A television show conducted an experiment to study what happens when buttered toast is dropped on the floor. When 45 buttered slices of toast weredropped, 27 of them landed with the buttered side up and 18 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 theP-value method. Use the normal distribution as an approximation to the binomial distribution. Afterthat, supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than 50% of thetime, write a conclusion that addresses the intent of the experiment.

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 notround.)

Identify the test statistic.

z=

(Round to two decimal places asneeded.)

Identify theP-value.

P-value=

(Round to three decimal places asneeded.)

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

Accept, Fail to reject, Reject the null hypothesis. There is not, is sufficient evidence to support, warrant rejection of the claim that buttered toast will land with the buttered side down 50% of the time.

Write a conclusion that addresses the test that the toat will land with the buttered side down more than 50% of the time.

The intent of the experiment was to test

H0: p ? and H1: p ?

Based on theseresults, there is, is not sufficient evidence to support of the claim that buttered toast will land with the buttered side down more than 50% of the time.

(Type integers or decimals. Do notround.)