In: Math
1) A friend of yours suggests that at least 10% of people at your university have had something stolen from them on campus in the past year. This is your population value. You take a random sample of 100 people in you classes to determine if your friend is correct, you think that they may be wrong. You find that 15% of them have had something stolen.
Would you have a one or two tailed test?
Two Tailed
One tailed
2) What is the strength of the following correlation? -0.512
Moderate
Strong
Weak
3) A friend of yours suggests that at least 10% of people at your university have had something stolen from them on campus in the past year. This is your population value. You take a random sample of 100 people in you classes to determine if your friend is correct, you think that they may be wrong. You find that 15% of them have had something stolen.
Would you use z or t to test this hypothesis?
Z Distribution
T Distribution
1) A friend of yours suggests that at least 10% of people at your university have had something stolen from them on campus in the past year. This is your population value. You take a random sample of 100 people in you classes to determine if your friend is correct, you think that they may be wrong. You find that 15% of them have had something stolen.
Would you have a one or two tailed test?
Answer)
Null hypothesis Ho : p >=10%
Alternate hypothesis Ha : P < 10% (as alternate hypothesis is opposite of null hypothesis)
And when we have > or < symbols in alternate hypothesis then we have a one tailed test
So answer here js one tailed
2) What is the strength of the following correlation? -0.512
-1 to -0.5 we call strong correlation coefficient
So answer is strong
3) A friend of yours suggests that at least 10% of people at your university have had something stolen from them on campus in the past year. This is your population value. You take a random sample of 100 people in you classes to determine if your friend is correct, you think that they may be wrong. You find that 15% of them have had something stolen.
Would you use z or t to test this hypothesis?
Answer)
N = 100
P = 0.1 (10%)
First we need to check the conditions of normality that is if n*p and n*(1-p) both are greater than 5 or not
N*p = 10
N*(1-p) = 90
Both the conditions are met so we can use standard normal z table to estimate the answer
So the answer here is z distribution