Question

14.) A private study group from Tanzania claims that only 29% of its citizens are opposed to continued quarantine measures. The government claims that the percentage is much higher. Another private study group decides to test the governments claim by selecting a random sample of 81 Tanzanian residents. They find that 29 of them are opposed to continued quarantine measures.

a.) What is the variable? Is it an attribute or measurable?

b.) State the hypothesis.

c.) Calculate both the p-value and the value of the test statistic.

d.) Would you reject H0 or fail to reject H0 at a 5% level of significance?

e.) What would you conclude about the Tanzanian government's claim?

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H0 : p = 0.29

Ha : p > 0.29

n =81

x =29

= x / n = 29 / 81 = 0.36

P0 = 0.29

1 - P0 = 1 - 0.29 =0.71

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

=0.36 -0.29 / [(0.29*0.71) / 81]

= 1.39

Test statistic = z =1.39

P(z > 1.39 ) = 1 - P(z < 1.39 ) = 1 - 0.9177

P-value = 0.0823

= 0.05

P-value >

0.0823 >0.05

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that

A consumer group claims that Tex-Mex Cantina is over filling its
"16 ounce" sodas which is adding unreported calories to the
restaurant's meals. A random sample of 29 sodas served at the
restaurant had an average volume of 17.4 ounces and a sample
standard deviation of 1.7 ounces. At the 1% significance level,
test the consumer group's claim by determining the test statistic,
the critical value(s), and the conclusion.
Test statistic: 4.36, Critical values: 2.467, Conclusion:
Support the claim that...

A concerned group of citizens wanted to know if the proportion
of armed robberies in Texas was different in 2011 than in 2010.
Their research showed that of the 113,231 violent crimes in Texas
in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the
104,873 violent crimes were in the armed robbery category. Test at
a 5% significance level.
a) The null and alternative hypothesis would be: Select one.
H0:p2010=p2011H0:p2010=p2011
H1:p2010≠p2011H1:p2010≠p2011
H0:μ2010=μ2011H0:μ2010=μ2011
H1:μ2010<μ2011H1:μ2010<μ2011
H0:μ2010=μ2011H0:μ2010=μ2011
H1:μ2010≠μ2011H1:μ2010≠μ2011
H0:μ2010=μ2011H0:μ2010=μ2011
H1:μ2010>μ2011H1:μ2010>μ2011...

16. In a hypothesis test, the claim is μ≤28 while the sample of
29 has a mean of 41 and a standard deviation of 5.9. In this
hypothesis test, would a z test statistic be used or a t test
statistic and why?
z test statistic would be used as the mean is less than than
30
t test statistic would be used as the sample size is less than
30
t test statistic would be used as the standard...

A consumer advocacy group is doing a large study on car rental
practices. Among other things, the consumer group would like to do
a statistical test regarding the mean monthly mileage, μ, of cars
rented in the U.S. this year. The consumer group has reason to
believe that the mean monthly mileage of cars rented in the U.S.
this year is less than last year's mean, which was 2750 miles. The
group plans to do a statistical test regarding the...

1. A city official claims that the proportion of all commuters
who are in favor of an expanded public transportation system is
50%. A newspaper conducts a survey to determine whether this
proportion is different from 50%. Out of 225 randomly chosen
commuters, the survey finds that 90 of them reply yes when asked if
they support an expanded public transportation system. Test the
official’s claim at α = 0.05.
2. A survey of 225 randomly chosen commuters are asked...

Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how the firms resources
incompetencies support the given pressures regarding costs and
local responsiveness. Describe entry modes have they usually used,
and whether they are appropriate for the given strategy. Any key
issues in their global strategy?
casestudy:
Atlanta, June 17, 2014. Sea of Delta employees and their
families swarmed between food trucks, amusement park booths, and
entertainment venues that were scattered throughout what would...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 23 minutes ago

asked 35 minutes ago

asked 41 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago