Question

ut of question A scientist is investigating whether a chemical may effect the survival rate of an organism. Under the control conditions (no chemical), the organism has a survival rate of p_0=0.4125 This value is known precisely because the organism has been grown under control conditions many many times. The scientist has only grown the organism under experimental conditions (with chemical) n=80 times. In that sample, the survival rate is What{p) = 0.2875. The scientist wonders if this survival rate is significantly different from p_0. To do this, the scientist will determine the p-value. The p-value represents the probability of getting a sample proportion as far (or farther) from p_0 due to chance alone. p\text{-value) - P\left(\big|Z\bigl > \frac{\bigl\hat(p)-p_0\bigl}{\sqrt{\frac{p_0(1-p_O)n}}} \right) it is common to compare the p-value to 0.05. . If p\text{-value) < 0.05 then "significant • If p\text{-value) \ge 0.05 then "not significant" a. Determine the p-value.

Answer 1

Solution

a)

P-value = 0.0231

Decision : since p-value < 0.05 we reject null hypothesis.

b)

P-value =0.0632

Decision :since p-value > 0.05 we accept the null hypothesis and it is Not significant