A survey of 2237 adults ages 18 and over asked which sport is their favorite. The results are shown in the figure. What is the p
robability that an adult chosen at random prefers auto racing? Round you answer to the nearest whole percent.
1 answer:
This question is incomplete because it lacks the appropriate figure. Find attached to this answer the diagram of the figure.
Answer:
8%
Step-by-step explanation:
The formula for Probability =
Numbers of possible outcomes ÷ Number of events.
From the diagram, Number of Possible outcomes is given as = Number of Adults that prefer auto racing = 179 adults
Number of events is obtained from the questions as the Number of Adults = 2237 adults
Probability that an adult chosen at random prefers auto racing = 179 adults /2237 adults
= 0.0800178811
Rounding my answer to the nearest whole percent, the probability that an adult chosen at random prefers auto racing
= 0.0800178811 × 100
= 8%
You might be interested in
Answer:
Is plausible that the successive throws are independent
Step-by-step explanation:
1) Table with info given
The observed values are given by the following table
__________________________________________________
First shot Made Second shot missed Total
__________________________________________________
Made 152 33 185
Missed 37 8 45
__________________________________________________
Total 189 41 230
2) Calculations and test
We are interested on check independence and for this we need to conduct a chi square test, the next step would be find the expected value:
Null hypothesis: Independence between two successive free throws
Alternative hypothesis: No Independence between two successive free throws
_____________________________________________________
First shot Made Second shot missed
_____________________________________________________
Made 189(185)/230=152.0217 41(185)/230=32.9783
Missed 189(45)/230=36.9783 41(45)/230=8.0217
_____________________________________________________
On this case all the expected values are higher than 5 and the sample size 230 is enough to apply the chi squared test.
3) Calculate the chi square statistic
The statistic for this case is given by:
Where O represent the observed values and E the expected values. Replacing the values that we got we have this
Now with the calculated value we can find the degrees of freedom
on this case r means the number of rows and c the number of columns.
Now we can calculate the p value
On this case the pvalue is a very large value and that indicates that we can fail to reject the null hypothesis of independence. So is plausible that the successive throws are independent.