Question

Test the claim that the proportion of men who own cats is larger than 90% at the .05 significance level.

The null and alternative hypothesis is:

H0:p=0.9

H1:p>0.9

Based on a sample of 80 people, 99% owned cats

**The test statistic is: _______** (to 2
decimals)

**The critical value is: _______** (to 2 decimals)

Answer #1

The test statistic z = (p - P)/sqrt(P(1 - P)/n)

= (0.99 - 0.9)/sqrt(0.9 * 0.1/80)

= 2.68

At 0.05 significance level, the critical value is
z_{0.95} = 1.65

Test the claim that the proportion of men who own cats is larger
than 50% at the .025 significance level.
The null and alternative hypothesis would be:
H0:μ=0.5H0:μ=0.5
H1:μ>0.5H1:μ>0.5
H0:p=0.5H0:p=0.5
H1:p>0.5H1:p>0.5
H0:μ=0.5H0:μ=0.5
H1:μ≠0.5H1:μ≠0.5
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H0:p=0.5H0:p=0.5
H1:p<0.5H1:p<0.5
H0:μ=0.5H0:μ=0.5
H1:μ<0.5H1:μ<0.5
The test is:
two-tailed
left-tailed
right-tailed
Based on a sample of 65 people, 51% owned cats
The test statistic is: (to 2 decimals)
The critical value is: (to 2 decimals)
Based on this we:
Fail to reject the null hypothesis
Reject the null...

Test the claim that the proportion of people who own cats is
smaller than 90% at the 0.025 significance level.
The null and alternative hypothesis would be:
H0:p≥0.9
H1:p<0.9
left-tailed
Based on a sample of 200 people, 84% owned cats
1) The test statistic is: _____?______
2) The p-value is: _____?______

Test the claim that the proportion of men who own cats is
smaller than the proportion of women who own cats at the .01
significance level.
The null and alternative hypothesis would be:
H0:μM=μF
H1:μM≠μF
H0:pM=pF
H1:pM>pF
H0:μM=μF
H1:μM<μF
H0:μM=μF
H1:μM>μF
H0:pM=pF
H1:pM<pF
H0:pM=pF
H1:pM≠pF
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 60 men, 40% owned cats
Based on a sample of 40 women, 50% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to...

1) Test the claim that the proportion of men who own cats is
significantly different than 70% at the 0.1 significance
level.
a) The null and alternative hypothesis would be:
H0:p=0.7
7H1:p<0.7
H0:μ=0.7
H1:μ>0.7
H0:p=0.7
H1:p>0.7
H0:μ=0.7
H1:μ≠0.7
H0:μ=0.7
H1:μ<0.7
H0:p=0.7
H1:p≠0.7
b)The test is:
2) Based on a sample of 70 people, 78% owned cats
a) The test statistic is: ______ (to 2 decimals)
b) The positive critical value is: ________ (to 2 decimals)
c) Based on this we:...

13. Test the claim that the proportion of men who own cats is
larger than 18% at the .005 significance level.
The null and alternative hypothesis would be:
A) H0:μ=0.18 H1:μ<0.18
B) H0:μ=0.18 H1:μ>0.18
C) H0:μ=0.18 H1:μ≠0.18
D) H0:p=0.18 H1:p≠0.18
E) H0:p=0.18 H1:p<0.18
F) H0:p=0.18 H1:p>0.18
The test is: left-tailed two-tailed
right-tailed
Based on a sample of 50 people, 16%16 owned cats
The p-value is: _______(to 2 decimals)
Based on this we:
A) Reject the null hypothesis
B) Fail to reject...

Test the claim that the proportion of men who own cats is
smaller than the proportion of women who own cats at the .01
significance level.
The null and alternative hypothesis would be:
H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF
H0:μM=μFH0:μM=μF
H1:μM≠μFH1:μM≠μF
H0:pM=pFH0:pM=pF
H1:pM≠pFH1:pM≠pF
H0:μM=μFH0:μM=μF
H1:μM>μFH1:μM>μF
H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF
H0:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 40 men, 35% owned cats
Based on a sample of 60 women, 55% owned cats
The test statistic is: (to 2 decimals)
The critical value...

Test the claim that the proportion of men who own cats is larger
than 23% at the .025 significance level.
The null and alternative hypothesis would be:
a. H0:μ=0.23H0:μ=0.23
H1:μ>0.23H1:μ>0.23
b. H0:p=0.23H0:p=0.23
H1:p≠0.23H1:p≠0.23
c. H0:μ=0.23H0:μ=0.23
H1:μ≠0.23H1:μ≠0.23
d. H0:p=0.23H0:p=0.23
H1:p>0.23H1:p>0.23
e.H0:μ=0.23H0:μ=0.23
H1:μ<0.23H1:μ<0.23
f. H0:p=0.23H0:p=0.23
H1:p<0.23H1:p<0.23
The test is:
a. right-tailed
b. two-tailed
c. left-tailed
Based on a sample of 50 people, 16%16% owned cats
The p-value is: (to 2 decimals)
Based on this we:
a. Reject the null hypothesis
b. Fail to reject...

1) Test the claim that the proportion of people who own cats is
smaller than 80% at the 0.01 significance level.
a) The null and alternative hypothesis would be:
H0:p=0.8
H1:p≠0.8
H0:μ=0.8
H1:μ≠0.8
H0:μ≤0.8
H1:μ>0.8
H0:p≥0.8
H1:p<0.8
H0:μ≥0.8
H1:μ<0.8
H0:p≤0.8
H1:p>0.8
b) The test is:
2) Based on a sample of 500 people, 75% owned cats
a) The test statistic is: ________ (to 2 decimals)
b) The p-value is: _________ (to 2 decimals)
3) Based on this we:
Reject the...

Test the claim that the proportion of men who own cats is
significantly different than 70% at the 0.2 significance
level.
The null and alternative hypothesis would be:
A) H0:μ=0.7H0:μ=0.7
H1:μ>0.7H1:μ>0.7
B) H0:μ=0.7H0:μ=0.7
H1:μ≠0.7H1:μ≠0.7
C) H0:μ=0.7H0:μ=0.7
H1:μ<0.7H1:μ<0.7
D) H0:p=0.7H0:p=0.7
H1:p>0.7H1:p>0.7
E) H0:p=0.7H0:p=0.7
H1:p<0.7H1:p<0.7
F) H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7
The test is:
A) right-tailed
B) two-tailed
C) left-tailed
Based on a sample of 35 people, 66% owned cats
The test statistic is: ____ (to 2 decimals)
The positive critical value is:____ (to 2...

Test the claim that the proportion of men who own cats is larger
than 15% at the .10 significance level.
In a random sample of 80 men, 53 men owned cats.
what is the P-value? (to 4 decimals).

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