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A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 57 families from a rural area and finds that they have an average income of $67821 with a population standard deviation of $748. He then selects 42 families from a urban area and finds that they have an average income of $67633 with a population standard deviation of $616. Perform a hypothesis test using a significance level of 0.05 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: Ο Ηο: μι < με HA: 1₂(claim) Ho:μ1 ≥ 2 HA: 12(claim) O Ho: ₁ = 2 HA: 12(claim) Since the level of significance is 0.05 the critical value is -1.645 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)

A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 57 families from a rural area and finds that they have an average income of $67821 with a population standard deviation of $748. He then selects 42 families from a urban area and finds that they have an average income of $67633 with a population standard deviation of $616. Perform a hypothesis test using a significance level of 0.05 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: Ο Ηο: μι < με HA: 1₂(claim) Ho:μ1 ≥ 2 HA: 12(claim) O Ho: ₁ = 2 HA: 12(claim) Since the level of significance is 0.05 the critical value is -1.645 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)

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 less than that of urban families. To see if his claim is correct he randomly selects 57 families from a rural area and finds that they have an average income of $67821 with a population standard deviation of $748. He then selects 42 families from a urban area and finds that they have an average income of $67633 with a population standard deviation of $616. Perform a hypothesis test using a significance level of 0.05 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: Ο Ηο: μι < με HA: μι > μ2(claim) © Ho: μι 2 μ2 HAM1₂(claim) O Ho: ₁ = ₂ HAM12(claim) Since the level of significance is 0.05 the critical value is -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
Transcribed Image Text:A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 57 families from a rural area and finds that they have an average income of $67821 with a population standard deviation of $748. He then selects 42 families from a urban area and finds that they have an average income of $67633 with a population standard deviation of $616. Perform a hypothesis test using a significance level of 0.05 to test his claim. Let rural families be sample 1 and urban familis be sample 2. The correct hypotheses are: Ο Ηο: μι < με HA: μι > μ2(claim) © Ho: μι 2 μ2 HAM1₂(claim) O Ho: ₁ = ₂ HAM12(claim) Since the level of significance is 0.05 the critical value is -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)
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