A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? p μ Select an answer ≤ = < ≥ ≠ > (please enter a decimal) H1: ? p μ Select an answer > ≥ ≤ = < ≠ (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.)
A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?
- For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
- The null and alternative hypotheses would be:
Ho: ? p μ Select an answer ≤ = < ≥ ≠ > (please enter a decimal)
H1: ? p μ Select an answer > ≥ ≤ = < ≠ (Please enter a decimal)
- The test statistic ? z t = (please show your answer to 3 decimal places.)
Determine the type of test used for the given study.
From the given information, it is clear that the 52% of voters prefer the Democratic candidate and think that the actual percent is larger. 149 of the 266 voters that you surveyed said that they prefer the Democratic candidate.
The conditions for the proportion test for sample n and the true population proportion p.
Let p be the proportion of voters who prefer the Democratic candidate.
Since, both the conditions are satisfied the appropriate test used for the given study is one sample proportion z-test.
Correct option: z-test for a population proportion
State the hypotheses.
That is, the population proportion equals 0.54.
That is, the population proportion is greater than 0.54.
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