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The null and alternative hypotheses for a decision that is relevant to my personal life : Decision: Should I join a gym to improve my
The null and alternative hypotheses for a decision that is relevant to my personal life : Decision: Should I join a gym to improve my physical fitness or exercise on my own? :The mean level of physical fitness without a gym membership 0 : hypothetical fitness goal Null Hypothesis (H0): 0 The mean level of physical fitness without a gym membership () is equal to or greater than a hypothetical fitness goal (0). Alternative Hypothesis (Ha): < 0 The mean level of physical fitness with a gym membership () is significantly lower than the fitness goal (0), suggesting a need for the gym. The Type I and Type II errors that could occur with your decision-making process. Type I Error: Rejecting H0 when it's true (Joining a gym when you could achieve your fitness goal without it) Type II Error: Failing to reject H0 when it's false (Not joining a gym when it's actually necessary to reach your goal) Step-by-step explanation Hypothesis Test Approach: Measure current fitness levels through relevant metrics Set a Fitness Goal (0): Define a specific fitness objective Experiment with Gym Membership: Join a gym for a trial period Track Progress: Regularly measure
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