Asked by

Courtney Moore

on Oct 12, 2024

Verified

In April of 2011,the unemployment rate in Canada was reported to be 7.6%.Suppose that Statistics Canada claims that the current unemployment rate is lower than that of April 2011.Suppose a test was conducted on current unemployment and a random sample size of 1000 and found unemployment at 6.1%.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 = 0.076; ${\mathrm{H}}_{\mathrm{A}}$ : p > 0.076; z = -1.79; P-value = 0.9633.This data shows no evidence that the unemployment rate has decreased since April of 2011.
B) ${\mathrm{H}}_0$ : p = 0.076; ${\mathrm{H}}_{\mathrm{A}}$ : p < 0.076; z = 1.79; P-value = 0.0367.This data shows very weak evidence that the unemployment rate has decreased since April of 2011.
C) ${\mathrm{H}}_0$ : p = 0.076; ${\mathrm{H}}_{\mathrm{A}}$ : p ? 0.076; z = -1.79; P-value = 0.0734.This data shows moderate evidence that the unemployment rate has decreased since April of 2011.
D) ${\mathrm{H}}_0$ : p = 0.076; ${\mathrm{H}}_{\mathrm{A}}$ : p < 0.076; z = -1.79; P-value = 0.0367.This data shows strong evidence that the unemployment rate has decreased since April of 2011.
E) ${\mathrm{H}}_0$ : p = 0.076; ${\mathrm{H}}_{\mathrm{A}}$ : p > 0.076; z = 1.79; P-value = 0.9633.This data shows strong evidence that the unemployment rate has decreased since April of 2011.