Question

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 decimals)

Based on this we:

A) Fail to reject the null hypothesis

B) Reject the null hypothesis

Answer #1

Here claim is that the proportion of men who own cats is significantly different than 70%

So hypothesis is F) H0:p=0.7 vs H1:p≠0.7

As alternative hypothesis is having inequality sign so it is

B) two-tailed

Hence test statistics is

The z-critical values for a two-tailed test, for a significance level of α=0.2

zc=−1.28 and zc=1.28

*Graphically*

The positive critical value is: 1.28

As test statistics do not fall in the rejection region answer here is

A) 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 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 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
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 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 men who own cats is
smaller than the proportion of women who own cats at the .05
significance level.
The null and alternative hypothesis would be: H0:?M=?F H1:?M??F
H0:pM=pF H1:pM?F H0:pM=pF H1:pM?pF H0:pM=pF H1:pM>pF H0:?M=?F
H1:?M<?F
The test is: two-tailed left-tailed right-tailed Based on a
sample of 80 men, 45% owned cats Based on a sample of 80 women, 65%
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 the proportion of women who own cats
at the 0.01 significance level. The null and alternative hypothesis
would be: H 0 : μ M = μ F H 1 : μ M ≠ μ F H 0 : p M = p F H 1 : p M
> p F H 0 : p M = p F H 1 : p M ≠...

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

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...

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