Read the problem below then answer the questions that follow:
An association of City Mayors conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random sample of 25 families were asked and found a mean of 5 times in a week and a standard deviation of 2. Use 1% significance level to test that the population mean is greater than 4 hours. Assume that the population is normally distributed.
State your conclusion
a. Since the null hypothesis is rejected, we could now conclude that there is sufficient evidence to suggest the alternative hypothesis at the given level of significance.
b. Since the null hypothesis is not rejected, we could now conclude that there is no sufficient evidence to suggest the alternative hypothesis at the given level of significance.
c. Since the null hypothesis is not rejected, we could now conclude that there is sufficient evidence to suggest the alternative hypothesis at the given level of significance.
d. Since the null hypothesis is rejected, we could now conclude that there is no sufficient evidence to suggest the alternative hypothesis at the given level of significance.