1. A researcher is studying the effects of choices made by students entering middle school on future SAT outcomes. The researcher records the math course that the student enrolls in upon entering the sixth grade. The researcher uses SAT data for the same group of students, grouping students by college readiness. The data is displayed below.

	College Ready	Likely College Ready	Not College Ready
Grade-level	65	71	81
Honors	104	64	65
Accelerated	25	15	13

Do the data suggest that sixth grade math enrollment and SAT college readiness are related? Use a 5% level of significance.

a) Write out a null and alternate hypothesis.

b) Calculate the chi-squared test statistic:

c) What is the degree of freedom?

d) Calculate the p-value:

e) Write a conclusion in context.

f)What is the expected count for a student who entered sixth grade in an honors math class who obtained "college ready" designation based on the SAT?

2. The number of people who survived a shipwreck based on class and sex is in the table. Is there enough evidence to show that the class and the sex of a person who survived the shipwreck are dependent? Test at the 10% level.

Class	Female	Male	Total
1st	137	64	201
2nd	91	22	113
3rd	75	55	130
total	303	141	444

a) Calculate the test statistic. Round your answer to three decimal places. ² =

b)Calculate the p-value. Round your answer to four decimal places. p-value =

3. Researchers watched groups of dolphins to determine what activities the dolphins partake in at certain times of the day. The numbers in the table represent the number of groups of dolphins that were partaking in an activity at certain times of days. Is there enough evidence to show that the activity and the time period are dependent for dolphins? Test at the 5% level.

Activity	Morning	Noon	Afternoon	Evening	Total
Travel	8	7	16	14	45
Feed	30	4	1	53	88
Social	27	2	0	55	84
Total	65	13	17	122	217

a(Calculate the test statistic. Round your answer to three decimal places. ² =

b)Calculate the p-value. Round your answer to four decimal places. p-value =

4. Background: Morris Saldov conducted a study in Eastern and Central Newfoundland in 1988 to examine public attitudes towards social spending. In particular, the study tried to determine if knowing someone on public assistance (yes, no) affected one's views on social spending (too little, about right, too much). The data from the study is summarized in the table below.

	Yes	No	Total
Too little	39	7	46
About right	14	12	26
Too much	7	7	14
Total	60	26	86

Conduct a chi-square test for independence to determine if the association between knowing someone on public assistance and views on social spending is statistically significant.

a) Complete the following table of expected counts. (Round your answers to 2 decimal places).

	yes	No
Too little
About right
Too much

b)Compute the value of the test statistic. (Round your answer to 2 decimal places.) 2=

c)Compute the p-value. (Round your answer to 4 decimal places.) pp-value =

5. Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered and the gender of the person who ordered were recorded and the results are found in the table below. Use this data to test whether or not pizza topping preference is independent of gender at the =0.10=0.10 level of significance.

	Cheese	Pepperoni	Sausage	Mushroom	Veggie
Female	27	28	7	8	16
Male	15	15	16	7	4

a) Test statistic:

b) Give the P-Value ( 4 decimal places- if less than 0.001 answer 0)

c)what would be the appropriate conclusion?