a sample of 113 observations indicated that X1 is 71. A second sample of 157 observations indicated...
a sample of 113 observations indicated that
X1 is 71. A second sample of 157 observations
indicated that X2 is 95. Conduct
a z-test of hypothesis about a difference in population
proportions using a 0.03 significance level.
H0:
p1 - p2 ≥ 0
H1: p1 -
p2 < 0
a)State the decision
rule.Reject H0 in favour
of H1 if the computed value of the
statistic is less than -1.88 or greater than
1.88.Reject H0 in favour
of H1 if the computed value of the
statistic is greater than
2.17.Reject H0 in favour
of H1 if the computed value of the
statistic is less than -2.17 or greater than
2.17.Reject H0 in favour
of H1 if the computed value of the
statistic is between -2.17 and
2.17.Reject H0 in favour
of H1 if the computed value of the
statistic is less than
-1.88.Reject H0 in favour
of H1 if the computed value of the
statistic is between -1.88 and 1.88.None of the above.
b) Compute the pooled proportion.
For full marks your answer should be accurate to at least four
decimal places.
Pooled proportion: 0
c) What is the value of the test
statistic?
For full marks your answer should be accurate to at least three
decimal places.
Test statistic: 0
d)What is your decision
regarding H0?There is sufficient evidence,
at the given significance level, to
reject H0, and
accept H1 or at least there is not
enough evidence to reject H1.There is
insufficient evidence, at the given significance level, to
reject H0.There is insufficient evidence to
reject or not reject the null hypothesis.
Homework Answers
Add Answer to:
a sample of 113 observations indicated that
X1 is 71. A second sample of 157 observations
indicated...
A pharmaceutical company is checking their medicines according to the regulations imposed. The company must ensure...
A pharmaceutical company is checking their medicines according to the regulations imposed. The company must ensure that their medicine contains exactly the amount prescribed. For a certain pill they tested they require the pill to be mg. The random sample of 26 that they took revealed that this was not the case. The mean weight of the pills in the sample was 9.02mg with a standard deviation of 5.10mg Use a 0.1 to answer the following questions a) What type...
A sample of 1000 observations taken from the first population gave x1 = 290. Another sample of 1200 observations taken from the second population gave x2 = 396. a. Find the point estimate of p1 − p2....
A sample of 1000 observations taken from the first population gave x1 = 290. Another sample of 1200 observations taken from the second population gave x2 = 396. a. Find the point estimate of p1 − p2. b. Make a 98% confidence interval for p1 − p2. c. Show the rejection and nonrejection regions on the sampling distribution of pˆ1 − pˆ2 for H0: p1 = p2 versus H1: p1 < p2. Use a significance level of 1%. d. Find...
Independent random samples of size n1=38 and n2=86 observations, were selected from two populations. The samples...
Independent random samples of size n1=38 and n2=86 observations, were selected from two populations. The samples from populations 1 and 2 produced x1=18 and x2=13 successes, respectively. Define p1 and p2 to be the proportion of successes in populations 1 and 2, respectively. We would like to test the following hypotheses: H0:p1=p2 versus H1:p1≠p2 (a)To test H0 versus H1, which inference procedure should you use? A. Two-sample z procedure B. One-sample z procedure C. One-sample t procedure D. Two-sample t...
A sample of 71 observations is selected from a normal population. The sample mean is 24,...
A sample of 71 observations is selected from a normal population. The sample mean is 24, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.05 significance level. H0 : μ ≤ 23 H1 : μ > 23 a. Is this a one- or two-tailed test? (Click to select) One-tailed test Two-tailed test b. What is the decision rule? (Round the final answer to 3 decimal places.) (Click to select) Reject Accept H0 and (Click to select) accept reject H1 when z > ....
Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference...
Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table) H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 250 x2 = 275 n1 = 400 n2 = 400 a. 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...
The options for the final part are A.(less than/greater than) B.(Fail to reject, Reject) C.(sufficent/insufficent) A...
The options for the final part
are A.(less than/greater than) B.(Fail to reject, Reject)
C.(sufficent/insufficent)
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 288 vinyl gloves, 70% leaked viruses. Among 288 latex gloves, 6% leaked viruses. See the accompanying display of the technology results. Using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1 Click...
For one binomial experiment, n1 = 75 binomial trials produced r1 = 60 successes. For a...
For one binomial experiment, n1 = 75 binomial trials produced r1 = 60 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 85 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. (a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.) (b) Check Requirements: What distribution does the sample test statistic follow? Explain....
A sample of size 100, taken from a population whose standard deviation is known to be...
A sample of size 100, taken from a population whose standard deviation is known to be 8.90, has a sample mean of 51.16. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 52, that is, H0 is that μ ≥ 52 and we want to test the alternative hypothesis, H1, that μ < 52, with level of significance α = 0.05. a) What type of test would be appropriate in...
In order to conduct a hypothesis test for the population proportion, you sample 450 observations that...
In order to conduct a hypothesis test for the population
proportion, you sample 450 observations that result in 189
successes. (You may find it useful to reference the
appropriate table: z table or t
table)
H0: p ≥ 0.45;
HA: p < 0.45.
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.)
TEST STATISTIC =
a-2....
In order to conduct a hypothesis test for the population proportion, you sample 290 observations that...
In 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 ≥ 0.36; HA: p < 0.36. 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....
A pharmaceutical company is checking their medicines according to the regulations imposed. The company must ensure that their medicine contains exactly the amount prescribed. For a certain pill they tested they require the pill to be mg. The random sample of 26 that they took revealed that this was not the case. The mean weight of the pills in the sample was 9.02mg with a standard deviation of 5.10mg Use a 0.1 to answer the following questions a) What type...
The options for the final part
are A.(less than/greater than) B.(Fail to reject, Reject)
C.(sufficent/insufficent)
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 288 vinyl gloves, 70% leaked viruses. Among 288 latex gloves, 6% leaked viruses. See the accompanying display of the technology results. Using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1 Click...
In order to conduct a hypothesis test for the population
proportion, you sample 450 observations that result in 189
successes. (You may find it useful to reference the
appropriate table: z table or t
table)
H0: p ≥ 0.45;
HA: p < 0.45.
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.)
TEST STATISTIC =
a-2....
Most questions answered within 3 hours.
-
What is the one ingredient that is common to being successful
with all stakeholders?
profit
trust...
asked 2 minutes from now -
Write an assembly language 32 bit program that reads in lines of
text by a .txt...
asked 12 seconds ago -
what is the density ( in g/L) of hydrogen gas at 29 degrees C and a...
asked 8 minutes ago -
5-6. You are considering three investment alternatives for some
spare cash: Old Reliable Corporation stock (A1),...
asked 39 seconds ago -
Problem 16-02
Receivables Investment
Medwig Corporation has a DSO of 45 days. The company averages
$7,250...
asked 15 minutes ago -
Mr. Brown hired Lowe's Maintenance Services Limited to repair
and paint the exterior wall of his...
asked 16 minutes ago -
When might an index slow down the overall performance of the
database? Choose the best answer....
asked 21 minutes ago -
Due to a recession, expected inflation this year is only 2.25%.
However, the inflation rate in...
asked 22 minutes ago -
Write four functions: (IN PYTHON 3)
1) bound(l) - given a list of integers l, compute...
asked 24 minutes ago -
A quarterback throws a football. When the football leaves his
hand, it has a horizontal velocity...
asked 32 minutes ago -
he term "reproductive isolation mechanism" refers to
inability of a species to continue reproduction
specific areas...
asked 35 minutes ago -
In a certain binary-star system, each star has the same mass
which is 4.4 times of...
asked 39 minutes ago