Question

The 2002 General Social Survey asked, "What do you think is the ideal number of children for a family to have?" The 484 females who responded had a mean of 2.97, and standard deviation of 1.77. The 95% confidence interval is (2.81, 3.13).

(a) What is the sample statistic?


(b) Find the standard error.

(c) Using the confidence interval, what can you say about the true population mean?

1. We are confident that 95% of Americans think that the true mean ideal number of children for a family to have is between 2.81 and 3.13.

2. We are 95% confident that the true mean ideal number of children for a family to have is between 2.81 and 3.13.    

3. We are 5% confident that the true mean ideal number of children for a family to have is between 2.81 and 3.13.

4. We are confident that, 95% of the time, the true mean ideal number of children for a family to have is between 2.81 and 3.13.

(d) Is it plausible that the population mean is 2? Explain.

1. No, 2 is not in this interval.

2. No, 2 is in this interval.    

3. Yes, 2 is in this interval.

4. Yes, 2 is not in this interval.

(e) If we were to conduct a hypothesis test of H₀: μ = 2 vs. H_a: μ ≠ 2, what could we say based off the above interval?

1. The p-value is greater than .05

2. We would reject the null hypothesis

3. The p-value is less than .05

4. We would not reject the null hypothesis

5. None of the other conclusions could be made

Answer 1

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