125/500 women soda drinkers indicate they drink diet soda. At the .01 level, does this evidence indicate that more than 20% of the women soda drinkers drink diet soda? Determine and explain the P-value please. I have the numbers...just cannot explain. Please help.

Answer 1

Use. Population proportion

Ho: p = 0.2
Ha: p > 0.2

if P-value is greater than significance level
fail to reject Ho:

if P-value is less than significance level
Reject Ho.
z = 2.80
p-value = p ( z > 2.8) = 0.003

Reject the null hypothesis. There is sufficient evidence indicate that more than 20% of the women soda drinkers drink the diet soda.