In a test of independence, your calculated test value is 12.01 and your critical value is 9.488. Which of the following are accurate? Check all that apply. Hint: there should be 4 things checked. these results demonstrate that the frequency distribution of a variable differs across two populations based on these values, you should fail to reject the null the probability of getting the value 12.01 by chance is less than 5% (p .05) these results demonstrate that the frequency distribution of a variable is the same across two populations these results demonstrate that the frequency distribution of a variable is the same across levels of another variable if you interpret the results correctly, you are still at risk of making a Type II error these results demonstrate that the frequency distribution of a variable differs across levels of another variable based on these values, you should reject the nullA U.S.-based travel agency is attempting to optimize their marketing. They collected data on preferred vacation spots out of Los Angeles, New York City, and Las Vegas from two different populations: those living on the east coast and those living on the west coast. NYC LA Vegas East Coast 51 72 56 West Coast 65 41 49 Calculate the chi-squared test value for the data shown. Round your answer to the nearest hundredth.Use your x" value calculated from these data, and look up the appropriate critical value against which you should compare it. NYC LA Vegas East Coast 51 72 56 West Coast 65 41 49 Which of the following is the correct conclusion to reach? Fail to reject the null hypothesis; preferred vacation spots do NOT differ for east and west coast residents, so the company does not need to differentiate their advertising. X O Reject the null hypothesis; preferred vacation spots do NOT differ for east and west coast residents, so the company does not need to differentiate their advertising. O Reject the null hypothesis; preferred vacation spots differ for east and west coast residents, so the company should differentiate their advertising. Fail to reject the null hypothesis; preferred vacation spots differ for east and west coast residents, and the company should differentiate their advertising