Using traditional methods it takes 98 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 230 students, the researcher decides to reject the null hypothesis at a 0.02 level of significance. What is the conclusion

The researcher's belief was correct that the new technique may reduce training time.

Step-by-step explanation:

It is provided that the time taken by the traditional methods to receive an advanced driving license is 98 hours.

A new training technique using Computer Aided Instruction (CAI) has been proposed.

The researcher wants to test his belief that the new technique may reduce training time.

Let the mean time it takes for the new technique to receive an advanced driving license be, μ.

The hypothesis for the test can be defined as:

H₀: The mean time it takes for the new technique to receive an advanced driving license is 98 hours, i. e. μ = 98.

Hₐ: The mean time it takes for the new technique to receive an advanced driving license is less than 98 hours, i. e. μ < 98.

The significance level of the test is assumed to be, α = 0.02.

The decision rule:

If the p-value of the test is less that the level of significance α then the null hypothesis will be rejected and vice-versa.

It is provided that the researcher decides to reject the null hypothesis at a 0.02 level of significance.

This implies that the mean time it takes for the new technique to receive an advanced driving license is less than 98 hours.

Hence, the researcher's belief was correct that the new technique may reduce training time.