In 1955 , a magazine reported that women worked, on average, 80 hours per week. Recently, research has been investigating whether or not the women's movement has, in fact, been accompanied by an increase in the average work week for women (combining employment outside the home and work in the home). The population standard deviation is known to be 12 hours. Suppose a college student conducts a study to determine if the mean work week has increased, randomly sampling 80 women. The sample mean was 83 hours per week with a sample standard deviation of 10. Does a hypothesis test indicate that the mean work week has increased for women at alpha =.05? Write a full sentence interpreting the results of the hypothesis test, including the alpha level and p value. C. After the study in problem B, more than 100 additional studies of women's work hours were conducted. Contrary to the study conducted by the college student in prçblem B, all of them find that the mean hours worked by women does not significantly differ from 80 hours. Thus, it appears that the study by the college student incorrectly rejected the null hypothesis, which was in fact true. What type of error occurred in the college student's study?