Asked by

Makayla Speerli

on Oct 12, 2024

Verified

Five years ago,a company found that 8% of its employees commuted to work by car.A survey investigates whether the current proportion of employees who commute by car to work is higher than it was five years ago.A test on employee commuting by car was done on a random sample of 1000 employees,and found car commuting to be 12%.Test an appropriate hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.

A) ${\mathrm{H}}_0$ : p = 0.08; ${\mathrm{H}}_{\mathrm{A}}$ : p > 0.08; z = 4.66; P-value < 0.00001.This data shows conclusive evidence that the proportion in car commuting is greater than 8%.
B) ${\mathrm{H}}_0$ : p = 0.08; ${\mathrm{H}}_{\mathrm{A}}$ : p > 0.08; z = -4.66; P-value > 0.00001.This data shows conclusive evidence that the proportion in car commuting is greater than 8%.
C) ${\mathrm{H}}_0$ : p = 0.08; ${\mathrm{H}}_{\mathrm{A}}$ : p ? 0.08; z = 4.66; P-value < 0.99999.This data shows no evidence that the proportion in car commuting is greater than 8%.
D) ${\mathrm{H}}_0$ : p = 0.08; ${\mathrm{H}}_{\mathrm{A}}$ : p < 0.08; z = 4.66; P-value < 0.99999.This data shows no evidence that the proportion in car commuting is greater than 8%.
E) ${\mathrm{H}}_0$ : p = 0.08; ${\mathrm{H}}_{\mathrm{A}}$ : p < 0.08; z = -4.66; P-value > 0.99999.This data shows no evidence that the proportion in car commuting is greater than 8%.