his Question 18 pts This Test 250 pts Time ng 012108 22 of 2

his Question: 18 pts This Test: 250 pts Time ng: 01:21:08 22 of 23 complete A humane society claims that less than 35% of US. households own a dog. In a random sample of 399 US households, 155 say they own a dog At -0.03 is there enough evidence to support the society\'s claim? (a) Write the claim mathematically and identify Ho and Ha (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether t reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. (a) Which of the following correctly states Ho and H,? OA, Ho: p-0.35 OC. Ho: p0.35 OD. Ho: p20.3 H,: p0.35 H,: p2 0.35 The critical value(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Which of the following graphs has the rejection region(s) shaded correctly? B. Oc. OA.

Solution

1)

c)

Ho: u < 0.35

Ha ; u >0.35

critical values

P(Z >z) = 0.03

=>

z = 1.8808

the correct shaded graph is c)

test statistic = 155/399 - 0.35 / sqrt ( 155/399 * 244/399 * 1/399)

= 1.577

fail to reject Ho since test statistic is less than critical value

there is enough evidence to support the claim that 35% own dog