Question

For one binomial experiment, n1 = 75 binomial trials produced r1 = 30 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 50 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) Compute p̂_{1} - p̂_{2}.

p̂_{1} - p̂_{2} =

(c)Compute the corresponding sample distribution value. (Test the
difference *p*_{1} − *p*_{2}. Do not
use rounded values. Round your final answer to two decimal
places.)

(d) Find the *P*-value of the sample test statistic. (Round
your answer to four decimal places.)

Answer #1

a) =0.457 (answer to three decimal places)

b)

c)

Z= -1.31 (answer to three decimal places)

d) The p-value is p = 0.1888, and since p=0.1888≥0.05, it is concluded that the null hypothesis is not rejected

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population proportion p1 is different than p2 , at the 0.05 significance level.

For one binomial experiment, n1 = 75 binomial trials
produced r1 = 45 successes. For a second independent
binomial experiment, n2 = 100 binomial trials produced
r2 = 65 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) Compute p̂1 - p̂2.
p̂1 - p̂2 =
(c) Compute the...

For one binomial experiment,
n1 = 75
binomial trials produced
r1 = 45
successes. For a second independent binomial experiment,
n2 = 100
binomial trials produced
r2 = 65
successes. At the 5% level of significance, test the claim that
the probabilities of success for the two binomial experiments
differ.
(d) Compute p̂1 - p̂2. p̂1 - p̂2 =
Compute the corresponding sample distribution value. (Test the
difference p1 − p2. Do not use rounded values. Round your final
answer...

For one binomial experiment, n1 = 75 binomial trials produced r1
= 30 successes. For a second independent binomial experiment, n2 =
100 binomial trials produced r2 = 50 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....

For one binomial experiment,
n1 = 75
binomial trials produced
r1 = 30
successes. For a second independent binomial
experiment,
n2 = 100
binomial trials produced
r2 = 50
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....

For one binomial experiment, n1 = 75 binomial trials
produced r1 = 45 successes. For a second independent
binomial experiment, n2 = 100 binomial trials produced
r2 = 65
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....

For one binomial experiment,
n1 = 75
binomial trials produced
r1 = 45
successes. For a second independent binomial experiment,
n2 = 100
binomial trials produced
r2 = 65
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.
The...

Independent random samples of
n1 = 900 and n2 = 900
observations were selected from binomial populations 1 and 2,
and
x1 = 120
and
x2 = 150
successes were observed.
(a)
What is the best point estimator for the difference
(p1 − p2)
in the two binomial proportions?
p̂1 − p̂2
n1 −
n2
p1 − p2
x1 − x2
(b)
Calculate the approximate standard error for the statistic used
in part (a). (Round your answer to three decimal...

Two samples are taken with the following numbers of successes
and sample sizes r1 = 40 r2= 35 n1 = 57 n2= 89 Find a 88%
confidence interval, round answers to the nearest thousandth.
____< p1−p2 <____

Two samples are taken with the following numbers of successes
and sample sizes
r1 = 27 r2 = 37
n1 = 84 n2 = 54
Find a 96% confidence interval, round answers to the nearest
thousandth.
< p1−p2 <

Independent random samples of n1 = 100 and
n2 = 100 observations were randomly selected
from binomial populations 1 and 2, respectively. Sample 1 had 51
successes, and sample 2 had 56 successes.
b) Calculate the standard error of the difference in the two
sample proportions, (p̂1 − p̂2). Make sure to
use the pooled estimate for the common value of p. (Round
your answer to four decimal places.)
d)p-value approach: Find the p-value for the
test. (Round your answer...

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