A Candidate in a Local Election Thinks Seniors Are by Far

question 106

Essay

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 nonseniors is more than 15%. 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.

• 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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