1. (10 points) Assume a random survey of 800 Texas residents indicated 27.?% of the respondents had been fully vaccinated for covid19. The percentage of residents in the US who have been fully vaccinated is 31.6% as of May 2, 2021. Conduct a statistical test to ascertain if the proportion of fully vaccinated Texas residents differs from the proportion of all US residents who are fully vaccinated. Specify the research and the null hypotheses. What critical table value do you initially need to reject the null hypothesis at the .05 level? What is the value of your calculated test statistic? If you reject the null hypothesis, what is the probability of making a Type I error? What do you conclude about the percentage of vaccinated residents in Texas and the US as a whole? Calculate a 95% confidence for the true percentage of Texas residents who are illy vaccinated against covid19