According to a study reported by the National Center for Health Statistics, 3.62% of women aged 30-34 who had a child, gave birth to twins in the year 2018. 300 women aged 30 - 34 having a child were selected in a sample. Part A- What is the sampling distribution of p? The mean is and the standard deviation is . Give both these answers to 4 decimal places. Part B- Find the appropriate z-score for this problem. z = Part C- Find the probability more than 6% of the women in the sample had twins.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![**Question 7**
According to a study reported by the National Center for Health Statistics, 3.62% of women aged 30-34 who had a child, gave birth to twins in the year 2018. 300 women aged 30-34 having a child were selected in a sample.
**Part A** - What is the sampling distribution of \( \hat{P} \)? The mean is ________ and the standard deviation is ________. *Give both these answers to 4 decimal places.*
**Part B** - Find the appropriate z-score for this problem. \( z = \) ________
**Part C** - Find the probability more than 6% of the women in the sample had twins. ________](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fb381f-811c-41ea-92d9-ccdf3c6fabee%2Faae1e429-8d6f-4a26-90c6-deab2a5016f5%2Fktix9k_processed.jpeg&w=3840&q=75)
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