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Null Hypothesis for a General Social Survey

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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 240 college graduates surveyed, 110 chose the response "Very important." Of the 131 people surveyed whose highest level of education was high school or less, 66 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 P1 of all U.S. college graduates who would answer "Very important" and the proportion P2 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.

Problem:

Null hypothesis: H0:______

Alternative hypothesis: H1:______

Type of test statistic: (Z, t, Chi squared, F)

Value of test statistic:______

p-value:____

Can we conclude that there is a difference between the two populations in the proportions who could answer "Very important"?: (Yes/No)

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Solution Summary

The solution determines the null and alternative hypothesis, value of test statistic and the p-value.

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Question

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 240 college ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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