According to the U.S. Census Bureau, 11 % of children in the United States lived
ID: 3361109 • Letter: A
Question
According to the U.S. Census Bureau, 11 % of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1550 children, 234 were found to be living with at least one grandparent. At a 2 % significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11 %? Use both the p-value and the critical-value approaches.
Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.
observed z equals
p-value equals
Critical value equals
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.11
HA : p > 0.11
Hypothesis test results:
Hence,
Observed z = 5.15
P - value = 0.0000
Critical value = 2.05
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 234 1550 0.15096774 0.0079474078 5.1548559 <0.0001Related Questions
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