Question

h₁: p>0.5
oc. h₀: p=0.5
h₁: p≠0.5
od. h₀: p=0.5
h₁: p<0.5
identify the test statistic for this hypothesis test.
the test statistic for this hypothesis test is 1.70
(round to two decimal places as needed.)
identify the p - value for this hypothesis test.
the p - value for this hypothesis test is 0.045
(round to three decimal places as needed.)
identify the conclusion for this hypothesis test.
oa. fail to reject h₀. there is sufficient evidence to support the claim that the probability of
the home team winning is greater than one - half.
b. reject h₀. there is not sufficient evidence to support the claim that the probability of
the home team winning is greater than one - half.
oc. fail to reject h₀. there is not sufficient evidence to support the claim that the
probability of the home team winning is greater than one - half.
od. reject h₀. there is sufficient evidence to support the claim that the probability of the
home team winning is greater than one - half.

Explanation:

Step1: Determine the decision rule

In hypothesis testing, if the P - value is less than the significance level (commonly \(\alpha = 0.05\)), we reject the null hypothesis \(H_0\).

Step2: Compare the P - value and the significance level

Given \(P - value=0.045\) and \(\alpha = 0.05\). Since \(0.045<0.05\), we reject \(H_0\).

Step3: Interpret the result

Rejecting \(H_0\) means there is sufficient evidence to support the alternative hypothesis \(H_1:p > 0.5\) (the claim that the probability of the home team winning is greater than one - half).

Answer:

D. Reject \(H_0\). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one - half.