When taking a certain drug 8.5% experience nausea as a side effect.

Question

A scientist took a random sample of 1102 individuals who were taking the drug and recorded the sample proportion who experienced nausea as a side effect,  ˆp. 

Assume the sampling distribution satisfies criteria and is approximately normal. Round to 4 decimal places. In your calculations use your standard error rounded to 3 decimal places. 

a) Find the probability that the sample proportion of patients who experience a nausea side-effect at least 0.08.

Find P(ˆp≥0.08)=

b) Find the probability that the sample proportion of patients who experience a nausea side-effect is less than 0.07.

Find P(ˆp<0.07)=

Answer 1

The sampling distribution of ^p can be treated as a normal distribution with a µ = p (0.085 in this question) and a σ=sqrt(p(1-p)/n)=

sqrt(0.085(1-0.085)/1102=

0.0084.

These σ and μ values you can now use on your (graphing) calculator to find your answers. If you don't have a graphing calculator you need to find z score and use tables. Let me know if you need help with that.

Good luck!