Question

Read carefully through the following problems (Questions 5-8). Each problem is accompanied by a null and...

Read carefully through the following problems (Questions 5-8). Each problem is accompanied by a null and an alternative hypothesis, and each set of hypotheses includes at least one mistake. We would like you to identify what the mistake(s) is/are.

  1. A claim is made that adults spend an average of $475 per year on birthday presents. A researcher believes this value is too low, and she sets out to gather data to test this claim. Her null and alternative hypotheses are below.

Ho: x = $475

Ha: x > $475

  1. It is claimed that 52% of college students own an iPad. You believe a different proportion of college students own an iPad. Your null and alternative hypotheses are below.

Ho: p = 0.52

Ha:   p < 0.52

  1. It is claimed that high school students across the country spend an average of 10.7 hours per week working at a part-time job. Teachers at one high school worry their students are spending too much time working at part-time jobs and not enough time studying. To determine if these students spend significantly more than 10.7 hours per week working at part-time jobs, they survey a random sample of 45 students. They find the sample average number of hours working at part-time jobs per week to be 12.5.   They plan to conduct a hypothesis test, and they begin with the following hypotheses:

Ho: µ = 12.5

Ha: µ < 12.5

  1. Researchers claim that 240 seconds is the average amount of time people spend brushing their teeth per day. You think the true average is less than 240 seconds. You write out the following null and alternative hypotheses.

Ho: p = 120

Ha: p < 120

Homework Answers

Answer #1

1)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 475
Alternative Hypothesis, Ha: μ < 475


2)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.52
Alternative Hypothesis, Ha: p ≠ 0.52

3)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 10.7
Alternative Hypothesis, Ha: μ > 10.7


4)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 240
Alternative Hypothesis, Ha: μ < 240

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A class survey in a large class for first-year college students asked, "About how many hours...
A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 493 students was x = 15.3 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 8.5 hours in the population of all first-year students at this university. Regard these students as an SRS from the population of all first-year students at this university....
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...
5. Determine the null and alternative hypotheses for the following scenario. a) At Northwest Mississippi Community...
5. Determine the null and alternative hypotheses for the following scenario. a) At Northwest Mississippi Community College, syllabi for online classes state that students should expect to spend 10 hours per week doing coursework for each three-credit-hour class. The director of eLearning for the community college is concerned that students are being required to spend more than 10 hours per week doing work for each three-credit course. b) After learning that Peter Colat of Switzerland could hold his breath for...
Use the following information to answer questions 13-17: The belief is that the mean number of...
Use the following information to answer questions 13-17: The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.7 hours. Data from a simple random sample of 24 high school seniors indicated that their mean number of part-time work was 11.6 with a standard deviation of 1.4. Test whether these data cast doubt on the current belief. (use α = 0.05) Part a: State your null and alternative...
We are interested in the average amount of time De Anza students spend studying statistics each...
We are interested in the average amount of time De Anza students spend studying statistics each week. A survey of 32 De Anza students yields a sample average time of 14.4 hours spent studying statistics per week with a sample standard deviation of 1.9 hours. Conduct a hypothesis test using a 5% level of significance, to determine if the average time spent studying statistics each week by De Anza students is less than 15 hours. 1. Ho: _______________ Ha: ___________________...
1. The belief is that the mean number of hours per week of part-time work of...
1. The belief is that the mean number of hours per week of part-time work of high school seniors in a city is 10.7 hours. Data from a simple random sample of 28 seniors indicated that their mean number of parttime work was 12.5 with a standard deviation of 1.3. Test whether these data cast doubt on the current belief. (use α = 0.05) a.)State your null and alternative hypotheses. b.)Sketch the rejection region. c.) Calculate the test statistic. Plot...
A class survey in a large class for first‑year college students asked, “About how many hours...
A class survey in a large class for first‑year college students asked, “About how many hours do you study during a typical week?” The mean response of the 463463 students was ?¯=13.7x¯=13.7 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation ?=7.4σ=7.4 hours in the population of all first‑year students at this university. Regard these students as an SRS from the population of all first‑year students at this university. Does the study give...
A medical researcher is investigating the effect of drinking coffee on systolic blood pressure. The researcher...
A medical researcher is investigating the effect of drinking coffee on systolic blood pressure. The researcher assumes the average systolic blood pressure is 120 mmHg. For a random sample of 200 patients, the researcher takes two measurements of systolic blood pressure. The first systolic blood pressure measurement is taken during a week when the patients drink no coffee, and the second systolic blood pressure measurement is taken during a week when the patients drink at least two cups of coffee....
Use the following information to answer Questions 1 through 3 The manager of OfficeSpace Inc. wishes...
Use the following information to answer Questions 1 through 3 The manager of OfficeSpace Inc. wishes to determine whether employees with an office spend more or less “down time” on the computer than employees working in a cubicle. She tracks the monitors of 7 cubicle-workers (denoted as X) and 3 office-workers for 8 hours each. She finds that the cubicle-workers spend an average of 38 minutes of “down time,” and the office-workers spend an average of 49 minutes of “down...
1. According to a recent report, 38% of adults wait until they are 30 years of...
1. According to a recent report, 38% of adults wait until they are 30 years of age or older to get married for the first time. A researcher believes this claimed value is too low. He gathers data in order to test the hypotheses Ho: p = 0.38 vs. Ha: p > 0.38. In these hypotheses, what does p represent? A. The sample proportion B. The population proportion C. The p-value D. The sample mean E. The population mean 2....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT