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.)
Solution:
1.
Here, the claim is that the percentage of voters prefers the Democratic candidate is larger.
To test the proportion Z-test should be used.
Thus, the correct option is z-test for a population proportion.
2.
State the hypotheses.
Null hypothesis:
H0:p≤0.52
That is, the proportion of voters prefer the Democratic candidate is not larger than 0.52.
Alternative hypothesis:
H1:p>0.52
That is, the proportion of voters prefer the Democratic candidate is larger than 0.52.
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