Exam 8: Inferences About Proportions

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Lilo wants to know if equal proportions of students in her class know how to surf as compared to do not know how to surf. She randomly samples 50 students in her class and asks them if they know how to surf (yes or no). Twenty students indicate "no," that they do not know how to surf while 30 students indicate "yes," they do know how to surf. Using SPSS, conduct the appropriate statistical procedure at alpha of .05. Interpret the output including identifying the specific statistical procedure that has been used and reporting the extent to which the test is statistically significant. Include appropriate evidence (e.g., values from the output).

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A chi-square goodness of fit was conducted to determine if equal proportions of students in Lilo's class know how to surf as compared to do not know how to surf. The test was not statistically significant, χ\chi 2 = 2.00, df = 1, p = .157.

 A chi-square goodness of fit was conducted to determine if equal proportions of students in Lilo's class know how to surf as compared to do not know how to surf. The test was not statistically significant,  \chi <sup>2</sup> = 2.00, df = 1, p = .157.

What is the measurement scale for variables that are used when examining inferences about proportions? Select all that apply.

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A , B

What are the characteristics of the Chi square distribution? Select all that apply.

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A , B

For a random sample of 20 children, 18 attended preschool and 2 did not attend preschool. Test the following hypotheses at the .05 level of significance: :\pi=75 :\pi.75

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For a random sample of 25 students, 20 passed the exam and 5 did not pass the exam. Test the following hypotheses at the .01 level of significance: :\pi=75 :\pi.75

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What are the characteristics of the Chi square distribution? Select all that apply.

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