A candidate in a local election thinks seniors are by far her best supporters.She believes that the difference in the support between seniors and non-seniors is more than 15%.In order to verify this belief,the team samples 100 seniors and 150 non-seniors to find what proportion of each group supports the candidate.It is found that 50 of the seniors support her and 36 of the non-seniors support her.
A)Specify the hypotheses to determine if the difference in the support between seniors and non-seniors is more than 15%.
B)Calculate the value of the test statistic and the p-value.
C)Make a conclusion at the 5% significance level.
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