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Construct null and alternative hypotheses

Objective:

Students will construct null and alternative hypotheses for mean and proportion.

Step 1.

Review Sample Post.

Step 2.

Pick one quantitative and one qualitative question from your survey from the Project.

Step 3.

Research your two questions to find your null values. Make sure you cite the sources used. If you cannot find null values, you can estimate these values. Please state that these are estimates in your post. Your estimations should be reasonable and not equal to your sample statistics.

Step 4.

For the quantitative question, formulate a null and alterative hypotheses using the mean (chapter 10). Make sure to state what your claim is; this will be based on the comparison of the null value and your sample mean. Make sure your claim (H1) does not contradict the comparison of these values. Include your sample mean found in the project. This should NOT be the value in your hypothesis test.

Step 5.

For the qualitative question, formulate a null and alternative hypotheses using a proportion. You will need to pick one category from your question and formulate your hypotheses about that category. Make sure to state what your claim is; this will be based on the comparison of the null value and your sample proportion. Make sure your claim (H1) does not contradict the comparison of these values. Include your sample proportion found in the project. This should NOT be the value in your hypothesis test.

Step 6.

Write your post in the discussion area. The title of your post should be the theme of your survey. Your post must include the following:

A brief summary of what your survey was about (2 points).
Your quantitative question and the null and alternative hypotheses for mean. (4 points)
Your qualitative question and the null and alternative hypotheses for proportion. (4 points)

Rubric –

10 points total

Sample Post –

Note: For the purpose of this activity, I am using the “Sample Project “A” Grade” found in Project under Unit 2 in Content. You will need to use questions from your Project.

The survey conducted was on Fourteeners in Colorado. Two of the questions were: “How many fatalities have there been while climbing you?” (Quantitative) and “What is the most common cause of death while climbing you?” (Qualitative).

For the first question, “How many fatalities have there been while climbing you?” the sample mean was found to be 3.67. It can be hypothesized that the average number of fatalities is less than 5. The null and alternative hypotheses would be:

            Ho:  µ  =  5

            H1:  µ < 5  (claim)

Note: Since our sample mean of 3.67 is LESS than 5, we can test the above claim. We could NOT test the claim that the population mean is GREATER than 5 because 3.67 is NOT greater than 5.

For the second question, “What is the most common cause of death while climbing you?” it can be hypothesized that the proportions of deaths resulting from falls is greater than 0.50. The sample proportion found was 0.67 of deaths resulted from falls. The null and alternative hypotheses would be:

            Ho:  p  =  0.50

            H1:  p > 0.50  (claim)

Note: Since our sample proportion is 0.67 is GREATER than 0.5, we can test the above claim. We could NOT test the claim that the population proportion is LESS than 0.5 because 0.67 is NOT less than 0.5. Make sure you are using proportions and not percent. The category picked is “falls” and the other categories were not included in the wording of the hypotheses.

Here are my survey questions:

Theme: Social Media Users

Qualitative Question 1: What is your gender? Choices: Male, Female, Other.

Qualitative Question 2: What is your ethnicity? Choices: White, Hispanic, Black, Native American, Asian, Other.

Qualitative Question 3: What is the highest level of education you have completed? Choices: No schooling completed, high school diploma, certificate, associate degree, bachelor’s degree, other.

Quantitative Question 1: What is your age?

Quantitative Question 2: How many minutes do you spend on social media a day?
Quantitative Question 3: How many hours do you work a week?

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Unit 4a Activity

A brief summary of the survey

            This survey was conducted on Fourteeners, Colorado and the theme of the survey was to establish the number of fatalities that occurs during climbing and the main cause of these fatalities. The survey used both qualitative and quantitative questions to test both null and alternative hypothesis(Sulivan, 2017). The findings from the survey indicated that a means of 3.67 fatalities occurs during climbing. Further findings indicated that the most common cause of these fatalities is falls. This is clear indication that most of the climbers dies as a result of falls. It is recommended that climbers should extra precautionary measures to protect themselves from falling in order to reduce the number of fatalities.

Quantitative question

            The qualitative question that survey sort to answer was “How many fatalities have been there while you were climbing? This question was the main question that respondents were given to answer. After analysis of the responses, the findings indicated that a means of 3.67 fatalities occurs during climbing. Based on the null and alternative hypothesis which were set at:

Ho: µ= 5

H1: µ< 5

The findings indicated that the mean of fatalities that occurs during climbing is less that 5. This means that null hypothesis was rejected because the population means of the fatalities was 3.67.………………………………………………………………………………………………

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