A poll of2,179randomly selected adults showed that88%of them own cell phones. The technology display below results from a test of the claim that90%of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a0.05significance level to complete parts (a) through (e). Test ofp=0.9vsp≠0.9SampleXNSample p95% CIZ-ValueP-Value119082,1790.875631(0.861775,0.889487)−3.790.000 a. Is the test two-tailed, left-tailed, or right-tailed? Right tailed test Left-tailed test Two-tailed testYour answer is correct.b. What is the test statistic? The test statistic isnegative 3.79−3.79.(Round to two decimal places as needed.)c. What is the P-value? The P-value is0.0020.002.(Round to three decimal places as needed.)d. What is the null hypothesis and what do you conclude about it? Identify the null hypothesis. A.H0: p=0.9Your answer is correct. B.H0: p>0.9 C.H0: p<0.9 D.H0: p≠0.9Choose the correct answer below. A.Fail to rejectthe null hypothesis because the P-value isgreater thanthe significance level,α. B.Rejectthe null hypothesis because the P-value isgreater thanthe significance level,α. C.Fail to rejectthe null hypothesis because the P-value isless than or equal tothe significance level,α. D.Rejectthe null hypothesis because the P-value isless than or equal tothe significance level,α.Your answer is correct.e. What is the final conclusion? A.Thereissufficient evidence to support the claim that90%of adults own a cell phone. B.Thereis notsufficient evidence to support the claim that90%of adults own a cell phone. C.Thereis notsufficient evidence to warrant rejection of the claim that90%of adults own a cell phone. D.Thereissufficient evidence to warrant rejection of the claim that90%of adults own a cell phone.

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Answered: A poll of 2,179 randomly selected…

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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Question

A poll of

2,179

randomly selected adults showed that

88%

of them own cell phones. The technology display below results from a test of the claim that

90%

of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a

0.05

significance level to complete parts (a) through (e).

Sample	X	N	Sample p	95% CI	Z-Value	P-Value
Test of p=0.9 vs p≠0.9
1	1908	2,179	0.875631	(0.861775,0.889487)	−3.79	0.000

a. Is the test two-tailed, left-tailed, or right-tailed?

Right tailed test

Left-tailed test

Two-tailed test

Your answer is correct.

b. What is the test statistic?

The test statistic is

negative 3.79−3.79.

(Round to two decimal places as needed.)

c. What is the P-value?

The P-value is

0.0020.002.

(Round to three decimal places as needed.)

d. What is the null hypothesis and what do you conclude about it?

Identify the null hypothesis.

H0: p=0.9

Your answer is correct.

H0: p>0.9

H0: p<0.9

H0: p≠0.9

Choose the correct answer below.

Fail to reject

the null hypothesis because the P-value is

greater than

the significance level,

α.

Reject

the null hypothesis because the P-value is

greater than

the significance level,

α.

Fail to reject

the null hypothesis because the P-value is

less than or equal to

the significance level,

α.

Reject

the null hypothesis because the P-value is

less than or equal to

the significance level,

α.

Your answer is correct.

e. What is the final conclusion?

There

sufficient evidence to support the claim that

90%

of adults own a cell phone.

There

is not

sufficient evidence to support the claim that

90%

of adults own a cell phone.

There

is not

sufficient evidence to warrant rejection of the claim that

90%

of adults own a cell phone.

There

sufficient evidence to warrant rejection of the claim that

90%

of adults own a cell phone.

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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