Researchers investigated whether elementary school students from families in need would choose healthier lunch options if offered. A random sample of students receiving free-and-reduced lunch at five different Connecticut elementary schools were offered a choice between 2 lunch options. One was a typical school lunch prepared off and warmed on campus, while the other was a healthier school lunch made on campus from a variety of fruits, vegetables, and lean protein. For each child, researchers kept track of whether or not the child selected the healthier option. The research question was whether of not the healthier option would be selected less than the typical school lunch. More specifically, we will investigate whether the sample data provide strong evidence that the heather lunch is picked less than 50% of the time? The researchers found in their sample of 294 students that 134 picked the healthier option. The value of the sample proportion who selected the candy is therefore 134/294 ≈ 0.456. Conduct a 4 step hypothesis test to determine if this is evidence that less than 50% of students on free-and-reduced lunch pricing would choose the healthier option. These are the 4 steps I expect to see: 1. State your null and alternative hypothesis and define parameter represented by the symbols you use. 2. State the procedure and the significance level you are using to conduct your test. 3. Summarize the data with the correct test statistic and p-value (Show formulas OR screen shots of any technology used). 4. Write a conclusion in context.
Researchers investigated whether elementary school students from families in need would choose healthier lunch options if offered. A random sample of students receiving free-and-reduced lunch at five different Connecticut elementary schools were offered a choice between 2 lunch options. One was a typical school lunch prepared off and warmed on campus, while the other was a healthier school lunch made on campus from a variety of fruits, vegetables, and lean protein. For each child, researchers kept track of whether or not the child selected the healthier option. The research question was whether of not the healthier option would be selected less than the typical school lunch. More specifically, we will investigate whether the sample data provide strong evidence that the heather lunch is picked less than 50% of the time?
The researchers found in their sample of 294 students that 134 picked the healthier option. The value of the sample proportion who selected the candy is therefore 134/294 ≈ 0.456.
Conduct a 4 step hypothesis test to determine if this is evidence that less than 50% of students on free-and-reduced lunch pricing would choose the healthier option.
These are the 4 steps I expect to see:
1. State your null and alternative hypothesis and define parameter represented by the symbols you use.
2. State the procedure and the significance level you are using to conduct your test.
3. Summarize the data with the correct test statistic and p-value (Show formulas OR screen shots of any technology used).
4. Write a conclusion in context.
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