Which of the following approaches cannot be used to perform a two-tailed hypothesis test about μ?

a. compare the level of significance to the confidence coefficient.
b. compare the value of the test statistic to the critical value.
c. compare the confidence interval estimate of μ to the hypothesized value of μ.
d. compare the p-value to the value of α.

Option a)  Compare the level of significance to the confidence coefficient.

Step-by-step explanation:

We are given the following information in the question:

We are performing a two-tailed test hypothesis. We can follow the following approaches:

Option a)  Compare the level of significance to the confidence coefficient.

This cannot be used to perform hypothesis.

Option b) Compare the value of the test statistic to the critical value.

If the test statistic lies in the acceptance region evaluated by the critical value, we accept the null hypothesis. If not, we reject the null hypothesis.

Option c) Compare the confidence interval estimate of μ to the hypothesized value of μ.

If the estimated population lies in the calculated confidence interval, we accept the null hypothesis otherwise, we reject the null hypothesis.

Option d) Compare the p-value to the value of α.

If the p-value is greater than the significance level, we accept the null hypothesis. If it is lower than the significance level, we reject the null hypothesis.