Question

Homework: 10.2B Interactive Assignment 6% (0.45 points out of 8) Preparing for Section 10.2B Introduction Objective 1 Objective 2 M Objective 2: Test Hypotheses about a Population Proportion Using the Normal Model 10.2B Hypothesis Tests on a Population Proportion Using the Normal Model 10.2B.19-T O of 1 Point Question Help According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.32. Suppose a random sample of 111 traffic fatalities in a certain region results in 47 that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a = 0.1 level of significance? Because npo (1-P) =D 10, the sample size is sample 5% of the population size, and the the requirements for testing the hypothesis satisfied (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer parts

Answer 1

Here,

n = 111

x = 47

p₀ = x/n = 47/111 = 0.423423423

np₀(1-p₀) = 111*0.423423423*(1-0.423423423) = 27.0990991 $\approx$ 27.1 (Round answer to 1 decimal place)

np₀(1-p₀) = 27.1

Because np₀(1-p₀) = 27.1 10. the sample size is greater than 5% of the population size, and the sample

is given to be random, the requirements for testing the hypothesis are satisfied.

Summary :-

Because np₀(1-p₀) = 27.1 10. the sample size is greater than 5% of the population size, and the sample

is given to be random, the requirements for testing the hypothesis are satisfied.