Question to test your Two Proportions knowledge

Question

In a recent survey of adults aged 3030 to 4545, participants were asked if they regularly consume energy drinks. Out of 850850 men, 3838 percent responded yes. Out of 920920 women, 2525 percent responded yes.a. Pose a key question relevant to this data.b. Identify an appropriate statistical procedure or tool to address the question.c. Analyze the data and state a conclusion.

Accepted Answer

a. Is there a significant difference between the proportion of men and women aged $30$ to $45$ who regularly consume energy drinks?

b. Use a one-sample $z$ -test to compare the proportions of men and women who regularly consume energy drinks.

c. A $z$ -score of $5.90$ is very large, and the corresponding $p$ -value is effectively $0.05$ (far smaller than any standard significance level like $0.05$ ). There is strong statistical evidence that a significantly higher proportion of men aged $30$ to $45$ regularly consume energy drinks compared to women in the same age group.

Answer

a. Is there a significant difference between the proportion of men and women aged $30$ to $45$ who regularly consume energy drinks?

b. Use a one-sample $z$ -test to compare the proportions of men and women who regularly consume energy drinks.

c. A $z$ -score of $5.90$ is very large, and the corresponding $p$ -value is effectively $0.05$ (far smaller than any standard significance level like $0.05$ ). There is strong statistical evidence that a significantly higher proportion of men aged $30$ to $45$ regularly consume energy drinks compared to women in the same age group.

Answer

a. Is there a significant difference between the proportion of men and women aged $30$ to $45$ who regularly consume energy drinks?

b. Use a two-proportion $z$ -test to compare the proportions of men and women who regularly consume energy drinks.

c. A $z$ -score of $5.90$ is very large, and the corresponding $p$ -value is effectively $0.05$ (far smaller than any standard significance level like $0.05$ ). There is strong statistical evidence that the majority of adults aged $30$ to $45$ avoid energy drinks.

Answer

a. Is there a significant difference between the proportion of men and women aged $30$ to $45$ who regularly consume energy drinks?

b. Use a two-proportion $z$ -test to compare the proportions of men and women who regularly consume energy drinks.

c. A $z$ -score of $5.90$ is very large, and the corresponding $p$ -value is effectively $0.05$ (far smaller than any standard significance level like $0.05$ ). There is no evidence of a difference between men and women in energy drink consumption.

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