4. Test the claim that the proportion of men who own cats is significantly diffe
ID: 3351748 • Letter: 4
Question
4. Test the claim that the proportion of men who own cats is significantly different than 60% at the 0.01 significance level.
The null and alternative hypothesis would be:
A H0:p=0.6H0:p=0.6
H1:p0.6H1:p0.6
B H0:p=0.6H0:p=0.6
H1:p<0.6H1:p<0.6
C H0:=0.6H0:=0.6
H1:<0.6H1:<0.6
D H0:=0.6H0:=0.6
H1:>0.6H1:>0.6
E H0:p=0.6H0:p=0.6
H1:p>0.6H1:p>0.6
F H0:=0.6H0:=0.6
H1:0.6H1:0.6
The test is:
A left-tailed
B two-tailed
C right-tailed
Based on a sample of 45 people, 59% owned cats
The test statistic is: (to 2 decimals)
The positive critical value is: (to 2 decimals)
Based on this we:
A Fail to reject the null hypothesis
B Reject the null hypothesis
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.6
HA : p 0.6
Hypothesis test results:
Hence,
Hypotheses:
H0: p = 0.6
H1:p 0.6
Option A is correct.
The test is two - tailed.
Test statistic = -0.14
P - value = 0.8911
Positive critical value = 2.58
Fail to reject the null hypothesis
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 26.55 45 0.59 0.073029674 -0.13693064 0.8911Related Questions
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