In the following two questions, identify which choices would be considered inferential statistics.

1. of 500 randomly selected people in new york city, 210 people had O+ blood.
a) "42 percent of the people in NYC have O+ blood" Is the statement descriptive statistics or inferential statistics?

b) "58 percent of the people in NYC do not have type O+ blood" Is the statement descriptive statistics or inferential statistics?

c) "42 percent of all people living in NY state have type O+ blood" Is the statement descriptive statistics or inferential statistics?

2. On the last three Friday evening, City hospital diagnosed a number of heroin overdoses. There were four on 1/14/20xx, two on 1/21/20xx, and six on 1/28/20xx.

a) "City Hospital averaged four herion overdoses in their ER for the last three Firday evenings"

b) "City Hospital never has more than six herion overdoses on Friday evenings"

c) "Friday nights are the busiest time for herion overdoses at City Hospital"

When you have specific data, it is descriptive. When you go outside the actual data, it is inferential.

1. a, b and c infer.

2. a describes, b and c infer.

descriptive

1. Inference statistics:

a) This statement is descriptive statistics because it is directly reporting the percentage of people in NYC who have O+ blood based on the given sample.

b) This statement is inferential statistics because it is making an inference about the percentage of people in NYC who do not have type O+ blood based on the given sample.

c) This statement is inferential statistics because it is making an inference about the percentage of all people living in NY state who have type O+ blood based on the given sample.

2. Descriptive statistics:

a) This statement is descriptive statistics because it is calculating the average number of heroin overdoses in the ER of City Hospital for the last three Friday evenings based on the given data.

b) This statement is descriptive statistics because it is stating a maximum limit of six heroin overdoses on Friday evenings based on the given data.

c) This statement is descriptive statistics because it is stating that Friday nights are the busiest time for heroin overdoses at City Hospital based on the given data.

To identify which choices would be considered inferential statistics, let's first understand the difference between descriptive statistics and inferential statistics.

Descriptive statistics involves summarizing and analyzing data to describe or summarize a specific group or population. It aims to provide a clear picture of what the data show, such as calculating frequencies, measures of central tendency, or measures of variability.

In contrast, inferential statistics involves making inferences or generalizations about a population based on a sample of data. It uses probability theory to make educated guesses or predictions about the larger population from which the sample was drawn.

Now let's examine the given statements:

1. a) "42 percent of the people in NYC have O+ blood"
Since this statement is based on a sample of 500 randomly selected people in NYC and is making a generalization about the entire population of NYC, it is an example of inferential statistics.

b) "58 percent of the people in NYC do not have type O+ blood"
This statement is also making a generalization about the entire population of NYC based on the sample of 500 randomly selected people. Therefore, it is an example of inferential statistics.

c) "42 percent of all people living in NY state have type O+ blood"
This statement goes beyond the given sample and makes an inference about the entire population of New York state. Therefore, it is an example of inferential statistics.

2. a) "City Hospital averaged four heroin overdoses in their ER for the last three Friday evenings"
This statement is descriptive statistics since it is based on the specific data from the last three Friday evenings at City Hospital. It simply provides an average count of heroin overdoses during that period.

b) "City Hospital never has more than six heroin overdoses on Friday evenings"
This statement is descriptive statistics because it is based on the specific data observed at City Hospital. It provides a specific limit to the maximum number of heroin overdoses on Friday evenings.

c) "Friday nights are the busiest time for heroin overdoses at City Hospital"
This statement is descriptive statistics as it is based on the specific data observed at City Hospital. It describes a pattern but does not make any generalizations beyond the observed data.

In summary:

Inferential statistics:
a) "42 percent of the people in NYC have O+ blood"
b) "58 percent of the people in NYC do not have type O+ blood"
c) "42 percent of all people living in NY state have type O+ blood"

Descriptive statistics:
a) "City Hospital averaged four heroin overdoses in their ER for the last three Friday evenings"
b) "City Hospital never has more than six heroin overdoses on Friday evenings"
c) "Friday nights are the busiest time for heroin overdoses at City Hospital"