Muilingus at home According to recentem rom the US Census 20.9% of people living in the US speak a language other than English wnio a 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 520 people in Florida and finds that 130 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. Two sample randomization test for the difference in population proportions B. x? goodness of fit test OC. One sample Z-test for a population proportion D.x? test of independence 2. Which of the following conditions must be met for the hypothesis test to be valid? Check all that apply A. np > 10 and (1-P) 2 10 B. Each observation must be independent of the other observations in the data set. C.npo 10 and 1-po) 2 10 D. The sample size must be larger than 30 or the population data must be normally distributed E. The null standard error must be at least 5. 3. Select the null and alternative hypotheses Martina should use to answer her research question A. Hp 0.209, HAP# 0.209 B. H: p=0.209,HAD > 0.25 C. Ho : p = 0.209.HA: 0.209 4. Calculate the test statistic 2 5. Calculate the p value. D-value 6. Alex conducts similar research at a university in Texas and conducts a similar hypothesis test using a sample of residents in Texas. The results of this hypothesis tot give a p-value of 0.1552 Alex has Little 4 evidence that the null model is not a good fit for the observed data