A number of Michiganders have been getting their Covid vaccines in Ohio. Let us investigate if the vaccine doses in four Midwest states (Michigan and three bordering states) are distributed according to population size.

The table below shows the location of vaccines administered from a random sample of vaccine doses and the population distribution for these four Midwest states.

Using the information in the table, we wish to assess whether, for four Midwest states, the distribution of administered vaccine doses matches the distribution of the population. The significance level has been selected to be 5%.

1. B) You have been told that we have a random sample. State and check the remaining necessary condition(s). Are the conditions met? Show all work.
2. Perform the appropriate test. Provide and clearly identify the test statistic value, the corresponding distribution and the corresponding p-value. Include all supporting computations and work.
3. Evaluate the p-value and provide a conclusion in context.

Please provide a well organized answer that clearly uses labels for your Steps 2, 3, and 4.

Michigan Ohio Illinois Indiana Total Administered vaccines 136 166 139 84 525 Population distribution for the four 24% 29% 31% 16% 100% Midwest statesAs your first step, identify the appropriate null hypothesis for the test from among the options below. O Ho : /Michigan = 0.24, HOhio = 0.29, Illinois = 0.31, AIndiana = 0.16 O Ho : PMichigan = 0.24, pohio = 0.29, PIllinois = 0.31, PIndiana = 0.16 O Ho : PMichigan = 0.24, Pohio = 0.29, PIllinois = 0.31, PIndiana = 0.16 O Ho : Michigan = 0.24, Ohio = 0.29, Illinois = 0.31, Indiana = 0.16