The GSS asks whether you agree or disagree with the
following statement: "It is much better for...

Question

The GSS asks whether you agree or disagree with the
following statement: "It is much better for everyone involved if the man
is the achiever outside the home and the woman takes care of the home and
family" (variable FEFAM). The sample proportion agreeing was 0.66 in 1977
and 0.36 in 2004 (n = 883).

(a) Show that  the estimated standard error in 2004 was
0.016.

(b) Show that the margin of error for a 95% confidence
interval using the estimate in 2004 was 0.03. Interpret.

(c) Construct the 95% confidence interval for 2004, and
interpret it.

Himanshu · Accepted Answer

Assignment 109966
Answer: Let us denote the random variable X as the number of individuals agreeing with the given statement.
In a sample of size 883, 36% agreed with the above statement. Clearly X follows binomial distribution with n = 883 and proportion = p. The estimate of p is 0.36 (i.e.,

The GSS asks whether you agree or disagree with the following statement: "It is much better for everyone involved if the man is the achiever outside the home and the woman takes care of the home and...

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