A 0.1 significance level is used for a hypothesis test of the claim that when pa
ID: 3318471 • Letter: A
Question
A 0.1 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 less than 0.5. Assume that sample data consists of 36 girls in 81 births, so the sample statistic of 4/9 results in a z score that is 1 standard deviation below 0.
Complete parts (a) through (h) below.Click here to view page 1 of the Normal table.
a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.
A. Upper H 0H0:p=0.5 Upper H 1H1:p>0.5
B. Upper H 0H0: p=0.5 Upper H 1H1: p<0.5
C. Upper H 0H0: p=0.5 Upper H 1H1: p0.5
D. Upper H 0H0: p0.5 Upper H 1H1: p<0.5
b. What is the value of ?
=
(Type an integer or a decimal.)
c. What is the sampling distribution of the sample statistic?
Student (t) distribution
Normal distribution
2
d. Is the test two-tailed, left-tailed, or right-tailed?
LeftLeft-tailed
Two-tailed
Right-tailed
e. What is the value of the test statistic?
The test statistic is
f. What is the P-value?
The P-value is
g. What are the critical value(s)?
The critical value(s) is/are
h. What is the area of the critical region?
The area is
Explanation / Answer
a) Here null hypothesis is p = 0.5.
And alternate hypothesis is p < 0.5
So b option is the correct answer.
b) The value of significance level alpha is given as 0.1.
c) This can be termed as normal distribution as sample size is greater than 30.
d) This test is left tailed.
e) The test statistic is given as z = -1.
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