A poll of2,096randomly selected adults showed that91%of them own cell phones. The technology display below results from a test of the claim that95%of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a0.01significance level to complete parts (a) through (e). Test ofp=0.95vsp≠0.95SampleXNSample p95% CIZ-ValueP-Value119062,0960.909351(0.893198,0.925505)−8.540.000 Question content area bottomPart 1a. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed testYour answer is correct. Left-tailed test Right tailed testPart 2b. What is the test statistic? The test statistic isnegative 8.54−8.54.(Round to two decimal places as needed.)Part 3c. What is the P-value? The P-value isenter your response here.(Round to three decimal places as needed.)

Answered: Image /qna-images/answer/87ddc973-418f-4ebb-b98b-97e9f5433f18.jpg

Answered: A poll of 2,096 randomly selected…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Test of p=0.95 vs p≠0.95
Sample	X	N	Sample p	95% CI	Z-Value	P-Value
1	1906	2,096	0.909351	(0.893198,0.925505)	−8.54	0.000

Question content area bottom

Part 1

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

Two-tailed test

Your answer is correct.

Left-tailed test

Right tailed test

Part 2

b. What is the test statistic?

The test statistic is

negative 8.54−8.54.

(Round to two decimal places as needed.)

Part 3

c. What is the P-value?

The P-value is

enter your response here.

(Round to three decimal places as needed.)

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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