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The critical value for z for a hypothesis test using a 5% significance level is 1.65
It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.
It is required to find the critical value for z for a hypothesis test using a 5% significance level.
It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have a hypothesis H1 that wait time is actually greater than 60 minutes.
H1(T>60)
This is the case of the right-tailed hypothesis.
We have a significance level = 5% ⇒ 0.05
The statistics follow a normal distribution curve
Critical value = 1.6449 ≈ 1.65 (from the table at 5% significance level)
Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65
Know more about the normal distribution here:
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