Inferential Statisticshard
0:00.0

In a study of protein folding, a scientist uses the Wald test to evaluate the null hypothesis H0:θ=0.5H_0: \theta = 0.5 against Ha:θ0.5H_a: \theta \neq 0.5. The researcher calculates the MLE θ^=0.58\hat{\theta} = 0.58 with a standard error SE=0.04SE = 0.04. If the Wald statistic is W=(θ^θ0)2SE2W = \frac{(\hat{\theta} - \theta_0)^2}{SE^2}, what is the value of WW and what can be concluded regarding the null hypothesis at α=0.05\alpha = 0.05 (critical value 1.9623.841.96^2 \approx 3.84)?