A report on consumer financial literacy summarized data from a representative sample of 1,667 adult Americans. When asked if they typically carry credit card debt from month to month, 589 of these people responded \"yes.\" (a) Use the given information to estimate the proportion of adult Americans who carry credit card debt from month to month. (Round your answer to three decimal places.) (b) Verify that the conditions needed in order for the margin of error formula to be appropriate are met. READ AND COMPLETE THE FOLLOWING STATEMENT. The condition that the sample is a random sample from the population of interest or the sample is selected in a way that should result in a representative sample (c) Calculate the margin of error. (Round your answer to three decimal places.) (d) Interpret the marain of error in the context of this problem. blag met not met [Select_~]. The condition that the sample size is large is |Select |. Itis unlikely that the estimated proportion of adult Americans who carry credit card debt from month to month differs from the true population proportion by more than the value calculated in part (c). Itis likely that the estimated proportion of adult Americans who carry credit card debt from month to month differs from the true population proportion by the value calculated in part (c). It is impossible that the estimated proportion of adult Americans who carry credit card debt from month to month differs from the true population proportion by more than the value calculated in part (c). It is impossible that the estimated proportion of adult Americans who carry credit card debt from month to month differs from the true population proportion by less than the value calculated in part (c). It is unlikely that the estimated proportion of adult Americans who carry credit card debt from month to month differs from the true population proportion by less than the value calculated in part (c). from month to month, 589 of these people responded "yes." al places.) e sample is Select . The condition that the sample size is large is Select Select met not met