Question

. For Yvonne's survey, 96 students in the sample said they rarely or never argue with friends. A significance test yields a P-value of 0.0291. What conclusion would you make if a = 0.05? If a =0.01? Justify your answers.

Answer 1

If a = 0.05, we can conclude that the proportion of students who rarely or never argue with friends is significantly different from the general population. If a = 0.01, we can still conclude the same.

Step-by-step explanation:

In this problem, a significance test is being conducted to determine if the proportion of students who rarely or never argue with friends is significantly different from the general population.

The given p-value is 0.0291.

If a = 0.05, which is a common level of significance, we compare the p-value to a.

Since the p-value is smaller than a (0.0291 < 0.05), we can conclude that the proportion of students who rarely or never argue with friends is significantly different from the general population.

If a = 0.01, a more stringent level of significance, we compare the p-value to a.

In this case, the p-value is still smaller than a (0.0291 < 0.01), so we can still conclude that the proportion of students who rarely or never argue with friends is significantly different from the general population.