- Materials and Introduction:
- Each person should have 10 KISSES® chocolates of thesame variety and a 16-ounce plastic cup
- Examine one of the KISSES® chocolates. There are twopossible outcomes when a KISSES® chocolate is tossed -landing completely on the base or not landing completely on thebase.
- Estimate p, the proportion of the time that aKISSES® chocolate will land completely on its base whentossed.
- We will assume that p is approximately 50% and testthe claim that the population proportion of Kisses® chocolates thatland completely on the base is less than 50%.
- We will assume that p is approximately 35% and testthe claim that the population proportion of Kisses® chocolates thatland completely on the base is different than 35%.
- Experiment: The investigation is asfollows:
- Put 10 KISSES® chocolates into the cup
- Gently shake the cup twice to help mix up the candies.
- Tip the cup so the bottom of the rim is approximately 1 – 2inches from the table and spill the candies.
- Count the number of candies that land completely on theirbase.
- Return the candies to the cup and repeat until you have spilledthe candies 5 times.
- Record your results on the Data Table.
Data Table:
Toss Number | Number of Candies Landing Completely on Base |
1 | |
2 | |
3 | |
4 | |
5 | |
Total | |
- Questions
We treat the 50 results for eachstudent as 50 independent trials. Actually, each student has tenindependent trials of 5 tosses each. We make the assumption thatthe 10 tosses within a trial are roughly independent to expeditedata collection.
- We will assume that p is approximately 50% for thefollowing two tests.
- Test the claim that the population proportion of Kisses®chocolates that land completely on the base is different than 50%at ? = 10% level of significance.
State hypotheses and ?:
Calculate the evidence – Statetest used. Clearly state the p-value.
State the complete decision rulethen state clearly your decision.
State your conclusion in contextto the problem.
- Test the claim that the population proportion of Kisses®chocolates that land completely on the base is less than 50% at ? =10% level of significance.
State hypotheses and ?:
Calculate the evidence – Statetest used. Clearly state the p-value.
State the complete decision rulethen state clearly your decision.
State your conclusion in contextto the problem.
- We will assume that p is approximately 35% for thefollowing two tests.
- Test the claim that the population proportion of Kisses®chocolates that land completely on the base is different than 35%at ? = 5% level of significance.
State hypotheses and ?:
Calculate the evidence – Statetest used. Clearly state the p-value.
State the complete decision rulethen state clearly your decision.
State your conclusion in contextto the problem.
