Test the claim that the proportion of men who own cats is larger than 20% at the .005 significance level. The null and alternative hypothesis would be:. A. H0: p = 0.2
Ha: p is not equal to 0.2.
B. H0: mu = 0.2
Ha: mu is not equal to 0.2.
C. H0: p = 0.2
Ha: p < 0.2.
D. H0: mu = 0.2
Ha: mu < 0.2
E. H0: mu = 0.2
Ha: mu > 0.2.
The test statistic is:.
The critical value is:.
Based on this we (to 2 decimals) (to 2 decimals):.
a. reject the null hypothesis.
b. fail to reject the null hypothesis.

Step-by-step explanation:

From the given information:

Null & Alternative hypothesis is:

Since the alternative hypothesis is less than 0.2;

Then, the test is left-tailed.

The level of significance ∝ = 0.005

Let assume that:

the sample size n of the people = 55 and there are 19 owned cats;

Then:

Test statistics:

Z = - 0.18540

Z = - 0.19

At ∝ = 0.005; the critical value

Since the value of the test statistics is greater than the critical value; then, we fail to reject i.e the null hypothesis.

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.