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The mayor of a town believes that less than 42% of the residents favor annexation of...

The mayor of a town believes that less than 42% of the residents favor annexation of a new bridge. Is there sufficient evidence at the 0.05 level to support the mayor's claim? State the null and alternative hypotheses for the above scenario.

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Solution:

Claim: The mayor of a town believes that less than 42% of the residents favor annexation of a new bridge.

This a left (One) tailed test.

The null and alternative hypothesis is,

Ho: p = 0.42

Ha: p < 0.42

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