Question

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 35% of the residents favored annexation. Using the data, a political strategist wants to claim that the percentage of residents who favor annexation is not equal to 38%. Testing at the 0.05 level, is there enough evidence to support the strategist claim? State the null and alternative hypothesis.

Find the value of the test statistic and IS THIS TWO TAILED OR ONE TAILED?

H0= ?

Ha= ?

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H0 : p = 0.38

Ha : p 0.38

= 0.35

n = 900

P0 = 0.38

1 - P0 = 1 - 0.38 = 0.62

Test statistic = z =

= - P0 / [P0 * (1 - P0 ) / n]

= 0.35 - 0.38 / [(0.38 * 0.62) / 900 ]

Test statistic = z = -1.85