Report the test statistic value

AI Thread Summary
The discussion focuses on testing whether the ideal number of children equals 2.0 based on survey data with a sample size of 1302, a mean of 2.49, and a standard deviation of 0.85. The test statistic calculated is T = 20.8, with a p-value of 0.00000, indicating a significant difference from the hypothesized mean. Participants express confusion over the appropriate use of proportions in this context, questioning the relevance of the proportion test versus the t-test. Clarification is sought on how to identify the correct values for Phat and Pnot in relation to the hypothesis being tested.
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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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