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Problem: A hypothesis test is conducted to see if regular exercise helps weight loss. A random sample of 5 participants was chosen. The participants exercised 30 minutes everyday for six months. The weight was recorded before and after the regimen. Does the data below suggest that regular exercise helps weight loss? Assume a 0.05 significance level is used to test the claim
Subject/ weight before / weight after
1 / 190 / 180
2 / 170 / 160
3 / 185 / 190
4 / 160 / 160
5 / 200 / 190
Required:
Question 1: What is the appropriate hypothesis test to use for this analysis: z-test for two proportions, t-test for two proportions, t-test for two dependent samples (matched pairs), or t-test for two independent samples
Question 2: What is the null hypothesis?
Question 3: What is the alternative hypothesis?
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