Step 1 :The question is asking us to determine if the golf balls conform to the standard diameter of 1.68 inches. We are given a test statistic and a P-value. The test statistic is a measure of how much the sample data deviate from what is expected under the null hypothesis, which in this case is that the golf balls conform to the standard. The P-value is the probability of obtaining the observed data (or data more extreme) if the null hypothesis is true.
Step 2 :We are asked to make a decision based on a significance level of 0.01. If the P-value is less than the significance level, we reject the null hypothesis. If the P-value is greater than the significance level, we do not reject the null hypothesis.
Step 3 :In this case, the P-value is 0.461, which is greater than the significance level of 0.01. Therefore, we do not reject the null hypothesis. This means that there is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the 0.01 level of significance.
Step 4 :Final Answer: \(\boxed{\text{B. Do not reject } H_{0}. \text{There is not sufficient evidence to conclude that the golf balls do not conform to the association's standards at the } \alpha=0.01 \text{ level of significance.}}\)