You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 65% at a significance level of = 0.025. According to your sample, 41 out of 69 potential voters prefer Candidate A.

1. For this study, we should use Select an answer Chi-Square Test for Independence Chi-Square Test for Goodness of Fit Two Independent Proportions Comparison Two Independent Sample Means Comparison Given Data Confidence Interval for a Population Mean Given Statistics Hypothesis Test for a Population Mean Given Data Hypothesis Test for a Population Mean Given Statistics Confidence Interval for a Population Proportion Hypothesis Test for a Population Proportion One-Way ANOVA Two Dependent Sample Means Comparison Given Data Confidence Interval for a Population Mean Given Data Two Independent Sample Means Comparison Given Statistics
2. The null and alternative hypotheses would be: H0H0: ? p Select an answer = > < (please enter a decimal) H1H1: ? p Select an answer = < > (Please enter a decimal)
3. The test statistic = (please show your answer to 3 decimal places.)
4. The p-value = (Please show your answer to 4 decimal places.)
5. The p-value is Select an answer less than (or equal to) greater than
6. Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
7. As such, the final conclusion is that ...
   • The sample data suggest that the population proportion is not significantly smaller than 65% at = 0.025, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 65%.
   • The sample data suggest that the populaton proportion is significantly smaller than 65% at = 0.025, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 65%