A researcher is interested in seeing if the average income of rural families is greater than that of urbanfamilies. To see if his claim is correct he randomly selects 59 families from a rural area and finds that theyhave an average income of $65268 with a population standard deviation of $892. He then selects 56families from a urban area and finds that they have an average income of $66697 with a populationstandard 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:Ο Ho: μι < μεHA:H1 H₂(claim)Ο Η: με 2 μεHA: H1 H₂(claim)Ho: 1HA: 12(claim)Since the level of significance is 0.01 the critical value is 2.326= 142The test statistic is:The p-value is:The decision can be made to:O reject HoO do not reject Ho(round to 3 places)(round to 3 places)The final conclusion is that:O There is enough evidence to reject the claim that the average income of rural families is greaterthan that of urban families.O There is not enough evidence to reject the claim that the average income of rural families is greaterthan that of urban families.O There is enough evidence to support the claim that the average income of rural families is greaterthan that of urban families.O There is not enough evidence to support the claim that the average income of rural families isgreater than that of urban families.

Givenfor rural familiesn1=59x1=65268σ1=892For urban familiesn2=56x2=66697σ2=820α=0.01

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 families 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: O Ho: ₁₂ HA: ₁₂(claim) Ο Η: με 2 με HA: ₁₂(claim) O Ho:μ1 = μ¹₂ HA: 12(claim) Since the level of significance is 0.01 the critical value is 2.326 (round to 3 places) The test statistic is: The p-value is: The decision can be made to: O reject Ho do not reject Ho (round to 3 places) The final conclusion is that: O There is enough evidence to reject the claim that the average income of rural families is greater than that of urban families. O There is not enough evidence to reject the claim that the average income of rural families is greater than that of urban families. O There is enough evidence to support the claim that the average income of rural families is greater than that of urban families. O There is not enough evidence to support the claim that the average income of rural families is greater than that of urban families.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA