From this finding, it can be said that the sample proportion is greater than the population proportion because the test statistic (z = 2.45) is positive.
Step-by-step explanation:
H0: p = 0.35
Ha: p > 0.35
The test is a one-tailed test because the alternate hypothesis is expressed using greater than.
The test statistic (z) for a proportion is given as (p' - p) ÷ sqrt [p(1-p)/n]
p' is sample proportion
p is population proportion
n is sample size
For the test statistic z to be positive, p' must be greater than p.
Since the logarithmic function is the inverse of the exponential function, the domain of the logarithmic function is the range of the exponential function and that works the same both ways.
