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In a study of 420,079 cell phone users, 102 subjects developed cancer of the bra

ID: 3364345 • Letter: I

Question

In a study of 420,079 cell phone users, 102 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cel phone users elop cancer of the brain or nervous system at a rate hat is different from the rate o 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.001 s gnificance level. Identify the null hypoth alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the oniginal claim.Use the P-value method and the normal distribution as an approximation to the binomial distribution Which of the following is the hypothesis test to be conducted'? A. Ho:p>0.00034 Hap-0.00034 C. HOP-0.00034 H1 : p 0.00034 OE. HOP= 0.00034 O B. Ho:p#0.00034 H1: p-0.00034 D- Mg: p0.00034

Explanation / Answer

Solution:-

=> option C.

=> P = x/n = 102/420079 = 0.00024
  
Z = (0.00024 - 0.00034)/sqrt((0.00034 * (1 -0.00034))/420079)
= -3.5156
|Z| = 3.52

=> p -value = 2(0.0002) = 0.0004

= > option B.

=> option A.