Answered: It is believed that nearsightedness…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

It is believed that nearsightedness affects about 8% of all children. In a random sample of 220 children, 26 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)
(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic. Z = _______ (round to two decimal places)
(d) What is the p-value for this hypothesis test? P-value = __________ (round to four decimal places)

(e) What is the conclusion of the hypothesis test?

Since p ≥ α we do not have enough evidence to reject the null hypothesis
Since p<α we reject the null hypothesis and accept the alternative
Since p ≥ α we accept the null hypothesis
Since p ≥ α we reject the null hypothesis and accept the alternative

Reminder:

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution