grades of her 50 classmates in Statistics & Probability.

Kaye recorded the number of hours 25 Grade 11 students spend answering.

Zoe estimated that the average number of students with internet connection in a class of 50 students is 17.

Patrick surveys the amount spent for wifi load and the number of hours spent for studying online of 50 students of DORSHS.

Construct a scatter plot for the given data obtained in a study on the number of absences and the final grades of seven randomly selected students from a statistics class.

I did it.

I do not know how to do it.

Which of the following best the describes shape (form) based on the scatter plot of the given data. Explain your answer in your answer sheet.

linear correlation

spatial correlation

ordinary correlation

curvilinear correlation

Which of the following best the describes trend (direction), and variation (strength) based on the scatter plot of the given data. Explain your answer in your answer sheet.

weak negative correlation

strong negative correlation

weak positive correlation

strong positive correlation

Calculates the Pearson’s sample correlation coefficient of the given data. Show your solution in your answer sheet.

-0.944

-0.499

0.499

0.944

Which of the following best describes trend (direction), and variation (strength) based on Correlation Coefficient of the given data. Explain your answer in your answer sheet.

weak negative correlation

moderate negative correlation

strong negative correlation

perfect negative correlation

Based on the description of Correlation Coefficient of the given data. What is the appropriate interpretation? Complete the statement in your answer sheet.

It slightly suggests that the more ___ a student has, the lower is his or her ___.

It slightly suggests that the more ___ a student has, the higher is his or her ___.

It strongly suggests that the more ___ a student has, the lower is his or her ___.

It strongly suggests that the more ___ a student has, the higher is his or her ___.

To test the claim that there is significant correlation between the number of absences and the final grades of seven randomly selected students from a statistics class, what is the appropriate hypothesis? Write the statement form of your answer.

$H_o:\ \rho=0;\ Ha:\ p<0$

$H_o:\ \rho=0;\ Ha:\ p=0$

$H_o:\ \rho=0;\ Ha:\ p\ne0$

$H_o:\ \rho=0;\ Ha:\ p>0$

10.

To test the claim that there is significant correlation between the number of absences and the final grades of seven randomly selected students from a statistics class, determine the appropriate critical value at 0.05 significance level? Illustrate in your answer sheet.

$-2.571$

$\pm2.571$

$2.571$

$none\ of\ the\ choices$

11.

To test the claim that there is significant correlation between the number of absences and the final grades of seven randomly selected students from a statistics class, compute the appropriate test statistic? Show your solution in your answer sheet.

$-6.398$

$\pm6.398$

$6.398$

$none\ of\ the\ choices$

12.

To test the claim that there is significant correlation between the number of absences and the final grades of seven randomly selected students from a statistics class, what is the appropriate decision? Complete the statement in your answer sheet.

Reject the null hypothesis.

Do not reject the null hypothesis

13.

To test the claim that there is significant correlation between the number of absences and the final grades of seven randomly selected students from a statistics class, what is the appropriate conclusion? Complete the statement in your answer sheet.

There is sufficient evidence to reject the claim that...

There is sufficient evidence to support the claim that...

There is insufficient evidence to reject the claim that...

There is insufficient evidence to support the claim that...

14.

In a study on correlation of the number of absences and the final grades of seven randomly selected students from a statistics class, what is the dependent variable? Explain your answer in your answer sheet.

number of students

number of absences

final grades of students

final number of students

15.

In a study on correlation of the number of absences and the final grades of seven randomly selected students from a statistics class, what is the independent variable? Explain your answer in your answer sheet.