According to the University of Nevada Center for Logistics Management, 12% of all merchandise sold in the United States gets returned. A Houston department store sampled 90 items sold in January and found that 13 of the items were returned. a. Construct a point estimate of the proportion of items returned for the population of sales transactions at the Houston store. | 0.1444 i Q (to 4 decimals) b. Construct a 90% condence interval for the proportion of returns at the Houston store. ('_ 0.2053 ' 0 l 0.0335 0) (to4decimals) c. Is the proportion of returns at the Houston store signicantly different from the returns for the nation as a whole? Provide statistical support for your answer. Ha:_@o.12 H.=_@o.12 z-value l o 1 l 9 (to 2 decimals) p-value ' 0.4778 9 (to 4 decimals) Do not reject v 9 the null. Yes, we @ enough evidence to prove that Houston is different from the national average