In studying the relationship between age and time spent exercising, suppose you computed r=−0.307 using n=20 data points. Using the critical values table below, determine if the value of r is significant or not.dfCV (+ and -)dfCV (+ and -)dfCV (+ and -)dfCV (+ and -)10.997110.555210.413400.30420.950120.532220.404500.27330.878130.514230.396600.25040.811140.497240.388700.23250.754150.482250.381800.21760.707160.468260.374900.20570.666170.456270.3671000.19580.632180.444280.361  90.602190.433290.355  100.576200.423300.349  Select the correct answer below: 1) r is significant because it is between the positive and negative critical values. 2) r is not significant because it is between the positive and negative critical values. 3) r is significant because it is not between the positive and negative critical values. 4) r is not significant because it is not between the positive and negative critical values.

Question
Asked Oct 8, 2019
10 views
In studying the relationship between age and time spent exercising, suppose you computed r=−0.307 using n=20 data points. Using the critical values table below, determine if the value of r is significant or not.
df CV (+ and -) df CV (+ and -) df CV (+ and -) df CV (+ and -)
1 0.997 11 0.555 21 0.413 40 0.304
2 0.950 12 0.532 22 0.404 50 0.273
3 0.878 13 0.514 23 0.396 60 0.250
4 0.811 14 0.497 24 0.388 70 0.232
5 0.754 15 0.482 25 0.381 80 0.217
6 0.707 16 0.468 26 0.374 90 0.205
7 0.666 17 0.456 27 0.367 100 0.195
8 0.632 18 0.444 28 0.361    
9 0.602 19 0.433 29 0.355    
10 0.576 20 0.423 30 0.349    

Select the correct answer below:

 
1) r is significant because it is between the positive and negative critical values.
 
2) r is not significant because it is between the positive and negative critical values.
 
3) r is significant because it is not between the positive and negative critical values.
 
4) r is not significant because it is not between the positive and negative critical values.
check_circle

Expert Answer

Step 1

The degrees of freedom is n–2=20–2=18.

Step 2

Rejection rule:

If r is not lies between positive negative critical values, then the correlation is significant.

If r lies between positive negative critical values, then the correlation is not significant.

From the given critical value table, the critical value for degrees of freedom 18 is ±0.444.

Step 3

Conclusion:

Here, the value of r is –0.307, which lies between ±0.444.

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A doctor gives a patient a test for a particular cancer. Before the results of the test, the only ev...

A: The probability that the doctor assign to the event that cancer is present given that the test turn ...

question_answer

Q: A purveyor of designer maternity wear sells dresses and pants priced around $250 each for an average...

A: Given DataMean = 1000Standard deviation = 400Sales is following normal distributionFinding the proba...

question_answer

Q: A random sample of 5240 permanent dwellings on an entire showed that 1571 were traditional hogans. A...

A: Let x be a number of traditional hogans.It is given that n =5,240 and x is 1,571.

question_answer

Q: Assume that 74% of randomly selected adults have a credit card. Assume that a group of five adults i...

A: If the group of five adults includes exactly 1 with a cardProbability of exactly one card is given b...

question_answer

Q: Statistics Question

A: (a)The conditions for the t-distribution is appropriate as given below:If the sample size is larger ...

question_answer

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed wit...

A: (a)The distribution of X is,Here, X denote the distance in feet for a fly ball.The distribution of X...

question_answer

Q: For a particular population, a sample of n = 4 scores has an expected value of 10. For the same popu...

A: Assuming the population follows normal distributionIf the population follows normal distribution, th...

question_answer

Q: In studying the relationship between age and time spent exercising, suppose you computed r=−0.307 us...

A: Introduction:The null and alternative hypotheses for the given test of the correlation coefficient a...

question_answer

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support...

A: The formula for the sample size is as follows: