Question

1. (38 pts) A legislator in a town of 10,000 people believes that a majority of her constituents favor a lower driving speed through school zones. She surveyed 302 people using a simple random sample and 170 supported lower speeds.

a. Perform a 9-step hypothesis test with an alpha level of 0.01

Answer 1

Null hypothesis: The proportion is less than or equal to 0.5

Alternate hypothesis: The proportion is more than 0.5

For alpha = 0.01

z_c = 2.33 ( right tailed ).

Z = 2.19

Reject null hypothesis: if Z > z_c  

Z = 2.19 < z_c = 2.33

Hence null hypothesis is not rejected

The proportion is less than or equal to 0.5