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Hypothesis Testing and P-Values

The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. Each year, the survey contains several questions meant to probe respondents' views of employment. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 264 college graduates surveyed, 111 chose the response "Very important." Of the 114 people surveyed whose highest level of education was high school or less, 53 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion of all U.S. college graduates who would answer "Very important" and the proportion of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?
Perform a two-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

State the null hypothesis:
State the alternative hypothesis:
The type of test statistic:
The value of the test statistic (rounded to three decimal places):
The P value (rounded to three decimal places):

Solution Preview

The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. Each year, the survey contains several questions meant to probe respondents' views of employment. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 264 college graduates surveyed, 111 chose the response "Very important." Of the 114 people surveyed whose highest level of education was high school or less, 53 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference ...

Solution Summary

Hypothesis Testing and P-Values are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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