Question

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 ≤ 0.7 H 1 : μ > 0.7 H 0 : p ≥ 0.7 H 1 : p < 0.7

The test is: right-tailed left-tailed two-tailed Based on a sample of 500 people, 69% owned cats

The test statistic is: (to 2 decimals) The p-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 left tailed test .

The null and alternative hypothesis is

H0 : p = 0.70

Ha : p < 0.70

= 0.69

n = 500

P0 = 0.70

1 - P0 = 1 -0.70 =0.30

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

=0.69 - 0.70 / [0.70*(0.30) /500 ]

= -0.49

P(z < -0.49) = 0.3121 = 0.31

P-value = 0.31

= 0.10

0.31 > 0.10

Fail to 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:
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 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 people who own cats is
larger than 10% at the 0.10 significance level. The null and
alternative hypothesis would be: H 0 : p ≤ 0.1 H a : p > 0.1 H 0
: μ ≤ 0.1 H a : μ > 0.1 H 0 : μ = 0.1 H a : μ ≠ 0.1 H 0 : p =
0.1 H a : p ≠ 0.1 H 0 : p ≥...

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 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 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 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

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

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

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...

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