A Mayoral Election Race Is Tightly Contested

question 49

Essay

A mayoral election race is tightly contested. In a random sample of 1400 likely voters, 742 said that they were planning to vote for the current mayor. Based on this sample, would you claim that the mayor will win a majority of the votes? Explain.

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Definitions:

Square Root

The square root of a number is a value that, when multiplied by itself, gives the original number.

P < 0.05

A statistical threshold indicating that the observed results are significant with a probability of less than 5% being due to chance.

Obtained Value

The actual value measured or computed from a data set or experiment, often compared against a theoretic or critical value in hypothesis testing.

Population Standard Deviation

The population standard deviation is a measure of the dispersion or spread of a set of values within a population, quantifying how much the values differ from the population mean.