In a survey of 2933 adults in a nation, a poll asked people whether they smoked cigarettes and whether they always wear a seat belt in a car. The table available below shows the results of the survey. For each activity, we define a success finding an individual who participates in the hazardous activity. Complete parts (a) and (b) below. E Click the icon to view the survey results. (a) Why is this a dependent sample? A. This is a dependent sample because the two variables are measured on the same individual. O B. This is a dependent sample because the two responses for each question are mutually exclusive. O C. This is a dependent sample because the two variables are not mutually exclusive. O D. This is a dependent sample because the values in the table depend on the responses to the question. there a significant difference between the proportion of individuals who engage i (b) Is there a significant difference in the proportion of individuals who smoke and the proportion of individuals who do not wear hazardous activities? Use the a= 0.05 level of significance. seat belt? In other words, Let p, represent the proportion who smoke and p2 represent the proportion who do not wear seat belt. What are the null and alternative hypotheses? O A. Ho: P1 =P2 H: P1 P2 Contingency Table of the Survey Results c. Họ: P1 =P2 H: P1 P2 No Seat Belt (success) Seat Belt (failure) Calculate the test statistic. Smoke (success) Do Not Smoke (failure) 63 352 X6 = (Round to two decimal places as needed.) 322 2196

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.