Question
Multilingual at home ~ According to recent data from the US Census, 21.6% of people living in the US speak a language other than English
Multilingual at home ~ According to recent data from the US Census, 21.6% of people living in the US speak a language other than English while at home.Martina is a social scientist at a large public university in Florida. She wonders if the percentage is higher in her state. She collects a random sample of 680 people in Florida and finds that 172 of them speak a language other than English while at home.Round all calculated values in this problem to 4 decimal places.1. Martina wants to conduct a hypothesis test for her research question. Which test is most appropriate for this scenario?A. 22 test of independence B. Two sample randomization test for the difference in population proportions C. 22 goodness of fit test D. One sample Z-test for a population proportion2. Which of the following conditions must be met for the hypothesis test to be valid? Check all that apply. A. The sample size must be larger than 30 or the population data must be normally distributed B. np^10np^10 and n(1p^)10n(1p^)10 C. The null standard error must be at least 5. D. Each observation must be independent of the other observations in the data set. E. np010np010 and n(1p0)10n(1p0)10 3. Select the null and alternative hypotheses Martina should use to answer her research question.A. H0:p=0.216H0:p=0.216, HA:p^>0.2529HA:p^>0.2529 B. H0:p=0.216H0:p=0.216, HA:p>0.216HA:p>0.216 C. H0:p=0.216H0:p=0.216, HA:p0.216HA:p0.216 D. H0:p=0.216H0:p=0.216, HA:p<0.216HA:p<0.2164. Calculate the test statistic. ? z t X^2 = 5. Calculate the p value.p-value = 6. Alex conducts similar research at a university in California and conducts a similar hypothesis test using a sample of residents in California. The results of this hypothesis test give a p-value of 0.0626.Alex has ? Little Some Strong Very Strong Extremely Strong evidence that the null model is not a good fit for the observed data.
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