Medical tests were conducted to learn about drug-resistant tuberculosis. of 142 cases tested in new jersey, 9 were found to be drug-resistant. of 268 cases tested in texas, 5 were found to be drug-resistant. do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? use

a. 02 level of significance. hint: make sure that you carry 4 decimals for your intermediate workings.

Question

Jaydon Cabrera

Biology

26 February, 13:42

Medical tests were conducted to learn about drug-resistant tuberculosis. of 142 cases tested in new jersey, 9 were found to be drug-resistant. of 268 cases tested in texas, 5 were found to be drug-resistant. do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? use

a. 02 level of significance. hint: make sure that you carry 4 decimals for your intermediate workings.

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Johnny · Answer 1

Phat1 = 9/142

Phat 2 = 5/268

Phat 3 14/410

Test statistics = (Phat 1 - Phat 2) / (Square root of (phat * (1 - phat))

times the square root of (1/n1 + 1/n2))

Test statistics = 2.373

P - value = 2 * (1 - normal cdf (2.373, 0, 1))

= 0.0176

At the level of significance, there is difference between the proportion of drug-resistant wihtin the two states.