Question

In: Statistics and Probability

In a recent survey, it was found that 118 out of 500 randomly selected junior high...

In a recent survey, it was found that 118 out of 500 randomly selected junior high school students enjoyed their math class the most. It was also found that 192 out of 1000 randomly selected high school students enjoyed their math class the most. Test the hypothesis that the percentage of junior high school students who enjoy their math class the most is different than the percentage of high school students who enjoy their math class the most. Use the α = 0.01 level of significance. The P-value is __, rounded to the nearest ten-thousandth.

Solutions

Expert Solution


Related Solutions

A survey of 500 randomly selected adults found that 57% say that they would take a...
A survey of 500 randomly selected adults found that 57% say that they would take a ride in a fully self-driving car. The 95% confidence interval for the true proportion of all adults who would take a ride in a full self-driving car is found to be (0.5266, 0.6134). Can we conclude that the majority of all adults would take a ride in a fully self-driving car? Yes; Since the confidence interval limits are both greater than 50%, we can...
A student at a junior college conducted a survey of 20 randomly selected​ full-time students to...
A student at a junior college conducted a survey of 20 randomly selected​ full-time students to determine the relation between the number of hours of video game playing each​ week, x, and​ grade-point average, y. She found that a linear relation exists between the two variables. The​ least-squares regression line that describes this relation is ModifyingAbove y with caret equals negative 0.0559 x plus 2.9289. (a) Predict the​ grade-point average of a student who plays video games 8 hours per...
A student at a junior college conducted a survey of 20 randomly selected? full-time students to...
A student at a junior college conducted a survey of 20 randomly selected? full-time students to determine the relation between the number of hours of video game playing each? week, x, and? grade-point average, y. She found that a linear relation exists between the two variables. The? least-squares regression line that describes this relation is y = -0.0503x + 2.9381. (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average...
A student at a junior college conducted a survey of 20 randomly selected​ full-time students to...
A student at a junior college conducted a survey of 20 randomly selected​ full-time students to determine the relation between the number of hours of video game playing each​ week, x, and​ grade-point average, y. She found that a linear relation exists between the two variables. The​ least-squares regression line that describes this relation is ModifyingAbove y with caret equals negative 0.0592 x plus 2.9446. ​(a) Predict the​ grade-point average of a student who plays video games 8 hours per...
In a recent survey of high school students, it was found that the amount of time...
In a recent survey of high school students, it was found that the amount of time spent on reading books per week was normally distributed with a mean of 32 minutes. Assume the distribution of weekly reading time follows the normal distribution with a population standard deviation of 2 minutes. Suppose we select a sample of 20 high school students. a. What is the standard error of the mean time? Answer b. What percent of the sample means will be...
In a survey of 356 randomly selected gun owners, it was found that 82 of them...
In a survey of 356 randomly selected gun owners, it was found that 82 of them said they owned a gun primarily for protection. Find the margin of error and 95% confidence interval for the percentage of all gun owners who would say that they own a gun primarily for protection. Round all answers to 3 decimal places. Margin of Error (as a percentage): % Confidence Interval: % to %
A survey of 25 randomly selected customers found the ages shown (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.64 years and the standard deviation is 9.97 years. ​a) What is the standard error of the​ mean? ​b) How would the standard error change if the sample size had been 400 instead of 25​? ​(Assume that the sample standard deviation​ didn't change.)
A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is 32.24 years and the standard deviation is 9.55 years.​ 30 41 48 36 20 36 37 36 26 27 17 23 39 35 21 10 31 42 32 41 43 28 47 25 35 a) Construct a 90% confidence interval for the mean age of all​ customers, assuming that the assumptions and conditions for the confidence interval have been met. ​b) How large is...
A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is 31.52 years and the standard deviation is 10.24 years. ​a) Construct a 95​% confidence interval for the mean age of all​ customers, assuming that the assumptions and conditions for the confidence interval have been met. ​b) How large is the margin of​ error? ​c) How would the confidence interval change if you had assumed that the standard deviation was known to be 11.0 ​years?...
A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is...
A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is 33.16 years and the standard deviation is 9.33 years.​ a) Construct a 95​% confidence interval for the mean age of all​ customers, assuming that the assumptions and conditions for the confidence interval have been met. ​b) How large is the margin of​ error? ​c) How would the confidence interval change if you had assumed that the standard deviation was known to be 10.0 ​years?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT