1. The La Leche Society has released an educational video on the benefits of breast feeding. Prior to the release of the videos, it was known that 75% of new moms breast-feed exclusively for the first six weeks of their child's life. The CEO wants to know if the videos are increasing this proportion. A random sample of 400 new moms was obtained and 320 breast-fed their new babies exclusively for the first six weeks. At the 5% significance level, what conclusion can be reached?

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**The La Leche Society's Breastfeeding Educational Initiative**

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**Introduction**

The La Leche Society has recently produced and disseminated an educational video highlighting the benefits of breastfeeding. This initiative aims to increase the prevalence of exclusive breastfeeding among new mothers during the critical early weeks of a baby's life. Historically, data indicated that 75% of new mothers practiced exclusive breastfeeding for the first six weeks postpartum.

**Objective**

The primary goal is to assess whether the educational videos have led to an increase in the proportion of new mothers who engage in exclusive breastfeeding for the first six weeks of their child's life.

**Study Design and Data Collection**

To evaluate the impact of the educational videos, the following study parameters were established:
- A random sample of 400 new mothers was selected for observation.
- Among these mothers, data was collected to determine how many exclusively breastfed their babies for the initial six weeks.

**Results**

From the sample of 400 new mothers:
- 320 mothers were found to have exclusively breastfed their babies for the first six weeks.

**Statistical Significance**

To determine if the increase in the proportion is statistically significant, a hypothesis test was performed at a 5% significance level.

*Hypothesis Test:*
- Null Hypothesis (H0): The proportion of new mothers exclusively breastfeeding for the first six weeks is 75% (p = 0.75).
- Alternative Hypothesis (H1): The proportion of new mothers exclusively breastfeeding for the first six weeks is greater than 75% (p > 0.75).

**Conclusion**

From the analysis conducted, the following conclusion can be drawn: [Insert the conclusion from the statistical test, such as whether the p-value was less than 0.05 leading to a rejection of the null hypothesis, indicating that the educational videos may have had a significant positive impact on breastfeeding rates.]

For a detailed explanation of the statistical analysis and further interpretative insights, please refer to our comprehensive report [insert link to report if available].

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*Note: This transcription is provided for educational purposes to guide through the interpretation of the given statistical problem and its context within a public health initiative.*
Transcribed Image Text:**The La Leche Society's Breastfeeding Educational Initiative** --- **Introduction** The La Leche Society has recently produced and disseminated an educational video highlighting the benefits of breastfeeding. This initiative aims to increase the prevalence of exclusive breastfeeding among new mothers during the critical early weeks of a baby's life. Historically, data indicated that 75% of new mothers practiced exclusive breastfeeding for the first six weeks postpartum. **Objective** The primary goal is to assess whether the educational videos have led to an increase in the proportion of new mothers who engage in exclusive breastfeeding for the first six weeks of their child's life. **Study Design and Data Collection** To evaluate the impact of the educational videos, the following study parameters were established: - A random sample of 400 new mothers was selected for observation. - Among these mothers, data was collected to determine how many exclusively breastfed their babies for the initial six weeks. **Results** From the sample of 400 new mothers: - 320 mothers were found to have exclusively breastfed their babies for the first six weeks. **Statistical Significance** To determine if the increase in the proportion is statistically significant, a hypothesis test was performed at a 5% significance level. *Hypothesis Test:* - Null Hypothesis (H0): The proportion of new mothers exclusively breastfeeding for the first six weeks is 75% (p = 0.75). - Alternative Hypothesis (H1): The proportion of new mothers exclusively breastfeeding for the first six weeks is greater than 75% (p > 0.75). **Conclusion** From the analysis conducted, the following conclusion can be drawn: [Insert the conclusion from the statistical test, such as whether the p-value was less than 0.05 leading to a rejection of the null hypothesis, indicating that the educational videos may have had a significant positive impact on breastfeeding rates.] For a detailed explanation of the statistical analysis and further interpretative insights, please refer to our comprehensive report [insert link to report if available]. --- *Note: This transcription is provided for educational purposes to guide through the interpretation of the given statistical problem and its context within a public health initiative.*
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