Question

In: Statistics and Probability

In a sample of 32 elementary algebra students 8 suffered from math anxiety. Find a 98%...

In a sample of 32 elementary algebra students 8 suffered from math anxiety. Find a 98% confidence interval for the proportion of all elementary algebra students who have math anxiety.

Solutions

Expert Solution

Solution :

Given that,

n = 32

x = 8

Point estimate = sample proportion = = x / n = 8/32=0.25

1 -   = 1-.25 =0.75

At 98% confidence level the z is ,

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02/ 2 = 0.01

Z/2 = Z0.01 = 2.326 ( Using z table    )

Margin of error = E = Z / 2 *( (( * (1 - )) / n)

= 2.326 (((0.25*0.75) /32 )

E = 0.178

98% confidence interval for the proportion of all elementary is

- E < p < + E

0.25 - 0.178 < p < 0.25+0.178

0.072<p<0.428

(0.072 , 0.428)


Related Solutions

In sample of 32 elementary algebra students 8 suffered from math anxiety. Find a 98% confidence...
In sample of 32 elementary algebra students 8 suffered from math anxiety. Find a 98% confidence interval for the proportion of all elementary algebra students who have math anxiety.
2. A sample of 32 students took a class designed to improve their SAT math scores....
2. A sample of 32 students took a class designed to improve their SAT math scores. Their scores before and after the class are recorded in the sheet ‘SAT Scores’ in the ‘Lab12 Chp 10n11 S20’ spreadsheet. (a) Are the samples independent or paired? (b) Consider constructing a 90% confidence interval for the average increase in scores after taking the class.                i. Find the point of estimate using proper notation. Show your work including all relevant quantities needed. Round...
In a trial of Pfizer’s new math-anxiety-reducing drug, a random sample of 100 students yielded 58...
In a trial of Pfizer’s new math-anxiety-reducing drug, a random sample of 100 students yielded 58 who showed significant improvement. Construct a 92% confidence interval for π, the population proportion of all students who would be helped by the drug. (Round to two decimals places)
A math department gives all college algebra students a test to test rather or not students...
A math department gives all college algebra students a test to test rather or not students taking college algebra on site perform better on Final than students that take class completely online. The Math department gathers random samples of 40 on-site students (Students who take class in the classroom) and 35 online students. The test score for each student in the random sample is determined. The mean score for the on-site students is 75, with a standard deviation of 12....
In a recent survey of 200 elementary students, many revealed they preferred math than English. Suppose...
In a recent survey of 200 elementary students, many revealed they preferred math than English. Suppose that 80 of the students surveyed were girls and that 120 of them were boys. In the survey, 60 of the girls, and 80 of the boys said that they preferred math more. 1. What is the difference in the probability between that girls prefer math more and boys prefer math more? a.0.0833 b. 0.5 c 0.0042 d. 0.4097 2. What is the standard...
Exercise Overview Implement a Java program that creates math flashcards for elementary grade students. User will...
Exercise Overview Implement a Java program that creates math flashcards for elementary grade students. User will enter his/her name, the type (+, -, *, /), the range of the factors to be used in the problems, and the number of problems to work. The system will provide problems, evaluate user responses to the problems, score the problems, and provide statistics about the session at the end. Functional Requirements User enters name at the beginning of a session. System covers four...
Write a JAVA application that asks elementary students a set of 10 math problems First ask...
Write a JAVA application that asks elementary students a set of 10 math problems First ask the user for a level and a problem type. You need to validate the level and problem type and loop until the user enters a correct one. There should be 3 levels. Level 1 operands would have values in the range of 0-9, level 2 operands would have values in the range of 0-99, and level 3 operands would have values in the range...
Suppose a math teacher takes a sample of 169 students and calculates their mean math test...
Suppose a math teacher takes a sample of 169 students and calculates their mean math test score to be 78. suppose it is known that the test score is distributed normally with standard deviation of 9. a. Give 90% confidence interval for u, the population mean, for the average math test score. b. Interpret the interval in part a. in terms of the problem. c. what is the value of z for a 98% confidence interval? d.What is the value...
A simple random sample of 50 items from a population with σ = 8 resulted in a sample mean of 32.
  A simple random sample of 50 items from a population with σ = 8 resulted in a sample mean of 32. (Round your answers to two decimal places.) (a) Provide a 90% confidence interval for the population mean. to (b) Provide a 95% confidence interval for the population mean. to (c) Provide a 99% confidence interval for the population mean. to
One hundred students were given an Algebra test. A random sample of ten students was taken...
One hundred students were given an Algebra test. A random sample of ten students was taken out of class of 800 enrolled students. The time it took each student to complete the test is recorded below. 22.2, 23.7, 16.8, 18.3, 19.7, 16.9, 17.2, 18.5, 21.0, and 19.7 a. Find the mean, variance and standard deviation for this sample of ten students b. Construct a 95% confidence interval for the population mean time to complete this Algebra test. c. Test if...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT