The principal of a school claims that the percentage of students at his school that come...
The principal of a school claims that the percentage
of students at his school that come from single-parent homes is
11%. He takes a random sample of 100 students and finds 15 students
(15%) come from single-parent homes. At the 0.05 significance
level, test his claim by providing each of the following:
a. the null and alternative hypothesis
b. the test statistic
c. the pvalue
d. state the final conclusion in nontechnical terms
e. describe what type 1 error would be for this specific
situation
f. construct a 95% confidence interval
g. does the confidence interval support the conclusion for part D?
explain
Homework Answers
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The principal of a school claims that the percentage
of students at his school that come...
Assume that a hypothesis test of the given claim will be conducted. Identify the type I...
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type Il error for the test. 1) The principal of a school claims that the percentage of students at his school that come from single-parent homes is 20%. Identify the type II error for the test. Fail to reject the claim that the percentage of students that come from single- parent homes is equal to 20% when that percentage is actually different from...
A principal claims the students in his school have above-average test scores for a particular standardized...
A principal claims the students in his school have above-average test scores for a particular standardized test. A sample of 50 students from his school were found to have an average test score of 77.2. The population mean for test scores for this particular test is 75, with a standard deviation of 9 (so we can assume that the population test score is normally distributed). Set up a hypothesis test to determine whether this principal’s claim is correct (use alpha...
Question 17 (4 points) Assume that a hypothesis test of the given claim will be conducted....
Question 17 (4 points) Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type Il error for the test. The principal of a school claims that the percentage of students at his school that come from single-parent homes is 20%. Identify the type Il error for the test. O 1) Fail to reject the claim that the percentage of students that come from single-parent homes is equal to 20% when that percentage...
Construct a confidence interval for ?d, the mean of the differences d for the population of...
Construct a confidence interval for ?d, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributecd 21) A coach uses a new technique in training middle distance runners. The times for 9 differen 21) athletes to run 800 meters before and after this training are shown below Athlete A BC D EF G H I Time before training (seconds) 115.2 120.9 108.0 112.4 107.5 119.1 121.3 110.8 122.3...
The owner of a football team claims that the average attendance at games is over 561,...
The owner of a football team claims that the average attendance at games is over 561, 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 SELECT ALL APPLICABLE CHOICES A) There is not sufficient evidence to support the claim that the mean attendance is less than 561 B) There is sufficient evidence to support the claim that the mean attendance is greater than...
The CEO of a large electric utility claims that 80 percent of his 1,000,000 customers are...
The CEO of a large electric utility claims that 80 percent of his 1,000,000 customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers using simple random sampling to determine if the proportion differs from 80%. Among the sampled customers, 73 say they are very satisfied. Based on these findings, can we reject the CEO's hypothesis that 80% of the customers are very satisfied? Use a 0.05 level of significance. a)...
2) A researcher claims that more than 30 percent of Rutgers students use reading glasses. A...
2) A researcher claims that more than 30 percent of Rutgers students use reading glasses. A consumer ageney wants to this elaim. The agency takes a random sample of 100 students and finds that 40 use reading glasses. Test the resea claim at the 0.02 level of significance rcher's 1) What are the alternative and null hypotheses? 2) What is the Level of Significance for this test? 3) What is the computed standard value for this test? 4) What is...
1) A high school principal wishes to estimate how well his students are doing in math....
1) A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds that 77% of them received a passing grade. Create a 99% confidence interval for the population proportion of passing test scores. Enter the lower and upper bounds for the interval in the following boxes, respectively. You may answer using decimals rounded to four places or a percentage rounded to two. Make sure to use a percent sign...
A principal at a specific school thinks that his students are above average intelligence. He collects a random sample of...
A principal at a specific school thinks that his students are above average intelligence. He collects a random sample of IQ scores from 25 students from his school. His sample has a mean of 112. The mean population IQ is 100 with a standard deviation of 15. Does he have enough evidence to support his claim?
3. (40 points) Twenty years ago 56% of parents of high school students felt that it...
3. (40 points) Twenty years ago 56% of parents of high school students felt that it was a serious problem that high school students were not being taught enough science and math. A recent survey found that 318 out of 800 parents of high school students feel that it is a serious problem that students are not being taught enough science and math. At a 99% significance level, do parents today feel differently than they did 20 years ago? Steps...
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type Il error for the test. 1) The principal of a school claims that the percentage of students at his school that come from single-parent homes is 20%. Identify the type II error for the test. Fail to reject the claim that the percentage of students that come from single- parent homes is equal to 20% when that percentage is actually different from...
Question 17 (4 points) Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type Il error for the test. The principal of a school claims that the percentage of students at his school that come from single-parent homes is 20%. Identify the type Il error for the test. O 1) Fail to reject the claim that the percentage of students that come from single-parent homes is equal to 20% when that percentage...
Construct a confidence interval for ?d, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributecd 21) A coach uses a new technique in training middle distance runners. The times for 9 differen 21) athletes to run 800 meters before and after this training are shown below Athlete A BC D EF G H I Time before training (seconds) 115.2 120.9 108.0 112.4 107.5 119.1 121.3 110.8 122.3...
The owner of a football team claims that the average attendance at games is over 561, 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 SELECT ALL APPLICABLE CHOICES A) There is not sufficient evidence to support the claim that the mean attendance is less than 561 B) There is sufficient evidence to support the claim that the mean attendance is greater than...
2) A researcher claims that more than 30 percent of Rutgers students use reading glasses. A consumer ageney wants to this elaim. The agency takes a random sample of 100 students and finds that 40 use reading glasses. Test the resea claim at the 0.02 level of significance rcher's 1) What are the alternative and null hypotheses? 2) What is the Level of Significance for this test? 3) What is the computed standard value for this test? 4) What is...
3. (40 points) Twenty years ago 56% of parents of high school students felt that it was a serious problem that high school students were not being taught enough science and math. A recent survey found that 318 out of 800 parents of high school students feel that it is a serious problem that students are not being taught enough science and math. At a 99% significance level, do parents today feel differently than they did 20 years ago? Steps...
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