You want to open a daycare center, so you take a random sample of 500 households in your town with children under preschool age, and find that 243 of them were using a family member to care for those children. You want to determine if, at a statistically significant level, = 0.05, fewer than half of households in your town are using a family member to care for the kids.

(a) Set up the hypothesis statements.

(b) Check that the conditions for normality are met.

(c) State the type of test: upper-tailed, lower-tailed, or two-tailed.

(d) Calculate the test statistic using the appropriate formula.

(e) Calculate the p-value.

(f) Compare the p-value to the significance level and draw a conclusion.