Step 1
D option is right.
\(\frac{2}{100}\)
Step 2
D option = 0.02

Question

asked 2021-02-08

This two-way table shows the results of asking students if they prefer to have gym class in the morning or the afternoon A.How many students participate in the survey B. How many students in grade 8 prefer to have gym in the morning C. How many grade 10 students participated in the survey D. How many students prefer To have gym in the afternoon

\(\begin{array}{|c|c|c|}\hline&\text{morning}&\text{afternoon}&\text{total}\\\hline\text{grade 6} &15 & 8 & 23\\ \hline\text{grade 8}& 18 & 21&39\\\hline\text{grade 10}& 12 & 26&38\\ \hline \text{total}&45&55&100 \\ \hline \end{array}\)

\(\begin{array}{|c|c|c|}\hline&\text{morning}&\text{afternoon}&\text{total}\\\hline\text{grade 6} &15 & 8 & 23\\ \hline\text{grade 8}& 18 & 21&39\\\hline\text{grade 10}& 12 & 26&38\\ \hline \text{total}&45&55&100 \\ \hline \end{array}\)

asked 2020-11-26

A random sample of 2,500 people was selected, and the people were asked to give their favorite season. Their responses, along with their age group, are summarized in the two-way table below.

\(\begin{array}{c|cccc|c} & \text {Winter} &\text{Spring}& \text {Summer } & \text {Fall}& \text {Total}\\ \hline \text {Children} & 30 & 0 & 170&0&200 \\ \text{Teens} & 150 & 75 & 250&25&500 \\ \text {Adults } & 250 & 250 & 250&250&1000 \\ \text {Seniors} & 300 & 150 & 50&300&800 \\ \hline \text {Total} & 730 & 475 & 720 &575&2500 \end{array}\)

Among those whose favorite season is spring, what proportion are adults?

\(a) \frac{250}{1000}\)

\(b) \frac{250}{2500}\)

\(c) \frac{475}{2500}\)

\(d) \frac{250}{475}\)

\(e) \frac{225}{475}\)

\(\begin{array}{c|cccc|c} & \text {Winter} &\text{Spring}& \text {Summer } & \text {Fall}& \text {Total}\\ \hline \text {Children} & 30 & 0 & 170&0&200 \\ \text{Teens} & 150 & 75 & 250&25&500 \\ \text {Adults } & 250 & 250 & 250&250&1000 \\ \text {Seniors} & 300 & 150 & 50&300&800 \\ \hline \text {Total} & 730 & 475 & 720 &575&2500 \end{array}\)

Among those whose favorite season is spring, what proportion are adults?

\(a) \frac{250}{1000}\)

\(b) \frac{250}{2500}\)

\(c) \frac{475}{2500}\)

\(d) \frac{250}{475}\)

\(e) \frac{225}{475}\)

asked 2021-01-31

Use the two-way table below to answer the following question. Round the answer to the nearest whole percent. There are 300 seniors at Bellmere Senior High School who are enrolled in elective science classes as shown below.

\(\begin{array}{c|cc|c} &\text{Physics}&\text{Chemistry}&\text{Total}\\ \hline \text{Males}&100&68&168\\ \text{Females}&71&61&132\\ \hline \text{Total}&171&129&300 \end{array}\\)

What is the probability that a senior student chosen at random is enrolled in physics given that student is female?

\(\begin{array}{c|cc|c} &\text{Physics}&\text{Chemistry}&\text{Total}\\ \hline \text{Males}&100&68&168\\ \text{Females}&71&61&132\\ \hline \text{Total}&171&129&300 \end{array}\\)

What is the probability that a senior student chosen at random is enrolled in physics given that student is female?

asked 2020-12-14

Find the expected count and the contribution to the chi-square statistic for the (Group 1, Yes) cell in the two-way table below.

\(\begin{array}{|c|c|c|}\hline&\text{Yes}&\text{No}&\text{Total}\\\hline\text{Group 1} &710 & 277 & 987\\ \hline\text{Group 2}& 1175 & 323&1498\\\hline \ \text{Total}&1885&600&2485 \\ \hline \end{array}\)

Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.

Expected count=?

contribution to the chi-square statistic=?

\(\begin{array}{|c|c|c|}\hline&\text{Yes}&\text{No}&\text{Total}\\\hline\text{Group 1} &710 & 277 & 987\\ \hline\text{Group 2}& 1175 & 323&1498\\\hline \ \text{Total}&1885&600&2485 \\ \hline \end{array}\)

Round your answer for the excepted count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.

Expected count=?

contribution to the chi-square statistic=?

asked 2021-02-13

Men and women were surveyed regarding their favorite leisure sport, as shown below. All questions pertain to this two-way frequency table.

\(\begin{array}{|c|c|c|}\hline\text{Leisure Sport}&\text{Golf}&\text{Tennis}&\text{Skiing}&\text{Total}\\\hline\text{Men} &32 & 21 & 30&83\\ \hline\text{Women}& 35 & 30&26&91\\\hline \ \text{Total}&67&51&56&174 \\ \hline \end{array}\)

\(\text{Find P(men)} \cdot \text{P(skiing)}.\)

(Choose a numbered choice from the list below.)

