Question

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 ≥ 0.9 H 1 : p < 0.9 H 0 : μ ≥ 0.9 H 1 : μ < 0.9 The test is: two-tailed left-tailed right-tailed Based on a sample of 300 people, 95% 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

Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.90

H_{a} : p
0.90

= 0.95

Test statistic = z

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

= 0.95 - 0.90 / [(0.90 * 0.10) / 300]

= 2.89

P(z > 2.89) = 1 - P(z < 2.89) = 0.0039

P-value = 0.004

= 0.01

P-value <

Reject the null hypothesis .

Test the claim that the proportion of people who own cats is
significantly different than 20% at the 0.01 significance
level.
The alternative hypothesis would be:
μ>0.2
p≠0.2
μ≠0.2
p>0.2
p<0.2
μ<0.2
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 500 people, 16% 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
The conclusion is:
At the...

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 people who own cats is
smaller than 70% at the 0.10 significance level.
The null and alternative hypothesis would be: H 0 : p ≤ 0.7 H 1
: p > 0.7 H 0 : p = 0.7 H 1 : p ≠ 0.7 H 0 : μ = 0.7 H 1 : μ ≠
0.7 H 0 : μ ≥ 0.7 H 1 : μ < 0.7 H 0 : μ ≤...

Test the claim that the proportion of people who own cats is
larger than 30% at the 0.01 significance level.
The null and alternative hypothesis would be:
The test is: right-tailed two-tailed left-tailed
Based on a sample of 600 people, 33% owned cats The test
statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we: (a)Fail to reject the null hypothesis or
(b)Reject the null hypothesis

Test the claim that the proportion of men who own cats is
smaller than 80% at the .05 significance level. The null and
alternative hypothesis would be: H 0 : μ = 0.8 H 1 : μ < 0.8 H 0
: p = 0.8 H 1 : p ≠ 0.8 H 0 : μ = 0.8 H 1 : μ > 0.8 H 0 : p =
0.8 H 1 : p > 0.8 H 0 : μ =...

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 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 people who own cats is
smaller than 80% at the 0.05 significance level. The null and
alternative hypothesis would be: H 0 : μ = 0.8 H 1 : μ ≠ 0.8 H 0 :
p ≥ 0.8 H 1 : p < 0.8 H 0 : μ ≤ 0.8 H 1 : μ > 0.8 H 0 : p =
0.8 H 1 : p ≠ 0.8 H 0 : μ ≥...

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:...

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:...

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