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

Which of the binomials below is a factor of this trinominal? x^2-13+30

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.