A researcher is interested in seeing if the average income of rural families is less than that of urbanfamilies. To see if his claim is correct he randomly selects 12 families from a rural area and finds that theyhave an average income of $69429 with a standard deviation of $554. He then selects 23 families from aurban area and finds that they have an average income of $66936 with a standard deviation of $926.Perform a hypothesis test using a significance level of 0.10 to help him decide.Let the rural families be sample 1 and the urban families be sample 2.The correct hypotheses are:O Ho: µ1 < H2HA: 41 > H2(claim)Ο Η: μι μ2HA: H1 < µ2(claim)O Ho: µ1 = H2HA: H1 + H2(claim)Since the level of significance is 0.10 the critical value is -1.308The test statistic is:(round to 3 places)The p-value is:(round to 3 places)The decision can be made to:O reject HoO do not reject HoThe final conclusion is that:O There is enough evidence to reject the claim that the average income of rural families is less thanthat of urban families.O There is not enough evidence to reject the claim that the average income of rural families is lessthan that of urban families.O There is enough evidence to support the claim that the average income of rural families is less thanthat of urban families.O There is not enough evidence to support the claim that the average income of rural families is lessthan that of urban families.

Name: A researcher is interested in seeing if the average income of rural f
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A researcher is interested in seeing if the average income of rural families is less than that of urbanfamilies. To see if his claim is correct he randomly selects 12 families from a rural area and finds that theyhave an average income of $69429 wit