Use the following information for questions:
A candy factory makes 20% (p = 0.20) of all its candies with chocolate liquor. A random sample of n =100 candies is taken, and $\hat{p}$ = proportion of candies in the sample made with chocolate liquor is calculated.
-What is the z-score for $\hat{p}$ = 0.35?
A) -2.50
B) -1.50
C) 1.25
D) 3.75

Question

Use the following information for questions:
 A candy factory makes 20% (p = 0.20) of all its candies with chocolate liquor. A random sample of n =100 candies is taken, and $\hat{p}$ = proportion of candies in the sample made with chocolate liquor is calculated.
-What is the z-score for $\hat{p}$ = 0.35?
A) -2.50
B) -1.50
C) 1.25
D) 3.75

Quizplus · Accepted Answer

The z-score is calculated using the formula $z = \frac{\hat{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$, where $\hat{p} = 0.35$, $p = 0.20$, and $n = 100$. Plugging these values into the formula gives $z = \frac{0.35 - 0.20}{\sqrt{\frac{0.20(0.80)}{100}}} = \frac{0.15}{\sqrt{0.0016}} = \frac{0.15}{0.04} = 3.75$.

Use the Following Information for Questions: a Candy Factory p^\hat{p}p^​

Use the Following Information for Questions:
a Candy Factory $\hat{p}$