18. A manufacturer of carpet wanted to reduce the number of flaws per square yard of carpet. Data gathered from quality control measures indicated that Brand A typically had 2.5 flaws per square yard. A mechanical engineer for the company developed a modification of the current process that she thought might reduce the number of flaws. To determine if this was true, one of the machines in the plant was modified according to her specifications. A sample of 30 square yards of carpet was analyzed for flaws. The sample yielded a mean of 2.4 flaws per square yard. Assume the standard deviation of the measurements is 0.66.

The correct decision using a significance level of 0.05 is

1. reject the hypothesis.
2. reject the alternative hypothesis.
3. fail to reject the alternative hypothesis.
4. fail to reject the null hypothesis. (correct)

we would reject Ho if p-value is less than the significance level of .05. Does that mean the answer is correct because p-value was more than .05? Why is this answer correct?