The 2015 National Vital Statistics Report provides information on how the nearly four million live births that occurred in 2014 broke down by birth order. Choose at random a baby born in the United States in 2014. Baby's birth order Probability 1 3 4 2 0.391 0.319 0.168 0.072 5 6 7 0.028 0.012 0.005 The few babies who were 9th or more in birth order are included in the "8" birth order group. In 2014, 39.1% of the nearly 4 million live births in the United States were to first-time mothers. 8 0.005 If we took a random sample of 500 birth certificates from 2014, what is the probability that the sample would contain less than 35% of first births? (Enter your answer rounded to four decimal places.)

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The 2015 National Vital Statistics Report provides information on how the nearly four million live births that occurred in 2014 broke down by birth order. Choose at random a baby born in the United States in 2014.

| Baby's birth order | 1    | 2    | 3    | 4    | 5     | 6    | 7    | 8    |
|--------------------|------|------|------|------|-------|------|------|------|
| Probability        | 0.391| 0.319| 0.168| 0.072| 0.028 | 0.012| 0.005| 0.005|

The few babies who were 9th or more in birth order are included in the "8" birth order group.

In 2014, 39.1% of the nearly 4 million live births in the United States were to first-time mothers.

If we took a random sample of 500 birth certificates from 2014, what is the probability that the sample would contain less than 35% of first births? (Enter your answer rounded to four decimal places.)

\[ P(\hat{p} < 0.35) = \]
Transcribed Image Text:The 2015 National Vital Statistics Report provides information on how the nearly four million live births that occurred in 2014 broke down by birth order. Choose at random a baby born in the United States in 2014. | Baby's birth order | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |--------------------|------|------|------|------|-------|------|------|------| | Probability | 0.391| 0.319| 0.168| 0.072| 0.028 | 0.012| 0.005| 0.005| The few babies who were 9th or more in birth order are included in the "8" birth order group. In 2014, 39.1% of the nearly 4 million live births in the United States were to first-time mothers. If we took a random sample of 500 birth certificates from 2014, what is the probability that the sample would contain less than 35% of first births? (Enter your answer rounded to four decimal places.) \[ P(\hat{p} < 0.35) = \]
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