Homework: Homework 9 Save Score: 1 of 5 pts 4 of 7 (7 complete) HW Score: 27.05%
ID: 3054441 • Letter: H
Question
Homework: Homework 9 Save Score: 1 of 5 pts 4 of 7 (7 complete) HW Score: 27.05%, 811 of 30 pts &15.1.33-T Question Help In 1997 a national vital statistics report indicated that about 2.2% of all births produced twins. Is the rate of twin births the same among very young mothers? Data from a large city hospital found only 10 sets of twins were born to 585 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed 0 Yes State the null and alternative hypotheses. Choose the correct answer below. OA. Ho: p 0.022 HA: p> 0.022 O B. Ho:p=0.022 HA p 0.022 ?. ??: ?:0.022 HA: pExplanation / Answer
#1.
Below are the null and alternate hypothesis
H0: p = 0.022
Ha: p not equals 0.022
Option B.
pcap = 10/585 = 0.0171
SE = sqrt(0.022*(1-0.022)/585) = 0.0061
Test statistic,
z = (0.0171 - 0.022)/0.0061 = -0.8033
p-value = 0.4218
As p-value is greater than the significance level of 0.05, we failed to reject the null hypothesis.
There are not significant evidence to conclude that proportion is different from 0.022.
#2.
Here 4 is less than 5, hence condition does not meet.
In order to perform this test, np >= 5 and (1-p)n >= 5
Option D.
The assumptions and conditions are not met, so the test cannot proceed.
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