hypotheses test

Someone wants to test the idea that more than 75% of college students like pizza. They set up the Null hypothesis the proportion of students who like pizza is less than or equal to 0.75. Their alternative hypothesis is that the proportion of students who like pizza is greater than 0.75. They set alpha=0.05, collect sample data for 900 students. and find that 79% of the students sampled say they like pizza.

1.
The hypothesis test will be
A) a left tailed test.
B) a right-tailed test.
C) a two-sided test.
2.
What is the calculated z value for the test?

A) 0.79
B) 1.77
C) 1.79
D) 2.77
3.
What is the p-value for the test?

A) 0.0028
B) 0.01
C) 0.9972
D) 0.05
4.
What should they conclude about the Null Hypothesis?

A) Reject
B) Accept
In the same study, suppose that someone else wants to test the idea that less than 4 percent of college students hate pizza. They set up the Null Hypothesis that the proportion of students who hate pizza is greater than or equal to 0.04. Their alternative hypothesis is that the proportion of students who hate pizza is less tha 0.04. They set alpha=0.05, collect sample data for 900 students. and find that 2% of the students say they hate pizza.



5.
What is the p-value for this test?
A) 0.001
B) 0.01
C) 0.05
D) 0.10
6.
What conclusion do the make about thier Null Hypothesis?

A) Reject
B) Accept
Finally they hypothesize that proportion of males who like pizza is greater than the proportion of females who like pizza. The Null Hypothesis is that the proportion(males) = proportion(females) and thier Alternative hypothesis is that proportion(males) is not equal to proportion(females) who like pizza. They set alpha=0.05, collect sample data for 900 students, 475 of which are males (n1) and 425 of which are females (n2). They find that 81% of the male students say they like pizza, and 77% of female students like pizza. (Note: You will need to first find the estimate of the common or pooled proportion ("phat"), and that the p-value for this test requires multiplying the table probability by 2. See pages 477-488 in the text for the calculation of the test statistic and the p-value.)



7.
What is the p-value for this hypothesis test?

A) 0.05
B) 0.01
C) 0.066
D) 0.13
8.
What should they conclude about the proportion of males vs. females who like pizza?
A) There is no significant difference between the proportion of males and females who like pizza.
B) There is a significant difference between the proportion of males vs. females who like pizza.