Report the test statistic value

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Homework Help Overview

The discussion revolves around a statistical test concerning the ideal number of children, specifically testing whether the mean response from a survey equals 2.0. The original poster presents data including sample size, mean, standard deviation, and test statistic values.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand how to apply the formula for the test statistic in the context of their problem, specifically questioning the appropriate values for Phat and Pnot. Some participants suggest reconsidering the choice of a proportion test based on the hypotheses being tested.

Discussion Status

The discussion is ongoing, with participants exploring the appropriateness of the statistical test being used and questioning the original poster's approach. Guidance has been offered regarding the need to clarify the type of test based on the hypotheses.

Contextual Notes

There appears to be confusion regarding the application of statistical tests, particularly in distinguishing between proportion tests and tests for means. The original poster references examples from class that may not directly apply to their situation.

melissa5789
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Homework Statement



Is the ideal number of children equal to 2 or higher or lower than that? For testing that the mean response from a survey equals 2.0 for the question "What do you think is the ideal number of children to have?"

(a). Report the test statistic value and show how it was obtained from other values.

Homework Equations


test of mu = 2.0 vs. not=2.0
N=1302, mean=2.49, stdev=0.85, SE mean:0.0236, T=20.8, P=0.00000

The Attempt at a Solution




I know that the test statistic "Z" = (Phat - Pnot) / sqrt((Pnot*(1-Pnot)/n)

What I don't know is which numbers to use for Phat and Pnot. The examples from class are if you flip a coin 10 times, then Pnot is 1/2 because you expect to get heads half the time. And if you flip the coin 10 times and you get 7 heads, then Phat = 7/10. But I don't know how to use that to help me with this problem.
 
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You should ask yourself whether you should be doing a proportion test in this case.
 
i don't understand...
 
Why did you decide to perform a proportion test? Look at your null and alternate hypotheses. What statistic are you testing?
 

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