In a random sample of 949 adults in a certain country, 19.2% of the sample members indicated some measure of disagreement with the statement "Globalization is more than an economic trade system—instead it includes institutions and culture."
a. Test at the 1% level the null hypothesis that at least 25% of all the country's adults would disagree with this statement.
b. Find the probability of rejecting the null hypothesis with a 1%-level test if, in fact, 22% of all the country's adults would disagree with the statement.
Click the icon to view the standard normal distribution table.
For this test at the significance level Α with sample proportion ŕ, hypothesized proportion P₀, sample size n, and ZΑ or ZΑ/2, what is the form of the decision rule?
A. Reject H₀ if (ŕ - P₀) / √(P₀(1 - P₀) / n) < -ZΑ/2 or reject H₀ if (ŕ - P₀) / √(P₀(1 - P₀) / n) > ZΑ/2
B. Reject H₀ if (ŕ - P₀) / √(P₀(1 - P₀) / n) > ZΑ
C. Reject H₀ if (ŕ - P₀) / √(P₀(1 - P₀) / n) < -ZΑ
Determine the value for -ZΑ, ZΑ, or ±ZΑ/2 as appropriate for this test.
-2.33 (Round to two decimal places as needed. Use a comma to separate answers as needed.)
Calculate the test statistic.
(ŕ - P₀) / √(P₀(1 - P₀) / n) = -4.13 (Round to two decimal places as needed.)
State the conclusion of this test.
Reject H₀. There is sufficient evidence to conclude that less than 25% of all the country's adults would disagree with this statement.
b. The probability of rejecting the null hypothesis is [ ] when, in fact, 22% of all the country's adults would disagree with the statement.
(Round to four decimal places as needed.)