A national vital statistics report indicated that 3% of all births produced twins. Researchers are curious about the proportion of twin births among teenage mothers. A large hospital reported a sample of 469 births from teenage mothers found 7 sets of twins. Is the proportion of twin births among teenage mothers different from the overall figure?
Added by Sandra M.
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First, we need to identify the null and alternative hypotheses. The null hypothesis (H0) is that the proportion of twin births among teenage mothers is the same as the overall figure, which is 3%. The alternative hypothesis (H1) is that the proportion of twin Show more…
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In 2001 a national vital statistics report indicated that about 3% of all births produced twins. Is the rate of twin births the same among very young mothers? Data from a large city hospital found that only 7 sets of twins were born to 469 teenage girls. Test an appropriate hypothesis and state your conclusion. Assume that the births as this hospital can be considered a random sample of all teenage births. (a) Test an appropriate hypothesis and state your conclusion. (b) Construct and interpret a 90% confidence interval to estimate the proportion of twin births to teenage mothers based on these data. (c) Explain how you can use the confidence interval to conduct the test at a 0.10 level of significance.
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