Step 1 :Given that the test statistic, \(z = -1.07\) and the level of significance, \(\alpha = 0.10\).
Step 2 :We are dealing with a left-tailed test, so we want to find the probability that a standard normal random variable is less than -1.07. This probability is the P-value.
Step 3 :We can find this probability using the cumulative distribution function (CDF) for a standard normal distribution.
Step 4 :Calculate the P-value, which is approximately 0.1423.
Step 5 :Compare the P-value with the level of significance. If the P-value is less than the level of significance, we reject the null hypothesis.
Step 6 :Since the P-value (0.1423) is greater than the level of significance (0.10), we do not reject the null hypothesis.
Step 7 :Final Answer: \(\boxed{0.1423}\)