Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level.

the null and alternative hypothesis would be:

h0: pm=pfh0: pm=pf
h1: pm
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:

two-tailed

right-tailed

left-tailed

based on a sample of 40 men, 25% owned cats
based on a sample of 40 women, 35% 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

The null and alternate hypothesis would be

H0:   pm = pf  

H1:   pm < pf  

Test is left tailed

The test statistic: z = -0.98

The p-value: 0.1365

We fail to reject the null hypothesis

Conclusion:  There is not enough evidence to support the claim that the proportion of men who own cats is less than the proportion of women who own cats

Step-by-step explanation:

The null and alternate hypothesis would be

H0:  pm = pf

Ha:  pm < pf    

because they say that the test claim is the proportion of men is smaller less than the proportion of women.  The null hypothesis always get the statement of equality (the equals sign).  In this case, the alternate hypothesis is the claim.  

The test is left tailed because the alternate hypothesis has a <  sign.  It's strictly less than a value, so it's one tailed, and the < or > sign points to the area of rejection, so in this case, it's pointing left

The test statistic is calculation is attached as a photo  

The p-value is found by looking it up on the chart using z = -0.98

Since 0.1365 > 0.005, we fail to reject the null hypothesis

Because we fail to reject the null, there is not enough evidence to support the claim

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.