Question

The mayor of a town has proposed a plan for the construction of a new bridge. A political study took a sample of 1300 voters in the town and found that 66%of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 69%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?

Step 6 of 7:

Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p =0.69

H_a : p 0.69

= 0.66

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.66 - 0.69/ [(0.66 * 0.34) / 1300]

= -2.339

P-value = 0.0193

= 0.05

P-value <

Reject the null hypothesis .

answered by: anonymous