Question

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level.

left tailed right tailed two tailed

test statistic

critical value

reject or accept the null

Answer 1

SOLUTION:

From given data,

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level.

left tailed right tailed two tailed

0.10 significance level

= 0.10

critical value:

Critical Value of Z (left tailed): - 1.28

Z = Z_{0.10​​​​​​​} =  - 1.28

Critical Value of Z ( right tailed) : 1.28

Z = Z_{0.10​​​​​​​​​​​​​​} = 1.28

Critical Value of Z (Two Tailed): ± 1.65

Z = Z_{0.10​​​​​​​​​​​​​​} =  ± 1.65

test statistic:

test statistics of Z (left tailed): 2.86

Z = 2.86

test statistics of Z ( right tailed) : 2.86

_{Z ​​​​​​​​​​​​​​} = 2.86

test statistics of Z (Two Tailed): 2.86

Z = 2.86

reject or accept the null

(left tailed) : reject the null

( right tailed) :reject the null

(Two Tailed): reject the null

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