In 2011, it was estimated that 71 % of school-aged children in Mississipi were living in poverty. Researchers believe this proportion has increased over the last decade and decide to take a random sample of 945 school-aged children in Mississippi. They find that 731 of the children in their sample are living in poverty. (a) What is the null and alternative hypothesis for this significance test? H 0 : p = 0.7735 H A : p = 0.71 H 0 : p = 0.71 H A : p = 0.7735 H A : p > 0.71 H 0 : p = 0.40 (b) Identify the estimated population proportion, p = and sample statistic p = rounded to four decimal places. You may wish to use the Inference for Population Proportion statistical tool. Round answers to 4 decimal places. (c) Find the test statistic. z = (d) Determine the P -value. P = (e) What should the researchers conclude? At the 1 % significance level, researchers should conclude that if the true proportion of children living in poverty were 71 % this sample is extremely unlikely to happen by chance. This gives the researchers evidence to reject the null