State the null hypothesis. O Hou = 26.6 O H: M = 26.6 OH: 1 = 26.6 OH: H = 26.6 9 Part (b) State the alternative hypothesis. OH_: 4 0.100 Explain what the p-value means for this problem. O If He is true, then there is a chance equal to the p-value that the average age of online students is 29.4 years or older. O If He is false, then there is a chance equal to the p-value that the average age of online students is 29.4 years or older. O If He is true, then there is a chance equal to the p-value that the average age of online students is not 29.4 years or older. O If He is false, then there is a chance equal to the p-value that the average age of online students is not 29.4 years or older.Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. 1/2(p-value) 1/2(p-value) 1/2(p-value) 1/2(p-value) X X p-value p-value X X Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (0) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = (ii) Decision: O reject the null hypothesis O do not reject the null hypothesis (ii) Reason for decision: Since a p-value, we reject the null hypothesis O Since a > p-value, we do not reject the null hypothesis. O Since a