BUSI 230 HW 9.4 Hypothesis Tests for Proportions Assignment solutions complete answers

BUSI 230 HW 9.4 Hypothesis Tests for Proportions Assignment solutions complete answers 

 

Just put your values given and automatically provide answers for you!

 

Spam: A researcher reported that 71.8% of all email sent in a recent month was spam. A system manager at a large corporation believes that the percentage at his company may be 78%. He examines a random sample of 500 emails received at an email server, and finds that 370 of the messages are spam. Can you conclude that the percentage of emails that are spam differs from 78%? Use both =0.01 and =0.05 levels of significance and the P-value method with the TI-84 Plus calculator.

(a) State the appropriate null and alternate hypotheses.

(b) Compute the value of the test statistic. Round the answer to at least two decimal places

(c) Compute the -value. Round the answer to at least four decimal places.

(d) Determine whether to reject .

(e) State a conclusion.

 

Kids with cell phones: A marketing manager for a cell phone company claims that less than 57% of children aged 8-12 have cell phones. In a survey of 818 children aged 8-12 by a national consumers group, 450 of them had cell phones. Can you conclude that the manager's claim is true? Use the =0.05 level of significance and the P-value method with the TI-84 Plus calculator.

(a) State the appropriate null and alternate hypotheses.

Compute the test statistic. Do not round intermediate steps. Round the answer to two decimal places.

(b) Compute the P-value. Round the answer to at least four decimal places.

(c) Determine whether to reject H0.

 

Quit smoking: In a survey of 444 HIV-positive smokers, 200 reported that they had used a nicotine patch to try to quit smoking. Can you conclude that less than half of HIV-positive smokers have used a nicotine patch? Use the =0.01 level of significance and the P-value method with the TI-84 Plus calculator.

(a) State the appropriate null and alternate hypotheses.

This hypothesis test is a

Compute the test statistic. Do not round intermediate steps. Round the answer to two decimal places.

(b) Compute the P-value. Round the answer to at least four decimal places.

(c) Determine whether to reject H0.

(d) Using , can you conclude that less than half of HIV-positive smokers have used a nicotine patch?

 

Game consoles: A poll surveyed 341 video gamers, and 81 of them said that they prefer playing games on a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that less than 27% of gamers prefer consoles. Does the poll provide convincing evidence that the claim is true? Use the =0.01 level of significance and the P-value method and Excel.

(a) State the appropriate null and alternate hypotheses.

(b)Compute the test statistic. Do not round intermediate steps. Round the answer to two decimal places.

(c)Using the result from part (b), compute the -value. Round the final answer to at least four decimal places.

(d)Determine whether to reject .

(e)State a conclusion.

 

Curing diabetes: Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent study, 82 patients with Type 2 diabetes underwent this procedure, and 59 of them experienced a recovery from diabetes. Does this study provide convincing evidence that more than 63% of those with diabetes who undergo this surgery will recover from diabetes? Use the =0.10 level of significance and the P-value method and Excel.

(a) State the appropriate null and alternate hypotheses.

(b)Compute the test statistic. Do not round intermediate steps. Round the answer to two decimal places.

(c)Using the result from part (b), compute the -value. Round the final answer to at least four decimal places.

(d)Determine whether to reject .

(e)State a conclusion.