Researchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee. Suppose that mu_I is the average time to flee for a lizard that lives in the invaded areas in Alabama, and mu_U is the average time to flee for a lizard living in the uninvaded areas of Arkansas. When the data is loaded into the correct tool in StatKey, and the "Generate 1000 samples" button is clicked, here is what StatKey generates:- see image. The researchers observed that the lizards from Alabama had an average response time of 32 seconds, and the lizards from Arkansas had an average response time of 44 seconds. Using this, which of the following is closest to the P-value for this hypothesis test? What conclusions can we make at the \alpha = 0.05 significance level? Choice 1: We have strong enough evidence to reject the null hypothesis. Choice 2: We do not have strong enough evidence to reject the null hypothesis. Which choice is correct and why?
Researchers wanted to determine whether fence lizards learned to avoid fire ants. To determine this, they gathered lizards from eastern Arkansas (where there were no fire ants), and from southern Alabama (which had been invaded by fire ants). The lizards were then exposed to fire ants, and researchers measured how long (in seconds) it took the lizards to flee.
Suppose that mu_I is the average time to flee for a lizard that lives in the invaded areas in Alabama, and mu_U is the average time to flee for a lizard living in the uninvaded areas of Arkansas. When the data is loaded into the correct tool in StatKey, and the "Generate 1000 samples" button is clicked, here is what StatKey generates:- see image.
The researchers observed that the lizards from Alabama had an average response time of 32 seconds, and the lizards from Arkansas had an average response time of 44 seconds. Using this, which of the following is closest to the P-value for this hypothesis test?
What conclusions can we make at the \alpha = 0.05 significance level?
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