(question 1 )2000, National data suggested that 26% of all U.S. businesses were owned by women. In 2009, a consulting firm surveyed a random sample of 700 U.S. businesses and found that 28% of them were owned by women. Is this evidence of an increase in the percentage of businesses that are owned by women in the U.S?

Write your hypothesis on a separate sheet of paper and perform the test.

Find the P-value for the test and, based on your P-value, what should be your decision forH0.

Due to the different methods, round your P-value to 2 decimal places.

P-value = 0.04 , RejectH₀

P-value = 0.04 , Fail to rejectH₀

P-value = 0.11 , Fail to rejectH₀

P-value = 0.11 , RejectH₀

(question 2)In 2009, a consulting firm surveyed a random sample of 700 U.S. businesses and found that 28% of them were owned by women.

Create a 90% confidence interval for the true proportion of U.S. businesses that are owned by women.

Due to the different methods, round your interval values to 2 decimal places.

(0.19 , 0.28)

(0.27 , 0.29)

(0.21 , 0.36)

(0.25 , 0.31)

( question 3) Recall from question #1:

In 2009, a consulting firm surveyed a random sample of 700 U.S. businesses and found that 28% of them were owned by women.

You were asked to create a 90% confidence interval for the true proportion of U.S. businesses that are owned by women.

How many U.S. businesses must we sample to increase our confidence level to 95%, while reducing the margin of error to only 0.02?

Do not usep^=0.5and round your answer up to the nearest whole number.

1937

1866

1541

1203