Question

Test the claim that the proportion of people who own cats is
significantly different 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: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

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

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 100 people, 3% owned cats

The p-value is: (to 2 decimals)

Based on this we:

- Fail to reject the null hypothesis
- Reject the null hypothesis

Get help: Video

Box 1: Select the best answer

Box 2: Select the best answer

Box 3: Enter your answer as an integer or decimal number.
Examples: 3, -4, 5.5172

Enter DNE for Does Not Exist, oo for Infinity

Box 4: Select the best answer

Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.10

H_{a} : p
0.10

= 0.03

n = 100

Test statistic = z

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

= 0.03 - 0.10 / [(0.10 * 0.90) / 100]

= -2.33

P(z < -2.33) = 0.0099

P-value = 2 * 0.0099 = 0.0198 = 0.02

= 0.05

P-value <

Reject the null hypothesis .

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

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
significantly different than 80% at the 0.2 significance
level.
The null and alternative hypothesis would be:
H0:p=0.8H0:p=0.8
Ha:p≠0.8Ha:p≠0.8
H0:μ≤0.8H0:μ≤0.8
Ha:μ>0.8Ha:μ>0.8
H0:μ=0.8H0:μ=0.8
Ha:μ≠0.8Ha:μ≠0.8
H0:p≥0.8H0:p≥0.8
Ha:p<0.8Ha:p<0.8
H0:μ≥0.8H0:μ≥0.8
Ha:μ<0.8Ha:μ<0.8
H0:p≤0.8H0:p≤0.8
Ha:p>0.8Ha:p>0.8
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 300 people, 82% owned cats
The p-value is: (to 2 decimals)
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis

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 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 people who own cats is
smaller than 80% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8
H0:μ=0.8H0:μ=0.8
H1:μ<0.8H1:μ<0.8
H0:μ=0.8H0:μ=0.8
H1:μ>0.8H1:μ>0.8
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:p=0.8H0:p=0.8
H1:p>0.8H1:p>0.8
H0:p=0.8H0:p=0.8
H1:p<0.8H1:p<0.8
The test is:
right-tailed
left-tailed
two-tailed
Based on a sample of 200 people, 73% owned cats
The p-value is: (to 2 decimals)
Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis

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 people who own cats is
significantly different than 90% at the 0.01 significance level.
The null and alternative hypothesis would be: H 0 : p ≤ 0.9 H 1 : p
> 0.9 H 0 : μ = 0.9 H 1 : μ ≠ 0.9 H 0 : μ ≤ 0.9 H 1 : μ > 0.9
H 0 : p = 0.9 H 1 : p ≠ 0.9 H 0 : p...

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)...

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...

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