Question

a television show conducted an experiment to study what happens when buttered toast is dropped on the floor. when 52 buttered slices of toast were dropped, 28 of them landed with the buttered side up and 24 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.

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.)

Explanation:

Step1: Determine the null hypothesis

The null hypothesis \(H_0\) is a statement of equality. The claim is that toast will land with the buttered side down \(50\%\) of the time. So, \(H_0:p = 0.5\)

Step2: Determine the alternative hypothesis

The original claim is a two - tailed test (since it just says "50% of the time" without specifying a direction like "more than" or "less than" initially). But if we consider the second part (after the first test) which is about "more than 50%", but for the first part (testing the claim that it is 50% of the time), the alternative hypothesis \(H_1:p
eq0.5\)

Answer:

\(H_0:p = 0.5\)
\(H_1:p
eq0.5\)