Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that 280 recent brides were Interviewed as to where they spent their honeymoons. The Information is given below. Conduct a test of independence at the 5% level. Location 20 - 29 30 -39 40 -49 50 and over Niagara Falls Poconos Europe Virgin Islands State the null hypothesis. @ The honeymoon location is independent of the age of the bride. The honeymoon location is dependent on the age of the bride. E Partial Stain the altamative hypothesis. The honeymoon location is independent of the age of the bride. The honeymoon location is dependant on the age of the bride. What and the degrees of freedom? (Enter an mooact number as an integer, fraction, or decimal.] Stain the distribution to use for the best. 0 2 What is the test stallstic? (Finund your answer to two decimal places.] What is the p-value? (Round your arewar to four decimal places. ) Explain what the p-valun moans for this problem O If He is false, then there is a chance equal to the s-value that the value of the test stallstic will be equal to or less than the calculated value. O IT H, is talia, then there is a chance equal statistic will be equal to or greater than the calculated value. If He is true, than there is a char istic wil be equal to or greater than the calculated valun. O If He is true, than there is a ch The equal to or less than the calculated valun. ericw when My la trum. Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) comesponding to the p-value.Ekwich a picture of this situation. Label and scale the horizontal axis, and shade the region(s) commaponding to the p-value. p-value P-value 1/2xp-valuej. i/zxp-value 1/2p-valuer 1/2jp-valuel Indicate the comact decision ("minof or "do not reject" the null hypothesis], the mason for it, and write the appropriate conclusion. (1) Alpha (Enter an mooact number as an intoger, fraction, or decimal.] Decision: mject the null hypothesis " do not mject the null hypothesis ") Reason for decision: Since in * p-value, we do not mject the null hypothesis. " Since it > p-value, we reject the null hypothesis. " Since it > p-value, we do not mject the null hypothesis. " Since it