Question

In: Statistics and Probability

What does it mean for a hypothesis test to be statistically significant? How is this different...

What does it mean for a hypothesis test to be statistically significant? How is this different from our everyday notions of “significant”? Make sure that you respond to your classmates as well.

Solutions

Expert Solution

Stastically Significant:

To declare statistical significance, we need to determine whether the size of the difference is meaningful. We determine significant by accounting variation and target value with respect to some error ( we known as level of significane).

Statistical significance is a determination about the null hypothesis, which hypothesizes that the results are due to chance alone. A data set provides statistical significance when the p-value is sufficiently small.

1)Statistical significance is the likelihood that a relationship between two or more variables is caused by something other than chance.

2)Statistical significance is used to provide evidence concerning the plausibility of the null hypothesis, which hypothesizes that there is nothing more than random chance at work in the data.

3)Statistical hypothesis testing is used to determine whether the result of a data set is statistically significant.

How stastical significant is different from our everday significant:

Statistical significance does not mean practical significance.

The word “significance” in everyday usage connotes consequence and noteworthiness.


Related Solutions

What does it mean to say that a test result is statistically significant? What is a...
What does it mean to say that a test result is statistically significant? What is a p-value, and how does it relate to statistical significance?
What does the term statistically significant mean?
What does the term statistically significant mean?
1.) When the results of a hypothesis test are statistically significant what is the formal conclusion...
1.) When the results of a hypothesis test are statistically significant what is the formal conclusion to the hypothesis test? a.) Accept the null hypothesis b.) Fail to reject the null hypothesis c.) Reject the alternative hypothesis d.) Reject the null hypothesis and accept the alternative hypothesis 2.) When the results of a hypothesis test are not statistically significant what is the formal conclusion to the hypothesis test? a.) Accept the null hypothesis b.) Fail to reject the null hypothesis...
What is a standard error? What does it mean for an estimate to be "statistically significant"?
What is a standard error? What does it mean for an estimate to be "statistically significant"?
What is a standard error? What does it mean for an estimate to be "statistically significant"?
What is a standard error? What does it mean for an estimate to be "statistically significant"?
What is a standard error? What does it mean for an estimate to be "statistically significant"?
What is a standard error? What does it mean for an estimate to be "statistically significant"?
The result of a hypothesis test is said to be "statistically significant" under all the following...
The result of a hypothesis test is said to be "statistically significant" under all the following circumstances EXCEPT: Group of answer choices There is convincing evidence supporting the alternative hypothesis. The P-value is less than alpha. The difference observed between the sample result and the parameter value stated in the null hypothesis is important in the real world. The difference observed between the sample result and the value stated in the null hypothesis is highly unlikely to be due to...
If a hypothesis test turns out to be statistically significant at the significance level of 0.01...
If a hypothesis test turns out to be statistically significant at the significance level of 0.01 (meaning reject the null hypothesis at 0.01 significance level), it will also be significant at:  Circle your answer(s)​    Significant level of 0.05   Significant level of 0.001 Significant level of 0.005 Significant level of 0.1 Which p-value would provide more evidence against the null hypothesis:             p-value of 0.02 and p-value of 0.04. Explain your answer.​    ATM machines must be stocked enough cash to satisfy customers...
What does it mean to say that a particular result is statistically significant at the .05...
What does it mean to say that a particular result is statistically significant at the .05 level or at the .01 level? Is a result that is statistically significant at the .05 level automatically also significant at the .01 level? What about the reverse? Please explain your reasoning.
What does statistical significance mean? How do you know if something is statistically significant? What is...
What does statistical significance mean? How do you know if something is statistically significant? What is the difference between statistical significance and practical significance?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT