You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 67% at a significance level of = 0.01. According to your sample, 44 out of 76 potential voters prefer Candidate A.

1. For this study, we should use Select an answer Confidence Interval for a Population Proportion Confidence Interval for a Population Mean Given Statistics Chi-Square Test for Independence One-Way ANOVA Two Independent Sample Means Comparison Given Data Hypothesis Test for a Population Proportion Chi-Square Test for Goodness of Fit Hypothesis Test for a Population Mean Given Statistics Two Independent Sample Means Comparison Given Statistics Hypothesis Test for a Population Mean Given Data Two Dependent Sample Means Comparison Given Data Two Independent Proportions Comparison Confidence Interval for a Population Mean Given Data
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 greater than less than (or equal to)
6. Based on this, we should Select an answer fail to reject reject accept the null hypothesis.
7. As such, the final conclusion is that ...
   • The sample data suggest that the populaton proportion is significantly smaller than 67% at = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 67%
   • The sample data suggest that the population proportion is not significantly smaller than 67% at = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 67%.