\(1) \frac{83}{174}\)

\(2) \frac{56}{174}4\)

\(3) \frac{4648}{174}\)

\(4) \frac{4648}{174^2}\)

\(\begin{array}{|c|c|c|}\hline\text{Leisure Sport}&\text{Golf}&\text{Tennis}&\text{Skiing}&\text{Total}\\\hline\text{Men} &32 & 21 & 30&83\\ \hline\text{Women}& 35 & 30&26&91\\\hline \ \text{Total}&67&51&56&174 \\ \hline \end{array}\)

\(\text{Find P(men)} \cdot \text{P(skiing)}.\)

(Choose a numbered choice from the list below.)

\(1) \frac{83}{174}\)

\(2) \frac{56}{174}4\)

\(3) \frac{4648}{174}\)

\(4) \frac{4648}{174^2}\)

asked 2020-11-09

A survey of 120 students about which sport , baseball , basketball , football ,hockey , or other , they prefer to watch on TV yielded the following two-way frequency table . What is the conditional relative frequency that a student prefers to watch baseball , given that the student is a girl? Round the answer to two decimal places as needed

\(\begin{array}{|c|c|c|}\hline &\text{Baseball}&\text{Basketball}&\text{Football}&\text{Hockey}&\text{Other}&\text{Total}\\\hline \text{Boys} &18&14&20&6&2&60\\ \hline \text{Girls}&14&16&13&5&12&60\\ \hline \text{Total}&32&30&33&11&14&120\\ \hline \end{array}\\\)

a) 11.67%

b) 23.33%

c) 43.75%

d) 53.33%

\(\begin{array}{|c|c|c|}\hline &\text{Baseball}&\text{Basketball}&\text{Football}&\text{Hockey}&\text{Other}&\text{Total}\\\hline \text{Boys} &18&14&20&6&2&60\\ \hline \text{Girls}&14&16&13&5&12&60\\ \hline \text{Total}&32&30&33&11&14&120\\ \hline \end{array}\\\)

a) 11.67%

b) 23.33%

c) 43.75%

d) 53.33%

asked 2020-10-25

\(\begin{array}{|c|c|c|c|}\hline& \text{SUV} & \text{Sedan} & \text{Totals} \\ \hline\text{Male} & 21&39&60\\\hline\text{Female}&&45&180\\\hline\text{Total}&156&84&\\\hline\end{array}\)
The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV
a)0.25
b)0.55
c)0.75
d)0.87

asked 2020-10-26

Is there a relationship between gender and relative finger length? To find out, we randomly selected 452 U.S. high school students who completed a survey. The two-way table summarizes the relationship between gender and which finger was longer on the left hand (index finger or ring finger).

\(\begin{array} {lc} & \text{Gender} \ \text {Longer finger} & \begin{array}{l|c|r|r} & \text { Female } & \text { Male } & \text { Total } \\\hline \text { Index finger } & 78 & 45 & 123 \\\hline \text{ Ring finger } & 82 & 152 & 234 \\ \hline \text { Same length } & 52 & 43 & 95 \\ \hline \text { Total } & 212 & 240 & 452 \end{array}\ \end{array}\)

Suppose we randomly select one of the survey respondents. Define events R: ring finger longer and F: female. Given that the chosen student does not have a longer ring finger, what's the probability that this person is male? Write your answer as a probability statement using correct symbols for the events.

\(\begin{array} {lc} & \text{Gender} \ \text {Longer finger} & \begin{array}{l|c|r|r} & \text { Female } & \text { Male } & \text { Total } \\\hline \text { Index finger } & 78 & 45 & 123 \\\hline \text{ Ring finger } & 82 & 152 & 234 \\ \hline \text { Same length } & 52 & 43 & 95 \\ \hline \text { Total } & 212 & 240 & 452 \end{array}\ \end{array}\)

Suppose we randomly select one of the survey respondents. Define events R: ring finger longer and F: female. Given that the chosen student does not have a longer ring finger, what's the probability that this person is male? Write your answer as a probability statement using correct symbols for the events.

asked 2021-01-06

The following table gives a two-way classification of all basketball players at a state university who began their college careers between 2004 and 2008, based on gender and whether or not they graduated.

\(\begin{array}{|c|c|c|}\hline &\text{Graduated}&\text{Did not Graduate}\\\hline \text{Male} &129&51\\ \hline \text{Female}&134&36 \\ \hline \end{array}\\\)

If one of these players is selected at random, find the following probability.

Round your answer to four decimal places.

\(P(\text{graduated or male})=\) Enter your answer in accordance to the question statement

\(\begin{array}{|c|c|c|}\hline &\text{Graduated}&\text{Did not Graduate}\\\hline \text{Male} &129&51\\ \hline \text{Female}&134&36 \\ \hline \end{array}\\\)

If one of these players is selected at random, find the following probability.

Round your answer to four decimal places.

\(P(\text{graduated or male})=\) Enter your answer in accordance to the question statement

asked 2020-10-26

In this exercise , a two-way table is shown for two groups , 1 and 2 , and two possible outcomes , A nad B
\(\begin{array}{|c|c|c|}\hline &\text{Outcome A}&\text{Outcome B}&\text{Total}\\\hline \text{Group 1} &30&20&50\\ \hline \text{Group 2}&40&110&150\\ \hline \text{Total}&70&130&200\\ \hline \end{array}\\\)

a) What proportion of all cases had Outcome A?

b) What proportion of all cases are in Group 1?

c) What proportion of cases in group 1 had Outcome B?

d) What proportion of cases who had Outcome A were in group 2?

a) What proportion of all cases had Outcome A?

b) What proportion of all cases are in Group 1?

c) What proportion of cases in group 1 had Outcome B?

d) What proportion of cases who had Outcome A were in group 2?