Question

In: Statistics and Probability

among 3000 college students 13% are over 21 years old what is the probability that out...

among 3000 college students 13% are over 21 years old what is the probability that out of a sample of 550 students at least 15% are 21 years old

Solutions

Expert Solution

Solution

Given that,

p = 0.13

1 - p = 1 -0.13 = 0.87

n = 550

= p = 0.13

=  [p( 1 - p ) / n] = [0.13*(0.87) /550 ] = 0.0143

P( 0.15) = 1 - P( 0.15 )

= 1 - P(( - ) / (0.15 -0.13) /0.0143 )

= 1 - P(z 1.40 )

= 1 - 0.9192 = 0.0808

probability = 0.0808

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Consider the probability that no less than 21 out of 329 students will not pass their...
Consider the probability that no less than 21 out of 329 students will not pass their college placement exams. Choose the best description of the area under the normal curve that would be used to approximate binomial probability. OPTIONS ARE: Area to the right of 20.5 Area to the right of 21.5 Area to left of 20.5 Area to left of 21.5 Area between 20.5 and 21.5
Consider the probability that no less than 21 out of 329 students will not pass their...
Consider the probability that no less than 21 out of 329 students will not pass their college placement exams. Choose the best description of the area under the normal curve that would be used to approximate binomial probability. OPTIONS ARE: Area to the right of 20.5 Area to the right of 21.5 Area to left of 20.5 Area to left of 21.5 Area between 20.5 and 21.5
In a study among college students, participants (ages 18-28 years old) completed a self-report questionnaire about...
In a study among college students, participants (ages 18-28 years old) completed a self-report questionnaire about their self-esteem. What statistical analysis would you use to see if there was a relationship between the two variables listed? Group of answer choices: t-test ANOVA Regression Correlation
In a class, there are 13 students. Out of those 13, 5 students are freshman a)...
In a class, there are 13 students. Out of those 13, 5 students are freshman a) If we pick three students, without replacement, what is the chance that at least one of them is a freshman? b) If we pick 2 students, without replacement, what is the chance that one of them is a freshman and one of them is not a freshman? c) If we pick five students, without replacement, what is the chance that two of them are...
at a party there are 25 students over age 21 and 15 students under age 21...
at a party there are 25 students over age 21 and 15 students under age 21 you choose a random five over those 21 and separately choose a random three of those under 21 to interview about attitudes towards alcohol. You've given every student at the party the same chance to be interviewed what is that chance. why is your sample not an SRS?
Lillian Coleman is 21 years old and has just graduated from college. In considering the retirement...
Lillian Coleman is 21 years old and has just graduated from college. In considering the retirement investing options available at her new job, she is thinking about the long-term effects of inflation. Help her by answering the following related questions: Explain the effect of long-term inflation on meeting retirement financial planning goals. If long-term inflation is expected to average 4 percent per year and you expect a long-term investment return of 6 percent per year, what is Lillian's long-term expected...
A university has found over the years that out of all the students who are offered...
A university has found over the years that out of all the students who are offered admission, the proportion who accept is 0.70. After a new director of admissions is hired, the university wants to check if the proportion of students accepting has changed significantly. Suppose they offer admission to 1200 students and 888 accept. Is this evidence at the α = .05 level that there has been a real change from the status quo?
The mean age of random university, College students in a previous term was 26.6 years old....
The mean age of random university, College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 60 online students and finds that the sample mean is 29.6 with a standard deviation of 2.1. Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general,...
How old are college students? The national age distributions for college students are shown below. The...
How old are college students? The national age distributions for college students are shown below. The Western Association of Mountain Colleges took a random sample of 212 students and obtained the sample distribution listed second. Is the sample age distribution for the Western Association of Mountain Colleges a good fit to the national distribution? Use α = 0.05 National Age Distribution for College Students Age Under 26 26-35 36-45 46-55 Over 55 Percentage 39% 25% 16% 12% 8% Sample Distribution,...
What is the probability that a class of 30 students out of 300 would have a...
What is the probability that a class of 30 students out of 300 would have a final average grade higher than a 90? 95   96   94   58   67   94   89   88   97   76 50   94   61   63   78   90   79   81   98   64 86   91   92   95   85   79   89   88   95   92 94   65   40   80   93   81   95   89   91   88 96   58   88   77   98   91   97   79   93   94 92   91   61   74   90   89   80  ...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT