Only 11% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 380 randomly selected registered voters surveyed, 61 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? A.)For this study, we should use Select an answer z-test for a population proportion t-test for a population mean B.)The null and alternative hypotheses would be: -H0:H0: ? p μ Select an answer < > ≠ = (please enter a decimal) -H1:H1: ? μ p Select an answer = ≠ < > (Please enter a decimal) c. )The test statistic ? z t = (please show your answer to 3 decimal places.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Question 21
Only 11% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 380 randomly selected registered voters surveyed, 61 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance?
A.)For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
B.)The null and alternative hypotheses would be:
-H0:H0: ? p μ Select an answer < > ≠ = (please enter a decimal)
-H1:H1: ? μ p Select an answer = ≠ < > (Please enter a decimal)
c. )The test statistic ? z t = (please show your answer to 3 decimal places.)
Solution:
21.
Let X be number of registered voters will vote in the upcoming election and n be the sample number of registered voters.
From the given information, X=61 and n=380.
A.
One proportion test is used to test the population proportion. Here, the z statistic is to be used.
Thus, the correct option is z-test.
Reason for the incorrect option:
The t-test is used to test the population mean and not for the population proportion.
Thus, the option t-test is incorrect.
B.
State the hypotheses
Null hypothesis:
Alternative hypothesis:
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