A television show conducted an experiment to study what happens when buttered toast is dropped on the floor. When

44

buttered slices of toast were dropped,

25

of them landed with the buttered side up and

19

landed with the buttered side down. Use a

0.05

significance level to test the claim that toast will land with the buttered side down

50%

of the time. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. After that, supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than

50%

of the time, write a conclusion that addresses the intent of the experiment.

Part 1

Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped. Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down

50%

of the time.

H0:

p

H1:

p

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

z=

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

P-value=

Part 4

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.