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A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 54 families from a rural area and finds that they have an average income of $67109 with a population standard deviation of $536. He then selects 46 families from a urban area and finds that they have an average income of $67865 with a population standard deviation of $631. 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.

A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 54 families from a rural area and finds that they have an average income of $67109 with a population standard deviation of $536. He then selects 46 families from a urban area and finds that they have an average income of $67865 with a population standard deviation of $631. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 54 families from a rural area and finds that they have an average income of $67109 with a population standard deviation of $536. He then selects 46 families from a urban area and finds that they have an average income of $67865 with a population standard deviation of $631. 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: Ho: µi < M2 HA: H1 > u2(claim) Ho: H1 HA: H1 < H2(claim) Ho: µ1 = µ2 HA: H1 + µ2(claim) Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: There is enough evidence to reject the claim that the average income of rural families is different than that of urban families. There is not enough evidence to reject the claim that the average income of rural families is different than that of urban families. There is enough evidence to support the claim that the average income of rural families is different than that of urban families. There is not enough evidence to support the claim that the average income of rural families is different than that of urban families.
Transcribed Image Text:A researcher is interested in seeing if the average income of rural families is different than that of urban families. To see if his claim is correct he randomly selects 54 families from a rural area and finds that they have an average income of $67109 with a population standard deviation of $536. He then selects 46 families from a urban area and finds that they have an average income of $67865 with a population standard deviation of $631. 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: Ho: µi < M2 HA: H1 > u2(claim) Ho: H1 HA: H1 < H2(claim) Ho: µ1 = µ2 HA: H1 + µ2(claim) Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: There is enough evidence to reject the claim that the average income of rural families is different than that of urban families. There is not enough evidence to reject the claim that the average income of rural families is different than that of urban families. There is enough evidence to support the claim that the average income of rural families is different than that of urban families. There is not enough evidence to support the claim that the average income of rural families is different than that of urban families.
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