A team of researchers look at 2 neighboring towns to see if the incomes in those towns are significantly different from one another. They randomly sample 50 residents of town A and find an average income of $65,382 with a standard deviation of $12,352. They randomly sample 60 residents of town B and find an average income of $73,692 with a standard deviation of $5,561. Suppose the test is performed at the .05 level of significance and the resulting P-value is .12. What should our conclusion be? Group of answer choices Fail to reject the null hypothesis, there is insufficient evidence to show that these towns have the same income. Reject the null hypothesis, there is sufficient evidence to show that these towns have different incomes Fail to reject the null hypothesis, there is insufficient evidence to show that these towns have different incomes. Reject the null hypothesis, there is sufficient evidence to show that these towns have the same incom

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
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43. A team of researchers look at 2 neighboring towns to see if the incomes in those towns are significantly different from one another. They randomly sample 50 residents of town A and find an average income of $65,382 with a standard deviation of $12,352. They randomly sample 60 residents of town B and find an average income of $73,692 with a standard deviation of $5,561. Suppose the test is performed at the .05 level of significance and the resulting P-value is .12. What should our conclusion be?

Group of answer choices
Fail to reject the null hypothesis, there is insufficient evidence to show that these towns have the same income.
Reject the null hypothesis, there is sufficient evidence to show that these towns have different incomes
Fail to reject the null hypothesis, there is insufficient evidence to show that these towns have different incomes.
Reject the null hypothesis, there is sufficient evidence to show that these towns have the same income
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