Toastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 135 report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of theconfidence interval. (Round your answers to four decimal places.)95% C.I. O Part (d)State the distribution to use for the test. (Round your answers to four decimal places.)P' ~NPart (e)What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribO Part (f)What is the p-value? (Round your answer to four decimal places.)Explain what the p-value means for this problem.O If Ho is false, then there is a chance equal to the p-value that 135 or less out of 361 students fear public speaking.O If Ho is true, then there is a chance equal to the p-value that 135 or less out of 361 students do not fear public speaking.O If Ho is false, then there is a chance equal to the p-value that 135 or less out of 361 students do not fear public speaking.O If Ho is true, then there is a chance equal to the p-value that 135 or less out of 361 students fear public speaking.

Given: p=40%=0.40x=135n=361α=5%=0.05

Answered: Toastmasters International cites a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Toastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 135 report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%.

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the
confidence interval. (Round your answers to four decimal places.)
95% C.I.

O Part (d)
State the distribution to use for the test. (Round your answers to four decimal places.)
P' ~N
Part (e)
What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distrib
O Part (f)
What is the p-value? (Round your answer to four decimal places.)
Explain what the p-value means for this problem.
O If Ho is false, then there is a chance equal to the p-value that 135 or less out of 361 students fear public speaking.
O If Ho is true, then there is a chance equal to the p-value that 135 or less out of 361 students do not fear public speaking.
O If Ho is false, then there is a chance equal to the p-value that 135 or less out of 361 students do not fear public speaking.
O If Ho is true, then there is a chance equal to the p-value that 135 or less out of 361 students fear public speaking.

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.

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