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A research center claims that

2929 %

of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of

11001100

adults in that country,

3333 %

say that they would travel into space on a commercial flight if they could afford it. At

alphaαequals=0.010.01 ,

is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

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 adults in the country who would travel into space on a commercial flight if they could afford it is not

nothing %.

B.

No more than

nothing %

of adults in the country would travel into space on a commercial flight if they could afford it.

C.

At least

nothing %

of adults in the country would travel into space on a commercial flight if they could afford it.

D.

nothing %

of adults in the country would travel into space on a commercial flight if they could afford it.Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State

Upper H 0H0

and

Upper H Subscript aHa.

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

(Round to two decimal places as needed.)

A.

Upper H 0H0 :

pgreater than>nothing

Upper H Subscript aHa :

pless than or equals≤nothing

B.

Upper H 0H0 :

pequals=nothing

Upper H Subscript aHa :

pnot equals≠nothing

C.

Upper H 0H0 :

pless than<nothing

Upper H Subscript aHa :

pgreater than or equals≥nothing

D.

Upper H 0H0 :

pnot equals≠nothing

Upper H Subscript aHa :

pequals=nothing

E.

Upper H 0H0 :

pless than or equals≤nothing

Upper H Subscript aHa :

pgreater than>nothing

F.

Upper H 0H0 :

pgreater than or equals≥nothing

Upper H Subscript aHa :

pless than<nothing

(b) Use technology to find the P-value.

Identify the standardized test statistic.

zequals=nothing

(Round to two decimal places as needed.)

Identify the P-value.

Pequals=nothing

(Round to three decimal places as needed.)

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

▼

Reject

Fail to reject

the null hypothesis. There

▼

is not

is

enough evidence to

▼

support

reject

the research center's claim.

Answer 1

a) 0.29% of adults in the country would travel into space on a commercial flight if they could afford it.Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it.

reject the null hypothesis

There is not enough evidence to support the research centers claim.