Question

A survey was conducted to see whether age has an association with the belief that a master’s degree or higher provides an advantage in one’s career. Of the 524 adults between the ages of 22 and 25surveyed, 56% believed that a master’s degree has value in a person’s career path. Of the 458 adults surveyed between the ages of 40 and 45, 52% also believed that a master’s degree has value in a person’s career path. Assuming age is not associated with this belief, the probability of the data being the result of chance is calculated to be 0.21. Interpret this calculation.

Select the correct answer below:

We can expect 56% of all adults between the ages of 22 and 25 to believe a master’s degree or higher provides an advantage in one’s career.

The data is statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career.

Age does not have any association with the belief that a master’s degree or higher provides an advantage in one’s career.

The data are not statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career.

Answer 1

Answer)

When the obtained p-value is smaller than the given significance level then we reject the null hyppthesis and calls the data to be statistically significant

And when the obtained p-value is greater than given significance then we fail to reject the null hypothesis and conclude that the result is not statistically significant

As here obtained p-value is 0.21

And given significance level is 0.05

So correct answer is :

The data are not statistically significant at the 0.05 level of significance in showing that age has an association with the belief that a master’s degree or higher provides an advantage in one’s career.