# Determine is more than half of all drivers drive a car made in this country at a = 0.05 level of significance

*label*Statistics

*timer*Asked: Dec 13th, 2018

**Question description**

What is the probability of an event that is impossible? Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is impossible?

What is the probability of an event that is impossible?

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.

Upper H 0: pequals0.8 versus Upper H 1: pgreater than0.8

nequals125; xequals110, alphaequals0.05

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.

Upper H 0 : p =0.62 versus Upper H 1 : p less than 0.62

n equals 150, x equals 84 comma alpha equals 0.01

Is np 0 left parenthesis 1 minus p 0 right parenthesis greater than or equals 10?

est the hypothesis using the P-value approach. Be sure to verify the requirements of the test.

Upper H 0 : p equals 0.78 versus Upper H 1 : p not equals 0.78

n equals 500 comma x equals 380 comma alpha equals 0.01

Is np 0 left parenthesis 1 minus p 0 right parenthesis greater than or equals 10? Select the correct choice below and fill in the answer box to complete your

Some have argued that throwing darts at the stock pages to decide which companies to invest in could be a successful stock-picking strategy. Suppose a researcher decides to test this theory and randomly chooses 50 companies to invest in. After 1 year, 27 of the companies were considered winners; that is, they outperformed other companies in the same investment class. To assess whether the dart-picking strategy resulted in a majority of winners, the researcher tested Upper H 0: pequals0.5 versus Upper H 1: pgreater than0.5 and obtained a P-value of 0.2858. Explain what this P-value means and write a conclusion for the researcher. (Assume alpha is 0.1 or less.)

Choose the correct explanation below.

A.

About 29 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5.

B.

About 29 in 100 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is greater than 0.5.

C.

About 27 in 50 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is 0.5.

D.

About 27 in 50 samples will give a sample proportion as high or higher than the one obtained if the population proportion really is greater than 0.5.

In a clinical trial, 26 out of 837 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.7% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.7% of this drug's users experience flulike symptoms as a side effect at the alpha equals 0.05 level of significance?

Because np 0 left parenthesis np0(1-p0) = ______

less than

not equals

greater than equals

10, the sample size is

less than

greater than

5% of the population size, and the sample

▼cannot be reasonably assumed to be random,

is given to not be random,

is given to be random,

can be reasonably assumed to be random,

the requirements for testing the hypothesis

▼

are

are not

satisfied.

wenty years ago, 56% of parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. A recent survey found that 308 of 800 parents of children in high school felt it was a serious problem that high school students were not being taught enough math and science. Do parents feel differently today than they did twenty years ago? Use the alpha equals 0.01 level of significance.

ecause np 0 left parenthesis 1 minus p 0 right parenthesisequals

nothing

▼

not equals

less than

greater than

equals

10, the sample size is

▼

greater than

less than

5% of the population size, and the sample

▼

is given to not be random,

cannot be reasonably assumed to be random,

can be reasonably assumed to be random,

is given to be random,

the requirements for testing the hypothesis

▼

are

are not

satisfied

In a survey, 33% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 180 pet owners and discovered that 54 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the alphaequals0.01 level of significance.

Because np 0 left parenthesis 1 minus p 0 right parenthesisequals

nothing

▼

less than

greater than

equals

not equals

10, the sample size is

▼

less than

greater than

5% of the population size, and the sample

▼

can be reasonably assumed to be random,

is given to not be random,

cannot be reasonably assumed to be random,

is given to be random,

the requirements for testing the hypothesis

▼

are

are not

satisfied.

(Round to one decimal place as needed.)

Previously, 5% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 5% today. She randomly selects 115 pregnant mothers and finds that 4 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the alpha equals 0.05 level of significance.

What are the null and alternative hypotheses?

Upper H 0:

▼

p

mu

sigma

▼

equals

less than

greater than

not equals

nothing versus Upper H 1:

▼

mu

p

sigma

▼

greater than

less than

not equals

equals

nothing

(Type integers or decimals. Do not round.)

Previously,

9.69.6%

of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects

5050

workers and finds that

77

of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the

alpha equals 0.05α=0.05

level of significance.

What are the null and alternative hypotheses?

Upper H 0H0:

▼

pp

alphaα

muμ

▼

not equals≠

equals=

greater than>

less than<

nothing

versus

Upper H 1H1:

▼

muμ

alphaα

pp

▼

less than<

not equals≠

greater than>

equals=

nothing

(Type integers or decimals. Do not round.)

According to a polling organization,

2424%

of adults in a large region consider themselves to be liberal. A survey asked 200 respondents to disclose their political philosophy: Conservative, Liberal, Moderate. Treat the results of the survey as a random sample of adults in this region. Do the survey results suggest the proportion is higher than that reported by the polling organization? Use an

alphaαequals=0.010.01

level of significance.

Click the icon to view the survey results.

Because

np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing

▼

equals=

greater than>

not equals≠

less than<

10;

the sample size is

▼

greater than

less than

5% of the population size, and the sample

▼

can be reasonably assumed to be random,

is given to be random,

is given to not be random,

cannot be reasonably assumed to be random,

the requirements for testing the hypothesis

▼

are

are not

satisfied.

(Round to one decimal place as needed.)

A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that

4242

of

100100

individuals prefer Brand A. Complete parts a through c.

**(a)** Conduct a hypothesis test (preferably using technology)

Upper H 0H0:

p equals p 0p=p0

versus

Upper H 1H1:

pnot equals≠p 0p0

for

p 0p0equals=0.310.31,

0.320.32,

0.330.33,

...,

0.510.51,

0.520.52,

0.530.53

at the

alphaαequals=0.05

level of significance. For which values of

p 0p0

do you not reject the null hypothesis? What do each of the values of

p 0p0

represent?

Do not reject the null hypothesis for the values of

p 0p0

between

nothing

and

nothing,

inclusively.

(Type integers or decimals as needed.)

Explain what a P-value is. What is the criterion for rejecting the null hypothesis using the P-value approach?

Explain what a P-value is. Choose the correct answer below.

A.

A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the null hypothesis.

B.

A P-value is the value used to designate the area

alphaα

in either the left- or right-tail of the normal curve.

C.

A P-value is the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the statement in the null hypothesis is true.

Explain what "statistical significance" means.

Choose the correct explanation below.

A.

Statistical significance means that the null hypothesis claims the population proportion is equal to something other than 0.5.

B.

Statistical significance means that the tools used to measure the data introduce error that needs to be accounted for when considering whether or not to reject the null hypothesis.

C.

Statistical significance means that the sample standard deviation is unusually small, resulting in an unusually large test statistic.

D.

Statistical significance means that the scenario being analyzed will have a meaningfulreal-world impact.

E.

Statistical significance means that the result observed in a sample is unusual when the null hypothesis is assumed to be true.

**Tags:**parameter statistics hypothesis tests Lonestar College Fundamentals of Statistics hypothesis regarding parameter