ST 201 Week 10 Pre - Recitation Activity: Review and z procedures for proportion

Question

ST 201 Week 10 Pre - Recitation Activity: Review and z procedures for proportions Due Start of Recitation Worth 15 Points Overview Hypothesis testing is the most widely used method for statistical inference. One of the more challenging things in statistical inference is to identify what type of procedure to use based on our question of interest and our data In this activity you will practice identifying which type of procedure to use for given scenarios and practice performing a z test and confidence interval for proportions Objectives Identify when to use a one sample z test for a mean, one sample z test for a proportion, a one sample t test and a matched pairs t test. Perform the formal steps for a one proportion z procedure Calculate the z test statistic and confidence interval for a proportion. Define when we reject and fail to reject the null hypothesis. Practice making conclusions based on p-values and significance levels. Instructions and Grading Complete all parts of the activity. Turn activity in at the beginning of recitation for grading worth 15 points.

Explanation / Answer

Question 1:

1) Here parameter of interest is : Mean weight of ice creams cone

Parameter is quantitative.

Here we have single sample and test is about populaiton mean. Since population standard deviation is unknown so single sample t test will be used.

2)

Here parameter of interest is : Proprotion of fatally injured drivers who are intoxicated

Parameter is qualitative.

Here we have single sample and test is about population proportion. So single sample z test for proportion will be used.

3)

Here parameter of interest is : True average difference into blood pressure before and after class

Parameter is quantitative.

Here we have single sample and test is about population proportion. Here we have paired observations ccorresponding to each client that is sampled. So paired sample t test will be used.

4)

Here parameter of interest is : Average amount of Tar

Parameter is quantitative.

Here we have single sample and test is about population proportion. Population standard deviation is known so single sample z test will be used.

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