A 0.10.1 significance level is used for a hypothesis test of the claim that when
ID: 3320848 • Letter: A
Question
A
0.10.1
significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is
lessless
than 0.5. Assume that sample data consists of
4545
girls in
100100
births, so the sample statistic of
StartFraction 9 Over 20 EndFraction920
results in a z score that is 1 standard deviation
belowbelow
0. Complete parts (a) through (h) below.Click here to view page 1 of the Normal table.
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Click here to view page 2 of the Normal table.
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a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.
A.
Upper H 0H0:
pequals=0.5
Upper H 1H1:
pgreater than>0.5
B.
Upper H 0H0:
pequals=0.5
Upper H 1H1:
pnot equals0.5
C.
Upper H 0H0:
pnot equals0.5
Upper H 1H1:
pless than<0.5
D.
Upper H 0H0:
pequals=0.5
Upper H 1H1:
pless than<0.5
Your answer is correct.b. What is the value of
alpha?
alphaequals=0.1 0.1
(Type an integer or a decimal.)
c. What is the sampling distribution of the sample statistic?
Normal distribution
This is the correct answer.
chi squared2
Student (t) distribution
Your answer is not correct.
d. Is the test two-tailed, left-tailed, or right-tailed?
Two-tailed
Your answer is not correct.
LeftLeft-tailed
This is the correct answer.
RightRight-tailed
e. What is the value of the test statistic?
The test statistic is
nothing .
(Type an integer or a decimal.)
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p < 0.5
Hypothesis test results:
Hence,
Test statistic = -1
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 45 100 0.45 0.05 -1 0.1587Related Questions
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