Question

Suppose a national news agency reported that more than 88% of all households purchased at least one item online last year. We wish to test this statement and randomly sample 200 households. When asked if they made any online purchases last year 180 reported “YES”. At the 0.05 level of significance, does the sample data support the statement made by the national news agency?

1. State the null and alternative hypotheses of interest. Ho ___________________________ HA ___________________________

2. What is the critical value of the test statistic at the α = 0.05 level of significance?

3. What is the calculated value of the test statistic computed from the sample data?

4. State your conclusion. Does the sample data support the statement made by the news agency?

Answer #1

uppose a national news agency reported that more than 88% of all
households purchased at least one item online last year. We wish to
test this statement and randomly sample 200 households. When asked
if they made any online purchases last year 180 reported “YES”. At
the 0.05 level of significance, does the sample data support the
statement made by the national news agency? 1. State the null and
alternative hypotheses of interest. Ho ___________________________
HA ___________________________
2. What is...

Suppose that we wish to assess whether more than 60 percent of
all U.S. households in a particular income class bought life
insurance last year. That is, we wish to assess whether p, the
proportion of all U.S. households in the income class that bought
life insurance last year, exceeds .60. Assume that an insurance
survey is based on 1,000 randomly selected U.S. households in the
income class and that 640 of these households bought life insurance
last year. 1....

A tyre manufacturer claims that more than 90% of his tyres will
last at least 80,000 km. In a random sample of 200 tyres, 190 wore
out after reaching 80,000 km. Does this evidence support the
manufacturer's claim at the 5% level of significance? Use the
following six steps to arrive at your conclusion.
Step 1. Statement of the hypotheses H0: HA:
Step 2. Test statistic and the standardised test statistic
Step 3. Level of significance
Step 4. Decision rule...

A national poll reported that 58% of those with internet access
have made purchases online. To investigate whether this percentage
applies to its own state, a legislator commissions a study. A
random sample of 400 state residents who have internet access is
taken. Of those 400 respondents, 215 said that they have made
purchases online. Does this sample provide sufficient evidence to
conclude that the state differs from the nation with respect to
making purchases online?
Give the hypotheses for...

•Example: A national poll reported that 58% of
those with Internet access have made purchases online. To
investigate whether this percentage applies to its own state, a
legislator commissions a study. A random sample of 400 state
residents who have Internet access is taken. Of those 400
respondents, 215 said that they have made purchases online.
•a) What kind of data do we have here? Justify your answer or no
credit will be given.
• b) Does this sample provide...

The USDA is concerned that most farmers are older Americans. In
2000, it was reported that 25% of all US farmers were over the age
of 65. In 2020, a random sample of 350 US farmers was taken and it
was found that 96 were over the age of 65. The USDA claims that the
proportion of all farmers who are over the age of 65 is now greater
than 25%. Does this provide evidence to support the USDA’s claim...

The USDA is concerned that most farmers are older Americans. In
2000, it was reported that 25% of all US farmers were over the age
of 65. In 2020, a random sample of 350 US farmers was taken and it
was found that 102 were over the age of 65. The USDA claims that
the proportion of all farmers who are over the age of 65 is now
greater than 25%. Does this provide evidence to support the USDA’s
claim...

The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 54 records
of automobile driver fatalities in a certain county showed that 35
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.05.
(a) What is the level of significance?
State the null and alternate...

A large national survey shows that the waiting times for fast
food restaurants is approximately normally distributed with a mean
of μ = 4.2 minutes and a standard deviation of σ = 0.9 minutes. A
fast food company claims that their mean waiting time in line is
less than 4.2 minutes. To test the claim, a random sample of 95
customers is selected, and is found to have a mean of 3.7 minutes.
We will use this sample data to...

Question 1 (1 point)
Suppose the national average dollar amount for an automobile
insurance claim is $746.9. You work for an agency in Michigan and
you are interested in whether or not the state average is different
from the national average. Treating the national mean as the
historical value, What are the appropriate hypotheses for this
test?
Question 1 options:
1)
HO: μ ≤ 746.9
HA: μ > 746.9
2)
HO: μ > 746.9
HA: μ ≤ 746.9
3)
HO:...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 7 minutes ago

asked 12 minutes ago

asked 17 minutes ago

asked 18 minutes ago

asked 30 minutes ago

asked 34 minutes ago

asked 47 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago