Question

For one binomial experiment,

n_{1} = 75

binomial trials produced

r_{1} = 45

successes. For a second independent binomial experiment,

n_{2} = 100

binomial trials produced

r_{2} = 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 Student's *t*. The number of trials is sufficiently
large.The Student's *t*. We assume the population
distributions are approximately
normal. The standard normal. The
number of trials is sufficiently large.The standard normal. We
assume the population distributions are approximately normal.

(c) State the hypotheses.

*H*_{0}: *p*_{1} =
*p*_{2}; *H*_{1}:
*p*_{1} >
*p*_{2}*H*_{0}:
*p*_{1} = *p*_{2};
*H*_{1}: *p*_{1} ≠
*p*_{2} *H*_{0}:
*p*_{1} = *p*_{2};
*H*_{1}: *p*_{1} <
*p*_{2}*H*_{0}:
*p*_{1} < *p*_{2};
*H*_{1}: *p*_{1} =
*p*_{2}

(d) Compute p̂_{1} - p̂_{2}.

p̂_{1} - p̂_{2} =

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.)

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

(f) Conclude the test.

At the α = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the α = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(g) Interpret the results.

Fail to reject the null hypothesis, there is insufficient evidence that the probabilities of success for the two binomial experiments differ.Reject the null hypothesis, there is insufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ. Reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ.Fail to reject the null hypothesis, there is sufficient evidence that the proportion of the probabilities of success for the two binomial experiments differ.

Answer #1

(f) At the α = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant

(g) Fail to reject the null hypothesis, there is insufficient evidence that the probabilities of success for the two binomial experiments differ

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
= 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) 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) Compute p̂1 - p̂2.
p̂1 - p̂2 =
(c)Compute the corresponding...

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(e)
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Explain.
At the α = 0.05 level, we reject the null hypothesis and
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A random sample of n1 = 150 people ages 16
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