Question

In a study of 420,037 cell phone users, 161 subjects developed brain cancer. Test the claim that cell phone users develop brain cancer at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005 significance level. Use this information to answer the following questions. a. Which of the following is the hypothesis test to be conducted? O A. Ho:p> 0.00034 OB. Ho: p<0.00034 Hy: P = 0.00034 H:p=0.00034 C. Ho: p = 0.00034 OD. Ho: p = 0.00034 H:p> 0.00034 Hip < 0.00034 E. Ho: p=0.00034 OF. Ho: p = 0.00034 H: p = 0.00034 He: p=0.00034

Answer 1

We have to test whether the proportion is different from 0.00034 or not. So, it is a two tailed test

(a)

$H_1: p \ne 0.00034$

Using TI 84 calculator

Press STAT then TESTS and select 1-PropZtest

po = 0.00034

x = 161

n = 420037

prop $\ne$ po

Calculate

We get z = 1.52 with p value = 0.1285

(b) test statistic z = 1.52 (using TI-84 result)

(c) p value = 0.1285   (using TI-84 result)

(d) We can see that the p value is greater than significance level, i.e. 0.1285 > 0.05

So, we failed to reject null hypothesis Ho

Option B is correct

(e) Since the proportion is not significantly different from 0.034%, we can say that there is no evidence to conclude that cell phone users develop brain cancer at a rate different than 0.034%

So, option A is correct