Step 1 :The test statistic of \(z=-1.69\) is obtained when testing the claim that \(p<0.44\).
Step 2 :Using a significance level of \(\alpha=0.10\), we need to find the critical value(s).
Step 3 :Since the claim is that \(p<0.44\), this is a left-tailed test. Therefore, we need to find the z-score that corresponds to the area to the left under the standard normal curve that equals the significance level of 0.10.
Step 4 :By looking up the z-score in the standard normal distribution table, we find that the critical value is approximately \(-1.28\).
Step 5 :Final Answer: The critical value is \(\boxed{-1.28}\).