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This is the first of 3 questions in this set. Wearing face masks to the grocery store A sociologist is interested in whether the proportions of adults who wear a face mask to the grocery store are different in New This is the first of 3 questions in this set. Wearing face masks to the grocery store A sociologist is interested in whether the proportions of adults who wear a face mask to the grocery store are different in New York and Houston. To study this question they take two random samples, one from New York and one from Houston. Each sample was of size 200. In New York, 180 say they wear a mask to the grocery store. In Houston, 160 say they wear a mask to the grocery store. Using the rejection region approach, test the null hypothesis that the proportions are the same in New York and Houston, against the alternative hypothesis that they are different, using a 10% significance level. The test statistic is , where New York is the X population and Houston is the Y population. Give the value of the critical value (cv), if there is one critical value, or the smaller of the two critical values (cv1), if there are two. Use sample statistic (1) stated above. Four decimals For this entire question set, use at least 5 decimals in your calculations but round to 4 decimals when giving your answers. HINT: There are two different sample statistics you could use to calculate the critical value(s). Either is correct and you will get credit for the questions in the set if you correctly use either. Flag question: Question 32 Question 323 pts Continued. Give the value of the larger critical value (cv2), if there are two critical values. Enter NA if there is only one critical value. Four decimals Flag question: Question 33 Question 332 pts What is the conclusion of the test? Group of answer choices Reject H0 in favor of HA. Fail to reject H0 (accept H0).

This is the first of 3 questions in this set.
Wearing face masks to the grocery store
A sociologist is interested in whether the proportions of adults who wear a face mask to the grocery store are different in New This is the first of 3 questions in this set.
Wearing face masks to the grocery store
A sociologist is interested in whether the proportions of adults who wear a face mask to the grocery store are different in New York and Houston. To study this question they take two random samples, one from New York and one from Houston. Each sample was of size 200. In New York, 180 say they wear a mask to the grocery store. In Houston, 160 say they wear a mask to the grocery store.
Using the rejection region approach, test the null hypothesis that the proportions are the same in New York and Houston, against the alternative hypothesis that they are different, using a 10% significance level.
The test statistic is , where New York is the X population and Houston is the Y population.
Give the value of the critical value (cv), if there is one critical value, or the smaller of the two critical values (cv1), if there are two. Use sample statistic (1) stated above. Four decimals
For this entire question set, use at least 5 decimals in your calculations but round to 4 decimals when giving your answers.
HINT: There are two different sample statistics you could use to calculate the critical value(s). Either is correct and you will get credit for the questions in the set if you correctly use either.
Flag question: Question 32
Question 323 pts
Continued. Give the value of the larger critical value (cv2), if there are two critical values. Enter NA if there is only one critical value. Four decimals
Flag question: Question 33
Question 332 pts
What is the conclusion of the test?
Group of answer choices
Reject H0 in favor of HA.
Fail to reject H0 (accept H0).

Added by Javier G.

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