A fine dining restaurant claims that the group sizes of their customers follows the following distribution: 2 people = 40% 3 people = 15% 4 people = 17% 4+ people = 28% Gustavo, a waiter at the restaurant, would like to test this claim. He takes a sample of 92 customers and records the observed frequencies in the following table: 2 people = 38 3 people = 11 4 people = 17 4+ people = 26 a) In performing this statistical test, state the hypotheses. (b) What is the expected frequencies of each group? Fill out the table. (Round your answers to 2 decimal places, if needed.) 2 people = ? 3 people = ? 4 people = ? 4+ people = ? (c) What is the test statistic value for this hypothesis test? (Round your answers to 2 decimal places, if needed.) TS = (d) The test statistic follows a chi-square distribution or t-distribution with df = ? (e) Using the statistical table, the p-value is ? < p-value < ? (f) Based on the p-value, those conducting the test should fail to reject or reject the null hypothesis at the significance level of 0.025. (g) What is the appropriate conclusion