Search & Filtering
the decision made to the null hypothesis when the critical value lies in the confidence region
Suppose X1,X2,...,Xn is a RS from Bernoulli distribution. Define the estimator theta hat=1/n+√n( summation Xi+√n/n) Show that theta hat is a consistent estimator of theta
A certain health magazine stated that 14% of men said they used exercise to reduce stress. At a = 0.05, test the claim wherein, from a random sample of 100 men who were selected, 10 said that they used exercise to relieve stress.
It is found out that 13% of students enrolled in College Algebra at a large university fail the first time they take it. A psychology professor claims that this could be reduced with a program of counseling, and so on. A random sample of 850 students enrolled in College Algebra take this program and 99 fail anyway. Is this a significant improvement at the 0.05 level?
3.) In a political rally, an opinion poll was conducted among the present voters if they approve the platform of the candidate. 201 said they do approve. If there were 500 individuals in the sample, what is p? what is q?
4.) A certain barangay embarked on a Quit Smoking program among the constituents. A survey was made among a sample of 200 smoking individuals of the village asking who would join the program. 118 said they would join the program. What are the values of p and q?
5.) A total of 200 Grade 8 students who have access to internet services were asked if they play games online before they attend classes. 95 students responded Yes. What is the population proportion of students who play video games before attending classes? What percent do not play video games before attending classes?
2.) Estimate the population proportions for each of the following data:
a.) In a plant box consisting of 120 seedlings, 80 seedlings were treated with growth enhancer. Estimate p and q.
b.) In a survey of 80 children, 48 like to watch horror films. Find and , where is the proportion of children who like to watch horror films.
In a sample of 300 students, 68% said they own an iPod and a smart phone. Compute a 95% confidence interval for the true percent of students who own an iPod and a smartphone.
A. Find the values using t distribution table for each of the following:
1. n = 18 , 95 % confidence
2. n = 23 , 95 % confidence
3. n = 15 , 98 % confidence
4. n = 10 , 90 % confidence
5. n = 20 , 95 % confidence
in a viral pool test it is known that in a group of 5 people, exactly one will test positive. if they are tested one by one in a random order for confirmation what is the probability the only two test are needed
A random variable X has the following probability distribution: x 0 1 3 4 5 6 7 P X x ( ) 0 k 2k 3k k^2 2k^2 7k^2+ k A. Find k. 2 B. Evaluate P (1<=X< 6).
