Question

Suppose that you want to test the null hypothesis that one-third of all adults in your county have a tattoo, against a two-sided alternative. In other words, you'd like to assess the hypotheses:

(Ho: p = 0.33333) (Ha: p does not equal 0.33333)

For each of the following parts, create your own example of a sample of 100 people that satisfies the indicated property. Do this by providing the sample numbers with a tattoo and without a tattoo. Also report the test statistic and p-value from a one-proportion z-test.

a) Provide the sample numbers with and without a tattoo such that the two-sided p-value is less than 0.001. Report your test statistic and p-value.

b) The same as above, but so that the two-sided p-value is greater than 0.20.

Answer #1

You will perform a Two Sample Hypothesis Test for Proportions.
For the Hypothesis Test, make sure to report the following
steps:
Identify the null hypothesis, Ho, and the alternative
hypothesis, Ha. Determine whether the hypothesis test is
left-tailed, right-tailed, or two-tailed. Find the critical
value(s) and identify the rejection region(s). Find the appropriate
standardized test statistic. If convenient, use technology. Decide
whether to reject or fail to reject the null hypothesis. Interpret
the decision in the context of the original...

Hypothesis Test - One Proportion
Sample Size
400
Successes
106
Proportion 0.26500
Null Hypothesis: P = 0.25
Alternative Hyp: P ≠ 0.25
Z (uncorrected) 0.69 P
0.4884
Difference 0.01500
Standard Error 0.02207
Method
95% Confidence Interval
Simple Asymptotic
(0.22175, 0.30825)
I used Statistix to create a printout for a 95% confidence
interval (and the test below) for the proportion of all college
students that have a tattoo. Give a practical interpretation for
this interval (4 points)...

1). Conduct the appropriate hypothesis test with the following
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8.79.
Find the p-value in this example.
2). Conduct the appropriate hypothesis test with the following
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0.75 versus the...

You wish to test the following claim (HaHa) at a significance
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Ho:?=53.4
Ha:??53.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
54.6
46.8
37.4
49.0
64.7
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =

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Consider the following information and assume a 5% level of
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(1)...

Assume that the population variance is unknown. We test the
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H0: m = 0
Ha: m > 0
What are the degrees of freedom for this statistic?
What are the two critical values t* from the t-Distribution
Critical Values table that bracket this test statistic? What are
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Is the value t =...

Consider the following hypothesis test.
H0: p = 0.20
Ha: p ≠ 0.20
A sample of 400 provided a sample proportion
p = 0.185.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient
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You wish to test the following claim (HaHa) at a significance
level of ?=0.001?=0.001.
Ho:?=61.7
Ha:?>61.7
You believe the population is normally distributed, but you do not
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What is the test statistic for this sample? (Report answer accurate
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test statistic =
What is the p-value for this sample? (Report answer accurate to
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Your research supervisor wants you to test the null hypothesis
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The population has a normal distribution with a standard deviation
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a) What is the power of this test of significance under the
alternative hypothesis that the
mean μ is 53 . State your
answer to four digits to...

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