A research center claims that more than 21% of employees in a certain country have changed jobs in the past four years. In a random sample of 280 people from that country, 70 have changed jobs in the past four years. At α=0.01, is there enough evidence to support 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. The percentage of employees in the country who have changed jobs in the past four years is not nothing%. B. nothing% of employees in the country have changed jobs in the past four years. C. At most nothing% of employees in the country have changed jobs in the past four years. D. More than nothing% of employees in the country have changed jobs in the past four years. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. 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 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 region is z>nothing. B. The rejection region is znothing. (c) Find the standardized test statistic z. 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 is not enough evidence to ▼ reject support the center's claim.

A research center claims that more than 21% of employees in a certain country have changed jobs in the past four years. In a random sample of 280 people from that country, 70 have changed jobs in the past four years. At α=0.01, is there enough evidence to support 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. The percentage of employees in the country who have changed jobs in the past four years is not nothing%. B. nothing% of employees in the country have changed jobs in the past four years. C. At most nothing% of employees in the country have changed jobs in the past four years. D. More than nothing% of employees in the country have changed jobs in the past four years. Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past four years. 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 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 region is z>nothing. B. The rejection region is znothing. (c) Find the standardized test statistic z. 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 is not enough evidence to ▼ reject support the center's claim.

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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Related questions

Question

A research center claims that more than

21%

of employees in a certain country have changed jobs in the past

four

years. In a random sample of

280

people from that country,

have changed jobs in the past

four

years. At

α=0.01,

is there enough evidence to support 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.)

The percentage of employees in the country who have changed jobs in the past

four

years is not

nothing%.

nothing%

of employees in the country have changed jobs in the past

four

years.

At most

nothing%

of employees in the country have changed jobs in the past

four

years.

More than

nothing%

of employees in the country have changed jobs in the past

four

years.

Let p be the population proportion of successes, where a success is an employee in the country who has changed jobs in the past

four

years. 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 region is

z>nothing.

The rejection region is

z<nothing.

The rejection region is

nothing<z<nothing.

The rejection regions are

z<nothing

and

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

▼

reject

support

the center's claim.

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