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Exercise and Stress Many studies have shown that people who engage in any exercise have improved mental health over those that never exercise. In particular, even a small amount of exercise seems to confer some resilience to stress. Most of these studies, by necessity, have been observational studies. A recent experiment with mice moves us one step closer to determining a causal association. In the study, mice were randomly assigned to either an enriched environment (EE) where there was an exercise wheel available or a standard environment (SE) with no exercise options. After three weeks in the specified environment, for five minutes a day for two weeks, the mice were each exposed to a "mouse bully" - a mouse that was very strong, aggressive, and territorial. At the end of the two weeks, the mice in the SE group exhibited maladaptive, depressive-like, and anxiety-like behavior across a wide spectrum of activities. This was not true of the mice in the EE group; they behaved similarly to mice that had never had the stress-inducing bully experience. In particular, one measure of mouse anxiety is amount of time hiding in a dark compartment, with mice that are more anxious spending more time in darkness. The amount of time spent in darkness during one trial is recorded for all the mice and is shown in Table 1 and available in StressedMice. Test to see if mice that have spent time in an enriched environment with options for exercise spend significantly less time in darkness after a stress-inducing experience. Environment Time in Darkness (seconds) Enriched 359 280 138 227 203 184 231 Standard 394 477 439 428 391 488 454 Table 1 Do mice from an enriched environment spend less time in darkness?State the null and alternative hypotheses. Use subscripts 1 for the mice in EE group and 2 for the mice in SE group. :: /1 :: p :: P1 :: P2 ::: :: :: A :: /2 A : X 2 :: p : P1 :: P2 Ho: vs Ha: Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = p-value =Does the sample provide strong evidence that mice that have spent time in an enriched environment with options for exercise spend significantly less time in darkness after a stress-inducing experience? Yes O No