The national lottery administration considers that the average household income of those who play the national lottery is at least $ 37,000. It is assumed that the distribution of household income of national lottery players is normal and their standard deviations are $ 5756. 36 households playing the national lottery were randomly selected and their average income was $ 36243. According to this; a) Construct the H0 and H1 hypotheses. Test the H0 hypothesis at the level of α = 0.01 significance and interpret the test result. b) Calculate the p-value of the test and interpret it by comparing it with α.

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