Question

3. It was desired to compare the proportion of males and females that had a tattoo. I entered the data into Statistix and created the following printout. a. Sample Size Successes Proportion Sample 1 172 33 0.19186 Sample 2 108 45 0.42593 Difference -0.23407 Null Hypothesis: $p_1 = p_2$ Alternative $p_1 \neq p_2$ SE (difference) 0.05525 Z (uncorrected) 4.24 P 0.0000 90% Confidence Interval of Difference -0.34661 $p_1 - p_2$ -0.14152 Use the confidence interval to make a statement about the relationship between these two proportions (in the words of the problem)? Make sure to include your reliability level in your answer. (2 points) We are 90% confident that the proportions of all females who have a tattoo exceeds the proportion of all males that have a tattoo. b. State the rejection region you would use if you wanted to conduct a two-tailed test of hypothesis. You select a value for alpha. (2 points) At $\alpha = 0.05$, we reject $H_0$ if $|Z| \ge$ [NUMBER] c. What sample size criteria was used to determine that this is a large sample problem. Simply state the criteria used, you don't need to show the math. (2 points) $Z > z_{\alpha/2}$ or $Z < -z_{\alpha/2}$

          3.
It was desired to compare the proportion of males and females that had a tattoo. I entered the
data into Statistix and created the following printout.
a.
Sample
Size
Successes
Proportion
Sample 1
172
33
0.19186
Sample 2
108
45
0.42593
Difference
-0.23407
Null Hypothesis: $p_1 = p_2$
Alternative
$p_1 \neq p_2$
SE (difference) 0.05525
Z (uncorrected) 4.24
P 0.0000
90% Confidence Interval of Difference
-0.34661 $p_1 - p_2$ -0.14152
Use the confidence interval to make a statement about the relationship between these two
proportions (in the words of the problem)? Make sure to include your reliability level in
your answer. (2 points)
We are 90% confident that the proportions of all females who have a tattoo
exceeds the proportion of all males that have a tattoo.
b.
State the rejection region you would use if you wanted to conduct a two-tailed test of
hypothesis. You select a value for alpha. (2 points)
At $\alpha = 0.05$, we reject $H_0$ if $|Z| \ge$ [NUMBER]
c.
What sample size criteria was used to determine that this is a large sample problem. Simply
state the criteria used, you don't need to show the math. (2 points)
$Z > z_{\alpha/2}$ or $Z < -z_{\alpha/2}$

3.
It was desired to compare the proportion of males and females that had a tattoo. I entered the
data into Statistix and created the following printout.
a.
Sample
Size
Successes
Proportion
Sample 1
172
33
0.19186
Sample 2
108
45
0.42593
Difference
-0.23407
Null Hypothesis: p1 = p2
Alternative
p1 ≠ p2
SE (difference) 0.05525
Z (uncorrected) 4.24
P 0.0000
90% Confidence Interval of Difference
-0.34661 p1 - p2 -0.14152
Use the confidence interval to make a statement about the relationship between these two
proportions (in the words of the problem)? Make sure to include your reliability level in
your answer. (2 points)
We are 90% confident that the proportions of all females who have a tattoo
exceeds the proportion of all males that have a tattoo.
b.
State the rejection region you would use if you wanted to conduct a two-tailed test of
hypothesis. You select a value for alpha. (2 points)
At α = 0.05, we reject H0 if |Z| ≥ [NUMBER]
c.
What sample size criteria was used to determine that this is a large sample problem. Simply
state the criteria used, you don't need to show the math. (2 points)
Z > zα/2 or Z < -zα/2

Added by Michael P.

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