Statistics · Guided Practice
Correlation Tests
6 questions with answers. Try each one before revealing the answer.
1
A researcher tests whether there is a relationship between hours of practice and success rate.
State the null and alternative hypotheses.
State the null and alternative hypotheses.
Video solution coming soon
Answer
: there is no correlation between hours of practice and success rate.
: there is a correlation between hours of practice and success rate.
: there is a correlation between hours of practice and success rate.
Video solution coming soon
2
A correlation test gives a p-value of and a confidence interval of .
State the conclusion at the level.
State the conclusion at the level.
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Answer
, so there is insufficient evidence to reject the null hypothesis.
There is no significant correlation between the two variables. The confidence interval containing zero agrees with this.
There is no significant correlation between the two variables. The confidence interval containing zero agrees with this.
Video solution coming soon
3
A correlation test gives a p-value of and a sample correlation of .
State the conclusion at the level, in context, for a study of practice hours against success rate.
State the conclusion at the level, in context, for a study of practice hours against success rate.
Video solution coming soon
Answer
, so reject the null hypothesis.
There is a significant positive correlation between hours of practice and success rate.
There is a significant positive correlation between hours of practice and success rate.
Video solution coming soon
4
State the R Studio command used to carry out a correlation test on two columns of data named
Practice and Success.Video solution coming soon
Answer
cor.test(Practice, Success)Video solution coming soon
5
A correlation test on shoe size against typing speed gives a p-value of .
A student concludes that shoe size has no effect on typing speed.
Explain what is wrong with this wording.
A student concludes that shoe size has no effect on typing speed.
Explain what is wrong with this wording.
Video solution coming soon
Answer
The test looks for a correlation, not for an effect, and it cannot show that one thing causes another.
The correct conclusion is that there is insufficient evidence of a correlation between shoe size and typing speed.
The correct conclusion is that there is insufficient evidence of a correlation between shoe size and typing speed.
Video solution coming soon
6
A study of practice hours against success rate used practice times from to hours.
Explain why the model should not be used to predict the success rate of someone practising hours a week.
Explain why the model should not be used to predict the success rate of someone practising hours a week.
Video solution coming soon
Answer
hours is far outside the range of the data, so the prediction would be an extrapolation.
There is no evidence that the relationship continues at that level of practice.
There is no evidence that the relationship continues at that level of practice.
Video solution coming soon