Question

1)Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .01 significance level.

The null and alternative hypothesis would be:

H0:μM=μFH0:μM=μF
H1:μM<μFH1:μM<μF

H0:pM=pFH0:pM=pF
H1:pM<pFH1:pM<pF

H0:pM=pFH0:pM=pF
H1:pM>pFH1:pM>pF

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

Correct

The test is:

right-tailed

two-tailed

left-tailed

Correct

Based on a sample of 80 men, 30% owned cats
Based on a sample of 60 women, 45% 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

2)Test the claim that the proportion of people who own cats is smaller than 40% at the 0.10 significance level.

The null and alternative hypothesis would be:

H0:μ≥0.4H0:μ≥0.4
H1:μ<0.4H1:μ<0.4

H0:p=0.4H0:p=0.4
H1:p≠0.4H1:p≠0.4

H0:p≥0.4H0:p≥0.4
H1:p<0.4H1:p<0.4

H0:p≤0.4H0:p≤0.4
H1:p>0.4H1:p>0.4

H0:μ≤0.4H0:μ≤0.4
H1:μ>0.4H1:μ>0.4

H0:μ=0.4H0:μ=0.4
H1:μ≠0.4H1:μ≠0.4

Correct

The test is:

two-tailed

right-tailed

left-tailed

Correct

Based on a sample of 600 people, 33% owned cats

The test statistic is: Incorrect (to 2 decimals)

The p-value is: Incorrect (to 2 decimals)

Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

Answer 1

(4 Here we have 1, ago m = 60 P = 0:3 B=0.45 D, n, + m 80*0.3+ 60*0.45 not m 80 + 60 = 10.3643 Hypothesis Ho: um = ME Ha um <MA The test is a lyt-tailed test Test słabstics z = P - P2 0.3-0.45 1511-01 **) 1103643)(1-03643) * 60 F1.83 Pralue Pvalue at z -|-1.831 Praru - P17>1.89 -p1251.83)

(l 0 966375 = 0.033625 = 10:03 = 10.03367 Round to 4 decimal places Decision Since Pralue> a 10.02) 80, fail to reject the null Hypothesis. (2) N 2 600 p=0.33 Hypothesis Ho: AZ 0.40 Ha: p<0.40 The test is a uft failed test Teststatistics ZIP - P 0:33-0.40 10:40)11-0.40) El PIIP 10:40 n 600 = [-3.50 Pualue Pvalue at z = 1-3.501 Rralle - P1Z) 3.50) P1273.50)

= t 0.999767 correct E 0.000 233 210.00 2 decimal places. Based on this Reject the rull Hypothesis