Use the following information for questions:
A hypothesis test for a population proportion p is given below:
H 0 : p = 0.10
H a : p ≠ 0.10
For each sample size n and sample proportion $\hat{p}$ compute the value of the z-statistic.
-Sample size n = 500 and sample proportion $\hat{p}$ = 0.20. z-statistic = ?
A) -7.45
B) -5.59
C) 5.59
D) 7.45

Question

Use the following information for questions:
 A hypothesis test for a population proportion p is given below:
H 0 : p = 0.10
H a : p ≠ 0.10
For each sample size n and sample proportion $\hat{p}$ compute the value of the z-statistic.
-Sample size n = 500 and sample proportion $\hat{p}$ = 0.20. z-statistic = ?
A) -7.45
B) -5.59
C) 5.59
D) 7.45

Quizplus · Accepted Answer

The z-statistic is calculated as (p̂ - p) / sqrt(p(1-p)/n), where p̂ is the sample proportion, p is the hypothesized proportion, and n is the sample size. Plugging in the given values, we get (0.20 - 0.10) / sqrt(0.10(1-0.10)/500) = 7.45.

Use the Following Information for Questions: a Hypothesis Test p^\hat{p}p^​

Use the Following Information for Questions:
a Hypothesis Test $\hat{p}$