Hello, I just needed help with these few statistics questions. I really appreciate the help! Thank You.

1. In 1993, researchers investigated the effect ofweed-killing herbicides on house pets. They examined 832 cats from homes where herbicides were usedregularly, diagnosing malignant lymphoma in 413 of them. Of the 149 cats from homes where no herbicides wereused, only 17 were found to have lymphoma. Find the standard error of the difference in the two proportions. Letp1be the sample proportion of cats with lymphoma from homes where herbicides were used regularly and p2be the sample proportion of cats with lymphoma from homes where no herbicides were used.

What is the standard error of the difference in the two proportions SE(p1-p2)? _________ (Round to four decimal places asneeded.)

2.An advocacy organization surveys 1217 citizens of country A and 206 of them reported being born in another country. Similarly, 221 out of 1157 citizens of country B reported being foreign-born. The researchers want to test if the proportions of foreign born are the same in country B as in country A. Complete parts a through g below.

a) What is the difference in the sample proportions, p1-p2, of foreign born residents from both countries? Assume p1 is the proportion of foreign born residents from country A and p2 is the proportion of foreign born residents from country B.

What is the difference in the sample proportions, p1-p2? ____________ (Round to three decimal places as needed.)

b) What is the pooled proportion of foreign born in both countries combined? _____________ (Round to four decimal places as needed.)

c) What is the standard error of the difference in part a? _________ (Round to four decimal places as needed.)

d) What is the value of the z-statistic?

Write the appropriate hypotheses. Let p1 be the proportion of foreign-born citizens of country A. Let p2 be the proportion of foreign-born citizens of country B. Choose the correct answer below.

e) Determine the test statistic.

(Round to two decimal places as needed.)

f) What do you conclude at .01?

Find the P-value.

P= _____ (Round to three decimal places as needed.)

g) State the conclusion. Fill in the Blanks.

(Do not reject/reject) the null hypothesis. There (is or is not) sufficient evidence to support the claim that the proportions of foreign-born citizens in country A and B are different.

3. Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic sample from 80 Store A customers and 77 Store B customers by asking customers for their purchase amount as they left the stores. The data collected is summarized by the accompanying table. Suppose researchers decide to test the hypothesis that the means are equal. The degrees of freedom formula gives 154.31 df. Test the null hypothesis at =0.01.

	Store A	Store B
n	80	77
y	41	52
s	20	18

a) Compute the test statistic.

t= _____ (Round to two decimal places as needed.)

b) Find the P-value. ______ (Round to three decimal places as needed.)

4. Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic sample from 85 Store A customers and 79 Store B customers by asking customers for their purchase amount as they left the stores. Suppose researchers decide to test the hypothesis that the means are equal. These results are summarized by the accompanying table. Repeat this test, but assume that the variances of the purchases amounts are the same at Store A and Store B. Did the conclusion change? Why do you think that is? Use .10.

	Store A	Store B
n	85	79
y	45	52
s	21	19

a) Compute the test statistic.

t= _______ (Round to two decimal places as needed.)

b) Find the P-value. _____ (Round to three decimal places as needed.)

5. Men diagnosed with cancer were randomly assigned to either undergo surgery or not. Among the 349 men who had the surgery, 17 eventually died of cancer, compared with 28 of the 345 men who did not have surgery.

a) Let p1 be the sample proportion of men who did not have surgery and died, and let p2 be the sample proportion of men who had surgery and died. Create a 95% confidence interval for the difference in rates of death for the two groups of men p1-p2.

(____ , _____) (Round to three decimal places as needed.)