Question

 

Total number of candies that landed completely on their bases is 26. x=26 We treat the 50 results for each student as 50 independent trials. (Actually, each student has ten independent trials of 5 tosses each. We make the assumption that the 10 tosses within a trial are roughly independent to expedite data collection). Therefore, n = 50 and x is the total number of candies that landed completely on their base.

We treat the 50 results for each student as 50 independent trials. (Actually, each student has ten independent trials of 5 tosses each. We make the assumption that the 10 tosses within a trial are roughly independent to expedite data collection). Therefore, n = 50 and x is the total number of candies that landed completely on their base.

Questions

1. Using your data from 50 tosses, test the claim that the population proportion of Kisses® chocolates that land completely on the base is 50% at α = 10% level of significance.

a. State the null and alternate hypotheses. Identify the claim.

b. State the level of significance.

c. Determine the standardized test statistic. (2 decimal places)

d. Calculate the P-value. (4 decimal places)

e. Make a decision to “reject the ?0” or “fail to reject the ?0”.

f. Interpret the decision in the context of the original claim.

2. Using your same data again from your 50 tosses, test the claim that the population proportion of Kisses® chocolates that land completely on the base is 40% at α = 10% level of significance.

a. State the null and alternate hypotheses. Identify the claim.

b. State the level of significance.

c. Determine the standardized test statistic. (2 decimal places)

d. Calculate the P-value. (4 decimal places)

e. Make a decision to “reject the ?0” or “fail to reject the ?0”.

f. Interpret the decision in the context of the original claim.

3. Will your decision in problem #2 change if you test at α = 5% level of significance?

4. Using your same data again from your 50 tosses, test the claim that the population proportion of Kisses® chocolates that land completely on the base is less than 35% at α = 5% level of significance.

a. State the null and alternate hypotheses. Identify the claim.

b. State the level of significance.

c. Determine the standardized test statistic. (2 decimal places)

d. Calculate the P-value. (4 decimal places)

e. Make a decision to “reject the ?0” or “fail to reject the ?0”.

f. Interpret the decision in the context of the original claim.

5. Will your decision in problem #4 change if you test at α = 10% level of significance?

Answer 1