You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.49. You use a significance level of α=0.02. H0:p=0.49 H1:p<0.49 You obtain a sample of size n=733 in which there are 351 successes. What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... The sample data support the claim that the proportion of voters who prefer Candidate A is less than 0.49. There is not sufficient sample evidence to support the claim that the proportion of voters who prefer Candidate A is less than 0.49.
Added by Rebecca V.
Step 1
49 \) - Alternative hypothesis \( H_1: p < 0.49 \) (left-tailed test) - Significance level \( \alpha = 0.02 \) - Sample size \( n = 733 \) - Number of successes \( x = 351 \) - Sample proportion \( \hat{p} = \frac{351}{733} \approx 0.4789 \) Show more…
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