Determine if there is sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance. N=52
Summary Table for Live births 

Mean 
6,785 
Median 
4,462 
Standard Deviation 
8119 
Minimum 
519 
Maximum 
46,661 
Given that, sample size = 52
sample mean = 6785 and standard deviation = 8119
The null and alternative hypotheses are,
H0 : μ = 5000
Ha : μ > 5000
Test statistic is,
=> Test statistic = z = 1.59
pvalue = P(Z > 1.59) = 1  P(Z < 1.59) = 1  0.9441 = 0.0559
=> pvalue = 0.0559
Since, pvalue = 0.0559 is greater than 0.05 level of significance, we fail to reject the null hypothesis.
Conclusion : There is not sufficient evidence to conclude the average amount of births is over 5000 in the United States and territories at the 0.05 level of significance.
Get Answers For Free
Most questions answered within 1 hours.