### Statistical Hypothesis Testing: Low-Birth-Weight Babies and Maternal Age**Context:**An obstetrician conducted a study to determine if mothers aged 35 to 39 years give birth to a higher percentage of low-birth-weight babies compared to the general percentage reported by a census company (7.1%). She randomly selected 240 births from mothers aged 35 to 39 and found 26 low-birth-weight babies. The following steps use statistical hypothesis testing to address this question.**Question:**Does the percentage of low-birth-weight babies born to mothers aged 35 to 39 years differ significantly from 7.1%?**Step-by-Step Solution:****Part (a): Hypothesis Testing Using Chi-Square Goodness-of-Fit Test**1. **State the Null and Alternative Hypotheses:** - \( H_0 \): \( p = 0.071 \) (The proportion of low-birth-weight babies is 7.1%.) - \( H_1 \): \( p \neq 0.071 \) (The proportion of low-birth-weight babies is different from 7.1%.)2. **Compute the P-Value:** - **P-value = \[ \_\_\_ \] (Round to three decimal places as needed.)**3. **Conclusion Decision:** - **Option A:** Do not reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the \( \alpha = 0.05 \) level of significance. - **Option B:** Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the \( \alpha = 0.05 \) level of significance. - **Option C:** Do not reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the \( \alpha = 0.05 \) level of significance. - **Option D:** Reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight

We have given that Sample size N=420 and Favorable cases X=26 And alpha=0.05 Sample proportion…

According to a census company, 7.1% of all babies born are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. She randomly selected 240 births for which the mother was 35 to 39 years old and found 26 low-birth-weight babies. Complete parts (a) through (c) below. Ho: V0.071 H,: V0.071 Use technology to compute the P-value for this test. Use the Tech Help button for further assistance. P-value = (Round to three decimal places as needed.) State a conclusion for this test in the context of the obstetrician's question. Choose the correct answer below. O A. Do not reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance. O B. Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level significance. OC. Do not reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance. O D. Reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance. (c) Answer the obstetrician's question at the a = 0.05 level of significance using a z-test for a population proportion. State the null and alternative hypotheses for this test. Họ: 0.071 H4: 0.071 Use technology to compute the P-value for this test. Use the Tech Help button for further assistance. P-value = (Round to three decimal places as needed.) State a conclusion for this test in the context of the obstetrician's question. Choose the correct answer below. O A. Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance. O B. Reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance. OC. Do not reject the null hypothesis. There is not sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance. O D. Do not reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance.