Question

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 hypothesis

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.50

H_{a} : p > 0.50

= x / n = 0.51

P_{0} = 0.50

1 - P_{0} = 0.50

Test statistic = z

=
- P_{0} / [P_{0
*} (1 - P_{0} ) / n]

= 0.51 - 0.50/ [(0.50 * 0.50) / 65]

= 0.16

Test statistic < critical value

= 0.025

Z _{0.025} = -1.96

Fail to reject the null hypothesis .

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...

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: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...

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
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 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)

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:...

Test the claim that the proportion of people who own cats is
smaller than 70% at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:μ=0.7H0:μ=0.7
H1:μ≠0.7H1:μ≠0.7
H0:p≤0.7H0:p≤0.7
H1:p>0.7H1:p>0.7
H0:p≥0.7H0:p≥0.7
H1:p<0.7H1:p<0.7
H0:μ≤0.7H0:μ≤0.7
H1:μ>0.7H1:μ>0.7
H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7
H0:μ≥0.7H0:μ≥0.7
H1:μ<0.7H1:μ<0.7
The test is:
left-tailed
two-tailed
right-tailed
Based on a sample of 300 people, 65% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis

Test the claim that the proportion of men who own cats is
significantly different than the proportion of women who own cats
at the 0.2 significance level.
The null and alternative hypothesis would be:
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:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF
H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF
H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF
Correct
The test is:
left-tailed
two-tailed
right-tailed
Correct
Based on a sample of 20 men, 25% owned cats
Based on a sample of 40 women, 45% owned cats
The test statistic is: (to 2 decimals)...

Test the claim that the proportion of people who own cats is
smaller than 10% at the 0.05 significance level.
The null and alternative hypothesis would be:
H0:p≥0.1H0:p≥0.1
H1:p<0.1H1:p<0.1
H0:p=0.1H0:p=0.1
H1:p≠0.1H1:p≠0.1
H0:μ≤0.1H0:μ≤0.1
H1:μ>0.1H1:μ>0.1
H0:p≤0.1H0:p≤0.1
H1:p>0.1H1:p>0.1
H0:μ≥0.1H0:μ≥0.1
H1:μ<0.1H1:μ<0.1
H0:μ=0.1H0:μ=0.1
H1:μ≠0.1H1:μ≠0.1
The test is:
right-tailed
left-tailed
two-tailed
Based on a sample of 100 people, 9% owned cats
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis

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