Based on a poll of 500 citizens, a property development group claims that 54% of the population is in favor of the construction of a new hotel near the airport. an environmental group claims that the poll is not valid and that only 38% of the citizens favor the construction of the hotel. to determine whether this sample supports the population proportion of 0.54, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.38. the minimum sample proportion from the simulation is 0.32, and the maximum sample proportion from the simulation is 0.50. the margin of error of the population proportion is found using an estimate of the standard deviation. what is the interval estimate of the true population proportion?

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10