For many years, working full-time has meant working 40 hours per week. Nowadays it seems that corporate employers expect their employees to work more than this amount. A researcher decides to investigate this hypothesis. The null hypothesis states that the average time full-time corporate employees work per week is 40 hours. The alternative hypothesis states that the average time full-time corporate employees work per week is more than 40 hours. To substantiate his claim, the researcher randomly selected 40 corporate employees and finds that they work an average of 43 hours per week with a standard deviation of 9.6 hours.
Suppose the p-value is 0.0677, α =0.10 rather than 0.05. What should the researcher conclude?
a) Reject the null hypothesis. The average time full-time corporate employees work per week is greater than 40 hours.
b) Reject the null hypothesis. The average time full-time corporate employees work per week is 40 hours.
c) Fail to reject the null hypothesis. The average time full-time corporate employees work per week is 40 hours.
d) Fail to reject the null hypothesis. There is insufficient evidence to conclude that the average time full-time corporate employees work per week is greater than 40 hours.