Question 17 of 21
In a hypothesis test with hypotheses H0: mu=60 and H1: mu is not
equal to 60, a random sample of 37 elements selected from the
population produced a mean of 62.5. Assuming that sigma= 5.2 and
the population is normally distributed, what is the approximate
p-value for this test? (round your answer to four decimal
places)
A. 0.0011
B. 0.0035
C. 0.0067
D. 0.0089
Question 18 of 21
We use the t...
5. For a test of
H0 : p = p0
vs.
H1 : p <
p0,
the value of the test statistic z obs is
-1.87. What is the p-value of the hypothesis test?
(Express your answer as a decimal rounded to three decimal
places.)
6. A pilot survey reveals that a certain population proportion
p is likely close to 0.56. For a more thorough follow-up
survey, it is desired for the margin of error to be no more than...
The A hypothesis test for a population proportion p is given
below:
H0: p = 0.10
Ha: p ≠ 0.10
Sample size n = 100 and sample proportion pˆ = 0.15. z-statistic =
?
Question 4
Consider the following hypotheses:
H0: mean = 5
H1: mean < 5
A test is performed with a sample of size 25. The sample mean
was 4.67 and the population standard deviation is 1.2. Assume that
the population is approximately normal. Use the TI-84 PLUS
calculator to compute the P-value.
Question 5
Consider the following hypotheses:
H0: mean = 9
H1: mean > 9
A test is performed with a sample of size 49. The sample mean
was...
The following hypotheses are given. H0: p ≤ 0.83 H1: p > 0.83
A sample of 128 observations revealed that = 0.73. At the 0.05
significance level, can the null hypothesis be rejected?
a. State the decision rule. (Round the final answer to 3 decimal
places.) Reject CorrectH0 and and accept CorrectH1 if z>... or
z<
For each hypothesis test, state the claim in
mathematical notation, state H0 and
H1, calculate the test statistic and
p-value (unless given), state your decision about
H0 (reject or fail to reject), and state your
conclusion in terms of the original claim.
1. At a 0.05 level of significance, test Bill Bradley’s claim
that the majority of voters would vote for him. Assume that sample
data consists of 1068 randomly selected voters, 540 of whom
indicated that they would vote...
A statistician formulated a hypothesis test, specifying the
value of α, the hypotheses H0 and
Ha, and the data-collection and analysis procedures to
be used. Choose one of the following and write one or two sentences
justifying your choice:
α + β < 1
α + β = 1
α + β > 1
Any of the above might be true – more information about this
hypothesis test would be needed.
Consider the following hypothesis test. H0: = 20 H1: ≠ 20
The sample size is 200 and the standard deviation of the population
is 10. Use a = 0.05. What is the probability of making the Type
II error if the real value of the population is:
a. μ = 18.0
b. μ = 22.5
c. μ = 21.0
Question 1.
a) The P-value for a two-sided test of the null
hypothesis H0: mu = 30 is 0.08
i.) Does the 95% confidence interval include the value
of 30? Explain.
ii.) Does the 90% confidence interval include the value
of 30? Explain.
b) A 95% confidence for a population mean is
(57,65)
i.) Can you reject the null hypothesis that mu = 68 at
the 5% significance level? Explain.
ii.) Can you reject the null hypothesis that mu =...
A researcher tests H0: p = 0.30 versus H1: p > 0.30 and
obtains a P-value of 0.2514. What is the value of the standardized
(z) test statistic? (Record your answer accurate to at least the
nearest second decimal place with standard rounding.)