Question

A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the distribution? Explain. Yes, n·p and n·q are both less than 5. No, n·p is greater than 5, but n·q is less than 5. Yes, n·p and n·q are both greater than 5. No, n·p and n·q are both less than 5. No, n·q is greater than 5, but n·p is less than 5. (b) State the hypotheses. H0: p = 0.5; H1: p ≠ 0.5 H0: p < 0.5; H1: p = 0.5 H0: p = 0.5; H1: p > 0.5 H0: p = 0.5; H1: p < 0.5 (c) Compute . (Enter a number.) p hat = Compute the corresponding standardized sample test statistic. (Enter a number. Round your answer to two decimal places.) (d) Find the P-value of the test statistic. (Enter a number. Round your answer to four decimal places.)

Answer #1

A random sample of 20 binomial trials resulted in 8 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.
(a) Can a normal distribution be used for the p hat
distribution? Explain.
No, n·p and n·q are both less than 5.
No, n·p is greater than 5, but n·q is less than 5.
No, n·q is greater than 5, but n·p is less than 5.
Yes, n·p and...

A random sample of 30 binomial trials resulted in 12 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.
(a) Can a normal distribution be used for
the distribution? Explain.
Yes, n·p and n·q are both greater than 5
.No, n·p and n·q are both less than
5.
Yes, n·p and n·q are both less than 5
.No, n·p is greater than 5, but n·q is less
than 5....

A random sample of 20 binomial trials resulted in 8 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.
(a) Can a normal distribution be used for the p̂
distribution? Explain.
Yes, np and nq are both greater than 5.No,
np and nq are both less than
5. No, np is greater than 5, but
nq is less than 5.Yes, np and nq are
both less than 5.No, nq...

A random sample of 40 binomial trials resulted in 16 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.
(a) Can a normal distribution be used for the p̂
distribution? Explain.
No, nq is greater than 5, but np is less than
5.Yes, np and nq are both greater than
5. No, np is greater than 5, but
nq is less than 5.No, np and nq are both
less...

A random sample of 20 binomial trials resulted in 8 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.
(1) Compute p̂.
(2) Compute the corresponding standardized sample test statistic.
(Round your answer to two decimal places.)
(3) Find the P-value of the test statistic. (Round your
answer to four decimal places.)
Recall that Benford's Law claims that numbers chosen from very
large data files tend to have...

Question #1
A random sample of 20 binomial trials resulted in 8 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.A random sample of
20 binomial trials resulted in 8 successes. Test the claim that the
population proportion of successes does not equal 0.50. Use a level
of significance of 0.05.
(c) Compute p̂.
Compute the corresponding standardized sample test statistic.
(Round your answer to two decimal places.)...

A random sample of 50 binomial trials resulted in 20 successes.
Test the claim that the population proportion of successes does not
equal 0.50. Use a level of significance of 0.05.
(e)
Do you reject or fail to reject H0?
Explain.
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 reject the null hypothesis and conclude the data are not
statistically significant. At the α =...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests us.
(a) Suppose n = 28 and p = 0.37. (For each answer, enter a number.
Use 2 decimal places.) n·p = n·q = Can we approximate p̂ by a
normal distribution? Why? (Fill in the blank. There are four answer
blanks. A blank is represented by _____.) _____, p̂ _____ be
approximated by a normal random variable because _____...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests us.
(a) Suppose n = 28 and p = 0.29. (For each answer, enter a number.
Use 2 decimal places.) n·p = n·q = Can we approximate p̂ by a
normal distribution? Why? (Fill in the blank. There are four answer
blanks. A blank is represented by _____.) _____, p̂ _____ be
approximated by a normal random variable because _____...

Suppose we have a binomial experiment in which success
is defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 42 and p = 0.40. (For each answer, enter
a number. Use 2 decimal places.)
n·p =
n·q =
Can we approximate p̂ by a normal distribution? Why?
(Fill in the blank. There are four answer blanks. A blank is
represented by _____.)
_____, p̂ _____ be approximated by a normal random
variable because _____...

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