1. a) According to a University Center for Logistics Management, 5% of all merchandise sold in the United States gets returned. A Seattle department store sampled 89 items sold in January and found that 7 of the items were returned.

If you have the following null and alternative hypotheses for a test you are running:

H

0

:

p

=

0.05

H0:p=0.05

H

a

:

p

>

0.05

Ha:p>0.05

Calculate the test statistic, rounded to 3 decimal places

z

=

z=

2) According to a University Center for Logistics Management, 5% of all merchandise sold in the United States gets returned. A Seattle department store sampled 89 items sold in January and found that 7 of the items were returned.

If you have the following null and alternative hypotheses for a test you are running:

H

0

:

p

=

0.05

H0:p=0.05

H

a

:

p

>

0.05

Ha:p>0.05

Calculate the test statistic, rounded to 3 decimal places

z

=

z=

3) You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 57%. WithH₁: p<

<

57% you obtain a test statistic ofz

=

1.703

z=-1.703

. Find the p-value accurate to 4 decimal places.

p-value =