A 0.01 significance level is used for a hypothesis test of the claim that when p
ID: 3375533 • Letter: A
Question
A 0.01 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 greater than 0.5. Assume that sample data consists of 45 girls in 81 births, so the sample statistic of results in a z score that is 1 standard deviation above 0. Complete parts (a) through (h) below. Click here to view page 1 of theNormal table-Click here to view page 2 of the Normal table. a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below. OA. Ho : p#0.5 B. HOP-0.5 H1:p0.5 Hop-0.5 H1: p#0.5 H:p>0.5 C. Ho: P-0.5 OD, H:p 0.5 b. What is the value of a? ?-?(Type an integer or a decimal ) c. What is the sampling distribution of the sample statistic? O Student (t) distribution O Normal distribution d. Is the test two-tailed, left-tailed, or right-tailed?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,
a) Hypotheses: Option B is correct
b) 0.01
c) Normal distribution
d) Right-tailed
e) Test statistic = 1
f) p - Value = 0.1587
g) Critical value = 2.33
h) 0.01
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 45 81 0.55555556 0.055555556 1 0.1587Related Questions
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