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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
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.
- 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
- 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)
- The test statistic = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is Select an answer greater than less than (or equal to)
- Based on this, we should Select an answer fail to reject reject accept the null hypothesis.
- 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%.
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