Final answer:
To find the P-value for a right-tailed test, compare the test statistic to the critical value and calculate the area under the curve. In this case, the P-value is less than α, indicating that the observed test statistic is unlikely to occur by chance alone, leading us to reject the null hypothesis.
Step-by-step explanation:
To find the P-value for a right-tailed test, we need to compare the test statistic to the critical value and calculate the area under the curve. In this case, we have a test statistic of z = 1.65 and α = 0.07. We can use the z-table to find the area to the right of z = 1.65, which is 0.0495. This is the P-value.
Since α = 0.07 and the P-value is less than α, we can reject the null hypothesis (H₀). The P-value represents the probability of observing a test statistic as extreme as the one we have observed, assuming that the null hypothesis is true. In this case, the P-value is less than α, indicating that the observed test statistic is unlikely to occur by chance alone, leading us to reject the null hypothesis.