I have a Statistics final project and my partner and I feel stuck. We collected

Question

I have a Statistics final project and my partner and I feel stuck. We collected the data, now we just need guidance on how to start arranging our presentation. We took data at our college to see how many white cars entered the parking lot as opposed to other colors. So we have categorical data, but what hypothesis test will we need? We will use a bar graph and pie chart to represent data. We each counted 25 cars twice, for a total of 100 cars to enter the parking lot. 4/25, 5/25, 8/25 and 9/25 were white cars. Our objective: "The project requires you to synthesize all the material from the course. Hence, it's one of the best ways to solidify your understanding of statistical methods." We dare supposed to emonstrate this by a written report and a powerpoint presentation.

Here's the rubric:

Any help would be greatly appreciated. Thanks!

L 5 Names of all the group members 5 State your research question 5 State the name of the used hypothesis test One to two paragraphs discussing whether or not your data meets or fails to meet the requirements for your hypothesis test. Include QQ plots if needed 10 State the null and altemative hypothesis in both words and symbols 5 State the alpha level 5 Give the Test Statistic and its value 5 State the p-value 10 State whether the null hypothesis should be rejected or failed to be rejected 10 State your conclusions in tems of the altermative hypothesis 30 Take Action One to two paragraphs describing the action you suggest should be taken based on the results of your study 30 Relevant graphs and/or statistics, including displays from technology Reasons why the results might not be correct, along with a 25 description of ways in which the study could be improved. (May use a convenience sample as long as you explain how your sampling method is flawed and how it could have been improved with sufficient resources of time, money, and effort.) Total 150

Explanation / Answer

The research question could be to check if the proportion of white cars is equal to some fraction, say 0.2. Here we assume historically that the proportion of white cars is 0.2 and we need to check this for the sample.

Null hypothesis : H0 : p =0.2

Ha : p not equal to 0.2

the alpha level generally taken is 5%.

The test statistic is a proportion based one and hence the mean and standard deviation of the proportion is calculated from the data. Mean p = average of proportions.

Std p = sqrt((mean_p*(1-mean_p)/n), n = number of observations

So, the test statistic and the p value can be calculated and conclusion can be drawn based on null or alternate hypothesis rejection.

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