Question

9) The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

A) There is sufficient evidence to support the claim that the mean attendance is less than 523.

B) There is sufficient evidence to support the claim that the mean attendance is greater than than 523.

C) There is not sufficient evidence to support the claim that the mean attendance is greater than 523.

D) There is not sufficient evidence to support the claim that the mean attendance is less than 523.

part b) A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

A) There is sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz.

B) There is not sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz.

C) There is not sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz.

D) There is sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz.

part c) An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 225 fathers from Littleton, yielded 97 who did not help with child care. Find the P-value for a test of the researcher's claim.

A) 0.0529

B) 0.0019

C) 0.0015

D) 0.0038

part d) Find the P-value for a test of the claim that less than 50% of the people following a particular diet will experience increased energy. Of 100 randomly selected subjects who followed the diet, 47 noticed an increase in their energy level.

A) 0.2743

B) 0.5486

C) 0.2257

D) 0.7257

part e) A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer, located in Omaha, feels the estimate is too low for households in Omaha. Find the P-value for a test of the claim that the proportion with lawn mowers in Omaha is higher than 65%. Among 497 randomly selected homes in Omaha, 340 had one or more lawn mowers.

A) 0.1118

B) 0.0252

C) 0.0559

D) 0.0505

Answer 1

9)
C) There is not sufficient evidence to support the claim that the mean attendance is greater than 523.

10)

D) There is sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz.

11)

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.431 - 0.34)/sqrt(0.34*(1-0.34)/225)
z = 2.89

P-value Approach
P-value = 0.0019

12)

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.47 - 0.5)/sqrt(0.5*(1-0.5)/100)
z = -0.6

P-value Approach
P-value = 0.2743

13)

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.6841 - 0.65)/sqrt(0.65*(1-0.65)/497)
z = 1.59

P-value Approach
P-value = 0.0559