Question

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

1. Clearly state a null and alternative hypothesis
2. Give the value of the test statistic
3. Report the P-Value
4. Clearly state your conclusion (Reject the Null or Fail to Reject the Null)
5. Explain what your conclusion means in context of the data

Summary Table for Live births
Mean	6,785
Median	4,462
Standard Deviation	8119
Minimum	519
Maximum	46,661

Answer 1

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

p-value = P(Z > 1.59) = 1 - P(Z < 1.59) = 1 - 0.9441 = 0.0559

=> p-value = 0.0559

Since, p-value = 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.