A research center claims that at least 28% of adults in a certain country think that their taxes will be audited. In a random sample of1000 adults in that country in a recent year, 23% say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of adults in the country think that their taxes will be audited. B. Less than nothing% of adults in the country think that their taxes will be audited. C. At least nothing% of adults in the country think that their taxes will be audited. D. The percentage of adults in the country who think that their taxes will be audited is not nothing%. Let p be the population proportion of successes, where a success is an adult in the country who thinks that their taxes will be audited. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. H0: pnothing Ha: p≤nothing C. H0: p≥nothing Ha: pnothing E. H0: p≠nothing Ha: p=nothing F. H0: p=nothing Ha: p≠nothing (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z0=nothing (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. The rejection regions are znothing. B. The rejection region is nothingnothing. D. The rejection region is z

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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A research center claims that at least 28% of adults in a certain country think that their taxes will be audited. In a random sample of1000 adults in that country in a recent year, 23%
say they are concerned that their taxes will be audited. At

α=0.10,

is there enough evidence to reject the center's claim? Complete parts (a) through (e) below.

(a) Identify the claim and state

and

Ha.

Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Do not round.)

nothing%

of adults in the country think that their taxes will be audited.

Less than

nothing%

of adults in the country think that their taxes will be audited.

At least

nothing%

of adults in the country think that their taxes will be audited.

The percentage of adults in the country who think that their taxes will be audited is not

nothing%.

Let p be the population proportion of successes, where a success is an adult in the country who thinks that their taxes will be audited. State

and

Ha.

Select the correct choice below and fill in the answer boxes to complete your choice.

(Round to two decimal places as needed.)

H0:

p<nothing

Ha:

p≥nothing

H0:

p>nothing

Ha:

p≤nothing

H0:

p≥nothing

Ha:

p<nothing

H0:

p≤nothing

Ha:

p>nothing

H0:

p≠nothing

Ha:

p=nothing

H0:

p=nothing

Ha:

p≠nothing

(b) Find the critical value(s) and identify the rejection region(s).

Identify the critical value(s) for this test.

z0=nothing

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.

(Round to two decimal places as needed.)

The rejection regions are

z<nothing

and

z>nothing.

The rejection region is

nothing<z<nothing.

The rejection region is

z>nothing.

The rejection region is

z<nothing.

z=nothing

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.

▼

Fail to reject

Reject

the null hypothesis. There

▼

is not

enough evidence to

▼

support

reject

the center's claim.

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