18.In 2000 a national vital statistics report indicated that about 2.7% of all births produced twins. Is the rate of twin births the same among very youngmothers? Data from a large city hospital found only 9 sets of twins were born to 409 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed.

a.Are the assumptions and the conditions to perform aone-proportion z-testmet?

b.State the null and alternative hypotheses. Choose the correct answer below.

c.The assumptions and conditions are notmet, so the test cannot proceed.

Determine thez-test statistic. Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

Z=

d.Find theP-value. Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

P-Vaule=

e.What is yourconclusion?