Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p 1 and p 2 at the level of significance alphaα. Assume that the samples are random and independent. Claim: p1not equals≠p 2, alphaαequals=0.01 Sample Statistics: x1equals=32, n1equals=73, x2equals=30, n2equals=63 Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution ▼ cannot can be used because n1p overbarpequals=nothing, n1q overbarqequals=nothing, n2p overbarpequals=nothing, and n2q overbarqequals=nothing. (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. A. Upper H 0H0: p 1equals=p 2 Upper H Subscript aHa: p 1not equals≠p 2 B. Upper H 0H0: p 1greater than or equals≥p 2 Upper H Subscript aHa: p 1less thanp 2 D. The conditions to use a normal sampling distribution are not met. Calculate the standardized test statistic for the difference p1minus−p2, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. zequals=nothing (Round to two decimal places as needed.) B. The conditions to use a normal sampling distribution are not met. Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Pequals=nothing (Round to three decimal places as needed.) B. The conditions to use a normal sampling distribution are not met. State the conclusion of the hypothesis test, if applicable. Choose the correct answer below. A. Since Pgreater than>alphaα, reject Upper H 0H0. There is enough evidence at the alphaαequals=0.01 level of significance to support the claim. B. Since Pless thanalphaα, fail to reject Upper H 0H0. There is not enough evidence at the alphaαequals=0.01 level of significance to support the claim. D. Since Pless than

Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions p 1 and p 2 at the level of significance alphaα. Assume that the samples are random and independent. Claim: p1not equals≠p 2, alphaαequals=0.01 Sample Statistics: x1equals=32, n1equals=73, x2equals=30, n2equals=63 Determine whether a normal sampling distribution can be used. The samples are random and independent. A normal sampling distribution ▼ cannot can be used because n1p overbarpequals=nothing, n1q overbarqequals=nothing, n2p overbarpequals=nothing, and n2q overbarqequals=nothing. (Round to two decimal places as needed.) State the null and alternative hypotheses, if applicable. A. Upper H 0H0: p 1equals=p 2 Upper H Subscript aHa: p 1not equals≠p 2 B. Upper H 0H0: p 1greater than or equals≥p 2 Upper H Subscript aHa: p 1less thanp 2 D. The conditions to use a normal sampling distribution are not met. Calculate the standardized test statistic for the difference p1minus−p2, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. zequals=nothing (Round to two decimal places as needed.) B. The conditions to use a normal sampling distribution are not met. Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Pequals=nothing (Round to three decimal places as needed.) B. The conditions to use a normal sampling distribution are not met. State the conclusion of the hypothesis test, if applicable. Choose the correct answer below. A. Since Pgreater than>alphaα, reject Upper H 0H0. There is enough evidence at the alphaαequals=0.01 level of significance to support the claim. B. Since Pless thanalphaα, fail to reject Upper H 0H0. There is not enough evidence at the alphaαequals=0.01 level of significance to support the claim. D. Since Pless than

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

Determine whether a normal sampling distribution can be used for the following sample statistics. If it can be used, test the claim about the difference between two population proportions

p 1

and

p 2

at the level of significance

alphaα.

Assume that the samples are random and independent.

Claim:

p1not equals≠p 2,

alphaαequals=0.01

Sample Statistics:

x1equals=32,

n1equals=73,

x2equals=30,

n2equals=63

Determine whether a normal sampling distribution can be used.

The samples are random and independent. A normal sampling distribution

▼

cannot

can

be used because

n1p overbarpequals=nothing,

n1q overbarqequals=nothing,

n2p overbarpequals=nothing,

and

n2q overbarqequals=nothing.

(Round to two decimal places as needed.)

State the null and alternative hypotheses, if applicable.

Upper H 0H0:

p 1equals=p 2

Upper H Subscript aHa:

p 1not equals≠p 2

Upper H 0H0:

p 1greater than or equals≥p 2

Upper H Subscript aHa:

p 1less than<p 2

Upper H 0H0:

p 1less than or equals≤p 2

Upper H Subscript aHa:

p 1greater than>p 2

The conditions to use a normal sampling distribution are not met.

Calculate the standardized test statistic for the difference

p1minus−p2,

if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

zequals=nothing

(Round to two decimal places as needed.)

The conditions to use a normal sampling distribution are not met.

Calculate the P-value, if applicable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Pequals=nothing

(Round to three decimal places as needed.)

The conditions to use a normal sampling distribution are not met.

State the conclusion of the hypothesis test, if applicable. Choose the correct answer below.

Since

Pgreater than>alphaα,

reject

Upper H 0H0.

There

enough evidence at the

alphaαequals=0.01

level of significance to support the claim.

Since

Pless than<alphaα,

reject

Upper H 0H0.

There

enough evidence at the

alphaαequals=0.01

level of significance to support the claim.

Since

Pgreater than>alphaα,

fail to reject

Upper H 0H0.

There

is not

enough evidence at the

alphaαequals=0.01

level of significance to support the claim.

Since

Pless than<alphaα,

fail to reject

Upper H 0H0.

There

is not

enough evidence at the

alphaαequals=0.01

level of significance to support the claim.

The conditions to use a normal sampling distribution are not met.

Click to select your answer(s).

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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