1. A sample of chocolate from the local candy shop contained 17 milk chocolate pieces out of a sample of 50 . An entire batch of chocolate contains 350 pieces. Which option below is a valid claim about the population? The number of milk chocolate pieces is between 115 and 120 pieces. An estimated 200 to 300 pieces are milk chocolate. At least 200 pieces are milk chocolate. No more than 110 pieces are milk chocolate.

To determine a valid claim about the population of chocolate pieces based on the sample data, let's analyze the information provided: - **Sample Data**: 17 milk chocolate pieces out of 50. - **Population Size**: 350 pieces. ### Step 1: Calculate the Sample Proportion The sample proportion of milk chocolates is: \[ \text{Proportion} = \frac{17}{50} = 0.34 \text{ or } 34\% \] ### Step 2: Estimate the Population Number Using the sample proportion to estimate the number of milk chocolates in the entire population: \[ \text{Estimated Number} = 0.34 \times 350 = 119 \text{ pieces} \] This estimate falls within the range of **115 to 120** pieces. ### Evaluating the Options 1. **"The number of milk chocolate pieces is between 115 and 120 pieces."** - **Valid**: This directly aligns with our estimate of 119 pieces. 2. **"An estimated 200 to 300 pieces are milk chocolate."** - **Invalid**: This range (57% to 86%) is significantly higher than the sample proportion (34%). 3. **"At least 200 pieces are milk chocolate."** - **Invalid**: As this implies over 57%, which is not supported by the sample. 4. **"No more than 110 pieces are milk chocolate."** - **Invalid**: This suggests a maximum of 31%, which contradicts our sample proportion of 34%. ### Conclusion The most accurate and valid claim based on the sample data is: **"The number of milk chocolate pieces is between 115 and 120 pieces."** **Answer:** The number of milk chocolate pieces is between 115 and 120 pieces.