A former residential complex was found to be a Superfund site polluted with several hazardous materials. Tamela is an investigative journalist who would like to show whether the proportion of the residents of the complex who eventually died from cancer is greater than the regional average of 14%. She randomly selects 54 residents who lived in the complex and finds that 12 of those residents eventually died from cancer. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: Although the proportion follows a binomial model with two independent outcomes and the data are selected at random, the number of successes and the number of failures are not both greater than or equal to 5. Although the proportion follows a binomial model with two independent outcomes and the number of successes and the number of failures are both greater than or equal to 5, the data are not selected at random. Although the data are selected at random and the number of successes and the number of failures are both greater than or equal to 5, the proportion does not follow a binomial model. All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses are {H0:p=0.14Ha:p<0.14. All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses are {H0:p=0.14Ha:p>0.14. All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses are {H0:p=0.14Ha:p≠0.14.
A former residential complex was found to be a Superfund site polluted with several hazardous materials. Tamela is an investigative journalist who would like to show whether the proportion of the residents of the complex who eventually died from cancer is greater than the regional average of 14%. She randomly selects 54 residents who lived in the complex and finds that 12 of those residents eventually died from cancer. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?
Select the correct answer below:
Although the proportion follows a binomial model with two independent outcomes and the data are selected at random, the number of successes and the number of failures are not both greater than or equal to 5.
Although the proportion follows a binomial model with two independent outcomes and the number of successes and the number of failures are both greater than or equal to 5, the data are not selected at random.
Although the data are selected at random and the number of successes and the number of failures are both greater than or equal to 5, the proportion does not follow a binomial model.
All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses are {H0:p=0.14Ha:p<0.14.
All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses are {H0:p=0.14Ha:p>0.14.
All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses are {H0:p=0.14Ha:p≠0.14.
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