Find the value of the test statistic z using z $z = \frac { \hat { p } - p } { \sqrt { \frac { p q } { n } } }$
-The claim is that the proportion of drowning deaths of children attributable to beaches is more than 0.25, and the sample statistics include n = 575 drowning deaths of children with 30% of them attributable to beaches.
A) 2.62
B) -2.62
C) -2.77
D) 2.77

Question

Quizplus · Accepted Answer

The sample proportion of drowning deaths of children attributable to beaches is 0.3, and the hypothesized proportion is 0.25. The sample size is 575. The test statistic is:$$z = \frac { \hat { p } - p } { \sqrt { \frac { p q } { n } } } = \frac { 0.3 - 0.25 } { \sqrt { \frac { 0.25 * 0.75 } { 575 } } } = 2.77$$The correct answer is D.

Find the Value of the Test Statistic Z Using Z z=p^−ppqnz = \frac { \hat { p } - p } { \sqrt { \frac { p q } { n } } }z=npq​​p^​−p​

Find the Value of the Test Statistic Z Using Z $z = \frac { \hat { p } - p } { \sqrt { \frac { p q } { n } } }$