1. Null hypothesis (H0): p ≥ 0.20 Alternative hypothesis (Ha): p < 0.20. Option C. 2. The z-test statistic of -2.89 would be used to determine whether to reject the null hypothesis at the 0.01 significance level
How can you identify the null and alternative hypothesis?
sample proportion
(1,303 / 6,998 = 0.1862)
p_0 = hypothesized proportion, which is 20% (0.20)
n is the sample size, which is the number of surveys sent (6,998)
The formula for the Z-test statistic is:
Z = (p^ - p₀) / √(p₀(1 - p₀) / n)
Z = (0.1862 - 0.20) / √(0.20(1 - 0.20) / 6,998) = -2.89