Question

In: Math

1) A friend of yours suggests that at least 10% of people at your university have...

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

Solutions

Expert Solution

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


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