Question

Five years ago 3.9% of children in a certain region lived with someone other than a parent. A sociologist wishes to test whether the current proportion is different. Perform the relevant test at the 5% level of significance, using the following data: in a random sample of 2759 children, 119 lived with someone other than a parent.

State the hypotheses for the test by filling in the blanks. Do not give commas or units as part of your answers.

H₀ : p = _____________(blank #1) vs. H_a : p ____________(blank #2) 0.039

Under the null assumption, the TS = 1.12 and the tail area to the right
of TS is equal to 0.1312. Find the p-value of the test using this information and then make an appropriate decision/conclusion.

Blank #3: p-value = ______________(report your answer to four decimals)

Blank #4: decision on Ho (reject or do not reject)

Blank #5: conclusion on Ha (favors or does not favor)

Answer 1