Question

Hypothesis Test Example For Proportions:

What proportion of people do not drink alcohol? You believe that the proportion of people in the U.S.A. who do not drink is less than 15%. To determine if you are correct, you take a SRS of 400 U.S. residents, and find the proportion of people who do not drink in your sample is 0.22. Conduct a hypothesis test at the 5% significance level.

A). Write the hypotheses for the test.

B). Check the assumptions for the test. There are two assumptions you must test.

C). What is the z-crit value? Round your answer to 2 decimal places. Include the correct sign.

D). Calculate the value of the test statistic z-calc. Round your answer to 2 decimal places.

E). Do you reject or fail to reject the null?

F). Write the conclusion. State the significance level in the conclusion.

G). Increasing sample size while holding the confidence level constant will increase the width of the confidence interval.

Group of answer choices. Is this true or false?

H). Increasing the confidence level while holding the sample size constant will increase the width of a confidence interval.

Group of answer choices. Is this true or false?

Answer #1

Survey 40 people and ask them this question: “What is your
favorite soft drink?” You record your results and realize that 10
of those people chose Dr. Pepper. You calculated your sample
proportion for the 10 individuals who chose Dr. Pepper, and
standard error. The following are your results:
Proportion: 0.25
Standard Error: 0.0684
You then ask a friend what percentage of people do you think
would say that Dr. Pepper is their favorite soft drink? You friend
claims that...

Hypothesis Test for the Difference in Two
Proportions
You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain 78.6% successes in a sample of size n1=746n1=746 from
the first population. You obtain 70.5% successes in a sample of
size n2=509n2=509 from the second population.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate...

Assume that you plan to use a significance level of ΅= 0.05 to
test the claim that p1= p2. Use the given sample sizesand numbers
of successes to find the z test statistic for the hypothesis
test.8)8)Information about movie ticket sales was printed in a
movie magazine. Out of fifty PG-ratedmovies, 41% had ticket sales
in excess of $3,000,000. Out of thirty-five R-rated movies,
17%grossed over $3,000,000.A)z =3.763B)z =2.352C)z =7.291D)z
=4.704
Assume that you plan to use a significance level...

n order to conduct a hypothesis test for the population
proportion, you sample 290 observations that result in 87
successes. (You may find it useful to reference the appropriate
table: z table or t table) H0: p ≥ 0.35; HA: p < 0.35.
a-1. Calculate the value of the test statistic. (Negative value
should be indicated by a minus sign. Round intermediate
calculations to at least 4 decimal places and final answer to 2
decimal places.)
a-2. Find the p-value....

Questions D-F
d) You conduct a hypothesis test for the
population proportion. After you calculate the z test statistic,
you find that your p-value = 0.059. Using alpha (α) = 0.05 level of
significance, what is your decision regarding the null hypothesis?
Choose from the following.
- Reject the null hypothesis and reject the alternative
hypothesis
- Accept the null hypothesis
- Do not reject the null hypothesis
- Reject the null hypothesis and accept the alternative
hypothesis
e) You...

A group of researchers from a medical firm are trying to
understand the proportion of American adults who are allergic to a
medication. In a random sample of 110 adults, 15 people say they
have such an allergy. For the following hypotheses, what would be
your conclusion based on the information provided? The level of
significance (alpha level) is 0.05. (Hint: Use 1.96 and -1.96 as
the critical z-values) Ho: P = 0.15 (Null) Ha: P ≠ 0.15
(Alternative) Group...

1. A social researcher wants to test the hypothesis that people
who drink a lot while bowling have higher scores than people who do
not drink while they bowl. The researcher studies 50 drinking
bowlers and 50 non-drinking bowlers. The average score for drinking
bowlers was 142 with a standard deviation of 7.45. The average
score for non-drinking bowlers was 134 with a standard deviation of
6.81.
In words: What are your conclusions about the null
hypothesis?
2. A social...

4)
Which of the following is a FALSE statement regarding the
calculation of confidence intervals?
Group of answer choices
You can utilize the sample proportion to estimate the standard
error.
You need to verify that the conditions for the use of the normal
model are met.
You need a prior estimate of the population proportion to
calculate the standard error.
Increasing the level of confidence will increase the width of
the confidence interval.

In hypothesis testing, when do you specify the level of
significance?
Group of answer choices
at the end of the test
before implementing a sample test
it depends upon the results

You wish to test the claim that the population proportion is not
equal to 0.73 at a significance level of α=0.10α=0.10.
You obtain a sample of size 156 in which there are 106 successful
observations.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
The test statistic is...
in the critical region...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 9 minutes ago

asked 33 minutes ago

asked 37 minutes ago

asked 37 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 1 hour ago