A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To

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A Researcher Is Interested In Seeing If The Average Income Of Rural Families Is Greater Than That Of Urban Families To 1 (91.53 KiB) Viewed 35 times

A researcher is interested in seeing if the average income of rural families is greater than that of urban families. To see if his claim is correct he randomly selects 59 famities from a rural area and finds that they have an average income of $65268 with a population standard deviation of $892. He then selects 56 families from a urban area and finds that they have an average income of $66697 with a population standard deviation of $820. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban familis be sample 2 . The correct hypotheses are: H0​:μ1​≤μ2​HA​:μ1​>μ2​ (claim) H0​:μ1​≥μ2​HA​:μ1​<μ2​( claim )H0​:μ1​=μ2​HA​:μ1​=μ2​( claim )​ Since the level of significance is 0.01 the critical value is 2.326 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: raject: H0​ do not reject H0​ The final conclusion is that: There is enough evidence to reject the claim that the average income of rural families is greater than that of urban families. There is not enough evidence to reject the claim that the average income of rurat families is greater than that of urban families. There is enough evidence to support the claim that the average income of rural families is greater than that of urban families. There is not enough evidence to support the claim that the averase income of rural families is greater than that of urban families: