Question

In: Statistics and Probability

It is known that 12% of children are nearsighted. A random sample of 170 children is...

It is known that 12% of children are nearsighted. A random sample of 170 children is selected. What is the probability more than 14% of this sample will be nearsighted?

a. 0.7881

b. 0.7734

c. 0.2119

d. 0.2266

Solutions

Expert Solution

This problem can be solved using the normal distribution method. We have large sample size of 170 which is greater than 30 , so we can use normal distribution method . With the help of Z value , we can calculate the required probability. The question has been solved in detail below.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

It is known that 12% of children are nearsighted. A random sample of 170 children is...
It is known that 12% of children are nearsighted. A random sample of 170 children is selected. What is the probability more than 14% of this sample will be nearsighted? a. 0.7881 b. 0.2119 c. 0.2266 d. 0.7734
It is known that​ 35% of students change their major in college. In a random sample...
It is known that​ 35% of students change their major in college. In a random sample of 500​ students, what is the probability that less than​ 36% of these students will change their ​major? A. 0.6808 B. 0.3192 C. 0.0176 D. 0.2000
A random sample of 12 diamonds are taken in a study of the hardness of the...
A random sample of 12 diamonds are taken in a study of the hardness of the diamond. Measurements made, yielding an average value of 48.5 with a sample standard deviation of 1.5. Fill in the blanks for the critical values for a 98% confidence interval for the variance of the hardness of the diamond.
It is believed that nearsightedness affects about 8% of all children. In a random sample of...
It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? Ho: p = .08 Ha: p > .08 Ho: p = .08 Ha: p ≠ .08 Ho: p = .08 Ha: p < .08 (b) What proportion of children in this sample are nearsighted? 0.1082 (round to four decimal places)...
A random sample of elementary school children in New York state is to be selected to...
A random sample of elementary school children in New York state is to be selected to estimate the proportion p p who have received a medical examination during the past year. It is desired that the sample proportion be within 0.045 of the true proportion with a 98 98 % level of confidence (a) Assuming no prior information about p p is available, approximately how large of a sample size is needed? If a planning study indicates that pp is...
2. In a random sample of 857 families with multiple children, it was found that 533...
2. In a random sample of 857 families with multiple children, it was found that 533 of them prefer Charmin brand toilet paper. Test the claim that the proportion is larger than 0.61 using a 0.05 significance level. a. Give the critical region and the value of the test statistic. b. Give the decision and conclusion.
A random sample of 40 adults with no children under the age of 18 years results...
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.64 ​hours, with a standard deviation of 2.41 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.24 ​hours, with a standard deviation of 1.52 hours. Construct and interpret a 95​% confidence interval for the mean difference in leisure time between adults with no...
In a study of parents who have children with ADHD, a simple random sample of parents...
In a study of parents who have children with ADHD, a simple random sample of parents were asked to rate their overall stress level. A higher score indicates greater stress. The mean rating for the 50 parents in the study was reported to be 46.8 with a standard deviation of 10.34. The researchers considered a score greater than 45 to represent extreme stress. Is there evidence that the mean stress level for the parents in this study is above this...
A random sample of 75 pre-school children was taken. The child was asked to draw a...
A random sample of 75 pre-school children was taken. The child was asked to draw a nickel. The diameter of that nickel was recorded. Their parent's incomes (in thousands of $) and the diameter of the nickel they drew are given below. Income (thousands of $) Coin size (mm) 25 23 16 24 11 25 30 22 36 19 18 28 27 31 28 24 34 21 27 24 14 25 13 20 37 21 17 18 36 25 12...
1. It is believed that nearsightedness affects about 8% of all children. In a random sample...
1. It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? Ho: p = .08 Ha: p ≠ .08 Ho: p = .08 Ha: p < .08 Ho: p = .08 Ha: p > .08 (b) What proportion of children in this sample are nearsighted? (round to four decimal places)...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT