Given the null and alternative hypotheses​ below, test the hypothesis using

alphaαequals=0.01

assuming that a sample of

nequals=400

yielded

xequals=209

items with the desired attribute.

Upper H 0H0​:

pgreater than or equals≥0.59

Upper H Subscript Upper AHA​:

pless than<0.59

Check the requirement for a hypothesis test for a proportion.

In this​ situation,

npequals=nothing

is

▼

greater than

less than

equal to

5 and

​n(1minus−​p)equals=nothing

is

▼

less than

greater than

equal to

5.​ Thus, the requirement

▼

is not

is

satisfied.

​(Type integers or​ decimals.)

What is the test​ statistic?

zequals=nothing

​(Round to two decimal places as​ needed.)

What is the​ p-value?

​p-valueequals=nothing

​(Round to three decimal places as​ needed.)

What is the proper​ conclusion?

▼

Reject

Do not reject

Upper H 0H0.

There is

▼

sufficient

insufficient

evidence to conclude that the population proportion is

▼

less than

greater than

equal to

at least

0.59