Question

Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim

In a study of 420,089 cell phone users, 120 subjects developed cancer of the brain or nervaus system. Test the claim af a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340%% 1 yalue, conclusipn about the null hypathesis, and final conclusion that addresses the original claim, Use the P-value method and the normal distribution rpeople who do not use cell phones. Because this issue has such great importance, use a 0.001 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, san approximation to the binomial distribution Which of the following is the hypothesis test to be conducted? O A. He D=0.00034 O B. H p#0.00034 H p 000034 Hp>0.00034 O D. H p0.00034 H p0.00034 O C. H p<0.00034 H p 0.00034 OF H p 0.00034 Hp 0.00034 O E. H p0.00034 Hi p 0.00034

Answer 1

Answer)

Ho : p = 0.00034

Ha : p is not equal to 0.00034

N = sample size = 420089

p = 120/420089

First we need to check the conditions of normality

That is if n*p and n*(1-p) both are greater than 5 or not

N*p = 120 and n*(1-p) = 419969

As both the conditons are met

We can use standard normal z table to conduct the test

Test statistics z = (observed p - claimed p)/standard error

Standard error = √{claimed p*(1-claimed p)}/√n

Claimed p = 0.00034

Observed p = 120/420089

N = 420089

Test statistics z = -1.91

From z table, p(z<-1.91) = 0.0281

But our test is two tailed

So, p-value is = 2*0.0281 = 0.0562

As the obtained p-value is greater than the given significance level (0.001) we fail to reject the Ho

So, we do not have enough evidence to support the claim