1 Test the claim that the proportion of people who own cats is significantly dif
ID: 3351751 • Letter: 1
Question
1 Test the claim that the proportion of people who own cats is significantly different than 30% at the 0.02 significance level.
The null and alternative hypothesis would be:
a H0:=0.3H0:=0.3
H1:0.3H1:0.3
b H0:0.3H0:0.3
H1:>0.3H1:>0.3
c H0:0.3H0:0.3
H1:<0.3H1:<0.3
d H0:p0.3H0:p0.3
H1:p>0.3H1:p>0.3
e H0:p=0.3H0:p=0.3
H1:p0.3H1:p0.3
f H0:p0.3H0:p0.3
H1:p<0.3H1:p<0.3
The test is:
A right-tailed
B two-tailed
C left-tailed
Based on a sample of 400 people, 25% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
A Reject the null hypothesis
B Fail to 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 = 0.3
HA : p 0.3
Hypothesis test results:
Hence,
Hypotheses:
H0: p = 0.3
H1: p 0.3
The test is two - tailed.
Test statistic = -2.18
P - value = 0.03
Fail to reject the null hypothesis
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 100 400 0.25 0.022912878 -2.1821789 0.0291Related Questions
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