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4. A national poll claims that 20% of all households with children have only one child. Delaney, a statistics student, wondered if the rate

 

4. A national poll claims that 20% of all households with children have only one child. Delaney, a statistics student, wondered if the rate of single child families at her high school was different from the national proportion. To test this claim, she took a random sample of 150 students at her high school and tested the hypotheses listed below: H:p-0.20 H:p 0.20 where p the proportion of families at her high school with only one child. From her sample of 150 students, 18 responded that they were an only child. When she performed a significance test, she obtained a p-value of 0.0143. What conclusion would you make? a. The P-value is small, so she should fail to reject H.. Delaney does not have convincing evidence that the proportion of students at her school that have no siblings is different than 0.20. b. The P-value is small, so she should fail to reject Ho. Delaney has convincing evidence that the proportion of students at her school that have no siblings is different than 0.20. c. The P-value is small, so she should reject H.. Delaney does not have convincing evidence that the proportion of students at her school that have no siblings is different than 0.20. d. The P-value is small, so she should reject H.. Delaney has convincing evidence that the proportion of students at her school that have no siblings is different than 0.20.

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