Let’s assume that the United States population is evenly split; so exactly half of the U.S. are men and the other half of the U.S. are women. In SPSS, the variable sex has been coded as 1=male, 2=female. Recode it so that it equals 1=female, 0=male. Then, this variable’s mean can be interpreted as a proportion. Therefore, if we were to poll the entire U.S. population, we would expect a population mean of around .5, or 50% female. Is there a significant difference between the gender representation in our 2018 GSS sample and our hypothetical U.S. population? Let’s run a one-sample t-test to find out (SPSS does not differentiate z and t tests, so the t-test is used for both). State your null and alternative hypotheses in symbolic and sentence form: H0: H1: What is your alpha? What is your critical score?
A one sample hypothesis test examines whether a sample significantly differs from a population. However, in “real” life, we rarely know the
One-Sample Hypothesis Testing
Let’s assume that the United States population is evenly split; so exactly half of the U.S. are men and the other half of the U.S. are women. In SPSS, the variable sex has been coded as 1=male, 2=female. Recode it so that it equals 1=female, 0=male. Then, this variable’s mean can be interpreted as a proportion. Therefore, if we were to poll the entire U.S. population, we would expect a population mean of around .5, or 50% female.
Is there a significant difference between the gender representation in our 2018 GSS sample and our hypothetical U.S. population? Let’s run a one-sample t-test to find out (SPSS does not differentiate z and t tests, so the t-test is used for both).
State your null and alternative hypotheses in symbolic and sentence form:
H0:
H1:
What is your alpha? What is your critical score?
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