Question

It is believed that nearsightedness affects about 8% of all children. In a random sample of...

It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted.


(a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate?

  • Ho: p = .08
    Ha: p ≠ .08
  • Ho: p = .08
    Ha: p > .08
  • Ho: p = .08
    Ha: p < .08




(b) What proportion of children in this sample are nearsighted?
(round to four decimal places)


(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic).
Z =  (please round to two decimal places)


(d) What is the p-value for this hypothesis test?
p =  (please round to four decimal places)


(e) What is the conclusion of the hypothesis test?

  • Since p ≥ α we accept the null hypothesis
  • Since p<α we reject the null hypothesis and accept the alternative
  • Since p<α we fail to reject the null hypothesis
  • Since p ≥ α we reject the null hypothesis and accept the alternative
  • Since p ≥ α we do not have enough evidence to reject the null hypothesis
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
It is believed that nearsightedness affects about 8% of all children. In a random sample of...
It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. 1. What proportion of children in this sample are nearsighted? (round to four decimal places) 2. Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (use the Z-statistic). Z =  (please round to two decimal places) 3. What is the p-value for this hypothesis test?...
It is believed that nearsightedness affects about 8% of all children. In a random sample of...
It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. Conduct a hypothesis test for the following question: do these data provide evidence that the 8% value is inaccurate? Use α = 0.05. Because the p-value is （ ） than α = 0.05, we （ ） the null hypothesis. The sample （ ） provide convincing evidence that the fraction of children who are nearsighted is different from 0.08.
Nearsighted. It is believed that nearsightedness affects about 8% of all children. In a random sample...
Nearsighted. It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. Conduct a hypothesis test for the following question: do these data provide evidence that the 8% value is inaccurate? What are the null and alternative hypotheses? H 0 : p = Incorrect H A : p ≠ Incorrect Check the sample size to verify that we can use the normal model to answer this question. n p 0...
It is believed that nearsightedness affects 8 % of children. In a Random Sample of 194...
It is believed that nearsightedness affects 8 % of children. In a Random Sample of 194 children, 21 are nearsighted. Does the data prove that 8% is an inaccurate value? Use 1% level of significance. A. State the null Hypotheses B State the alternative hypotheses C. One or Two Tail Test? D. State the critical Value of the hypothesis test. E. Illustrate the rejection region using a graph. F. What is the test Statistic? G. What is the P value...
6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults...
6.16 Is college worth it? Part I: Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. (a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey...
6.34 Prenatal vitamins and Autism: Researchers studying the link between prenatal vitamin use and autism surveyed...
6.34 Prenatal vitamins and Autism: Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children aged 24 - 60 months with autism and conducted another separate random sample for children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (periconceptional period). (Schmidt, 2011) Autism Typical Development Total No vitamin 111 70 181...
The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and...
The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments. It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. Df...
Questions D-F d) You conduct a hypothesis test for the population proportion. After you calculate the...
Questions D-F d) You conduct a hypothesis test for the population proportion. After you calculate the z test statistic, you find that your p-value = 0.059. Using alpha (α) = 0.05 level of significance, what is your decision regarding the null hypothesis? Choose from the following. - Reject the null hypothesis and reject the alternative hypothesis - Accept the null hypothesis - Do not reject the null hypothesis - Reject the null hypothesis and accept the alternative hypothesis e) You...
A USA Today/Gallup poll conducted between 2010 and 2011 asked a group of unemployed and underemployed...
A USA Today/Gallup poll conducted between 2010 and 2011 asked a group of unemployed and underemployed Americans if they have had major problems in their relationships with their spouse or another close family member as a result of not having a job (if unemployed) or not having a full-time job (if underemployed). 27% of the 1,145 unemployed respondents and 25% of the 675 underemployed respondents said they had major problems in relationships as a result of their employment status. (a)...
According to MessageLabs Ltd., 80% of all email sent in July 2010 was spam. A system...
According to MessageLabs Ltd., 80% of all email sent in July 2010 was spam. A system manager at a large corporation believes that the percentage at his company may be greater than 80%, and he wants to do a hypothesis test to see if there is evidence to support his belief. He examines a random sample of 500 emails received at an email server and finds that 420 of the messages are spam. What is the parameter for this hypothesis...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT