A recent report indicated that families in a certain country typically spend about $175 per week on groceries. To investigate whether families in a certain city typically spend more than $175 per week, an economist selected a random sample of 500 families in the city and found the sample mean to be $176.24. With all conditions for inference met, a hypothesis test resulted in a pp-value of 0.0021.
At the significance level of α=0.05α=0.05, which of the following is a correct conclusion?
A. The pp-value is less than 0.05, and the null hypothesis is rejected. There is convincing statistical evidence that the mean is greater than $175.
The pp-value is less than 0.05, and the null hypothesis is not rejected. There is convincing statistical evidence that the mean is greater than $175.
B. The pp-value is less than 0.05, and the null hypothesis is not rejected. There is not convincing statistical evidence that the mean is greater than $175.
C. The pp-value is greater than 0.05, and the null hypothesis is rejected. There is convincing statistical evidence that the mean is greater than $175.
D. The pp-value is greater than 0.05, and the null hypothesis is not rejected. There is not convincing statistical evidence that the mean is greater than $175.