The decision can be made to:O reject Hodo not reject HọThe final conclusion is that:O There is enough evidence to reject the claim that the average income of rural families is differentthan that of urban families.O There is not enough evidence to reject the claim that the average income of rural families isdifferent than that of urban families.O There is enough evidence to support the claim that the average income of rural families is differentthan that of urban families.O There is not enough evidence to support the claim that the average income of rural families isdifferent than that of urban families. A researcher is interested in seeing if the average income of rural families is different than that of urbanfamilies. To see if his claim is correct he randomly selects 50 families from a rural area and finds that theyhave an average income of $69532 with a population standard deviation of $916. He then selects 49families from a urban area and finds that they have an average income of $65446 with a populationstandard deviation of $716. Perform a hypothesis test using a significance level of 0.10 to test his claim.Let rural families be sample 1 and urban familis be sample 2.The correct hypotheses are:O Ho:µ1 < µ2HA: 41 > H2(claim)O Ho:µ1 2 H2HA: 41 < µ2(claim)= l2Ο Η: μιHA: H1 + H2(claim)Since the level of significance is 0.10 the critical value is 1.645 and -1.645The test statistic is:(round to 3 places)The p-value is:(round to 3 places)

Answered: Image /qna-images/answer/82dec976-bcef-48a9-8a55-e80caa3925f0.jpg

Answered: A researcher is interested in seeing if…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A professor believes that, for the introductory art history classes at his university, the mean test score of students in the evening classes is lower than the mean test score of students in the morning classes. He collects data from a random sample of 250 students in evening classes and finds that they have a mean test score of 76.8. He knows the population standard deviation for the evening classes to be 7.2 points. A random sample of 200 students from morning classes results in a mean test score of 77.8. He knows the population standard deviation for the morning classes to be 1.9 points. Test his claim with a 90% level of confidence. Let students in the evening classes be Population 1 and let students in the morning classes be Population 2. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ1=μ2 Ha: μ1__μ2
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