Do you prefer e-textbooks over print textbooks? Responses for random samples of 'young students' and 'mature students' are summarized below. Young StudentsMature StudentsPrefer e-textbook119108Sample Size280200Standard Normal Distribution Tablea. State the hypotheses for testing if a significant difference exists between the two population proportions.H0 : p1−p2 ? 0 H1 : p1−p2 ? 0 b. Calculate the test statistic.z= Round to two decimal places if necessaryEnter 0 if normal approximation cannot be usedc. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.01�=0.01.=Round to two decimal places if necessaryEnter 0 if normal approximation cannot be usedd. Conclude whether to reject the null hypothesis or not based on the test statistic.RejectFail to RejectCannot Use Normal Approximation

Answered: two population proportions. H0 : p1−p2…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 10E

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Do you prefer e-textbooks over print textbooks? Responses for random samples of 'young students' and 'mature students' are summarized below.

	Young Students	Mature Students
Prefer e-textbook	119	108
Sample Size	280	200

Standard Normal Distribution Table

a. State the hypotheses for testing if a significant difference exists between the two population proportions.

H0 : p1−p2 ? 0

H1 : p1−p2 ? 0

b. Calculate the test statistic.

Round to two decimal places if necessary

Enter 0 if normal approximation cannot be used

c. Determine the critical value(s) and state the rejection region for the null hypothesis at a=0.01�=0.01.

Round to two decimal places if necessary

Enter 0 if normal approximation cannot be used

d. Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

Cannot Use Normal Approximation

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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