Some travel agents claim that honeymoon hot spots vary according to the age of the bride. Suppose that 283 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 14 24 26 20 Poconos 16 24 25 11 Europe 11 24 15 6 Virgin Islands 20 25 16 6 Part (a) Part (b) Part (c) What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) Part (d) Part (e) What is the test statistic? (Round your answer to two decimal places.) Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. If He is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. Part (9) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write the appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) a = (ii) Decision: reject the null hypothesis O do not reject the null hypothesis (iii) Reason for decision: Since or p-value, we reject the null hypothesis. O Since or > p-value, we do not reject the null hypothesis. Since ox