The Energy Information Administration reported that 51.7% of homes in the United States were heated by natural gas. A random sample of 203 homes found that 122 were heated by natural gas. Does the evidence support the claim, or has the percentage changed? Use α=0.01 and the P-value method. 1. Compute the test value. 2. Can you show me how to get this in the Ti 84?

The Energy Information Administration reported that 51.7% of homes in the United States were heated by natural gas. A random sample of 203 homes found that 122 were heated by natural gas. Does the evidence support the claim, or has the percentage changed? Use α=0.01 and the P-value method. 1. Compute the test value. 2. Can you show me how to get this in the Ti 84?

Name: The Energy Information Administration reported that 51.7% of homes in
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The Energy Information Administration reported that 51.7% of homes in the United States were heated by natural gas. A random sample of 203 homes found that 122 were heated by natural gas. Does the evidence support the claim, or has the percentage cha

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

See similar textbooks

Similar questions

A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
1. Per the CDC article, men have higher blood pressure than women. Is this also true for this wholesale distribution center population? Use 0.05. Determine whether your (NEW) sample provides statistical evidence that this company’s population of adults has men with a higher blood pressure than women. Set alpha at 0.05 just focus on the Systolic number.
Average IQ scores for young school children are known to be 100 (SD = 15). However, the literature indicates that children’s intelligence may be decreased if their mothers have German measles during pregnancy. Using hospital records, a researcher obtained a sample of n = 25 school children whose mothers all had German measles during their pregnancies. Do the data indicate that children born to mothers who had German measles during the pregnancy have significantly lower IQ scores than typical young school children? child IQ scr 1 91 2 111 3 97 4 95 5 96 6 95 7 95 8 96 9 94 10 93 11 95 12 92 13 96 14 91 15 97 16 93 17 92 18 99 19 93 20 97 21 85 22 94 23 96 24 95 25 96 a. What is the independent variable in the research study? b. Is the independent variable categorical or quantitative? c. What is the dependent variable in…
Average IQ scores for young school children are known to be 100 (SD = 15). However, the literature indicates that children’s intelligence may be decreased if their mothers have German measles during pregnancy. Using hospital records, a researcher obtained a sample of n = 25 school children whose mothers all had German measles during their pregnancies. Do the data indicate that children born to mothers who had German measles during the pregnancy have significantly lower IQ scores than typical young school children? child IQ scr 1 91 2 111 3 97 4 95 5 96 6 95 7 95 8 96 9 94 10 93 11 95 12 92 13 96 14 91 15 97 16 93 17 92 18 99 19 93 20 97 21 85 22 94 23 96 24 95 25 96 A. Is the dependent variable categorical or quantitative? A B. What is the mean IQ for the sample? B C. What is the sample standard deviation? C D. What…
A sample of patients is tested to determine if they have any hospital borne infections. How large of a sample must be collected to be accurate within 0.01 at the 1% level of significance, if the hospital estimates the true proportion of patients infected is 0.045? p̂ = q̂ = E = Z= n=
A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.
Assume we wanted to show that the true proportion of virginica iris seeds that fail to germinate is less than 20%. Let's say we tested at an alpha of 0.05, and found a p-vale of 0.082. Which of the following would be an appropriate conclusion and interpretation? A) With an alpha of 0.05, and a p-value of 0.082, we fail to reject the null and state we have insufficient evidence to support that the true proportion of virginica iris seeds that fail to germinate is less than 20%. B) With an alpha of 0.05, and a p-value of 0.0082, we reject the null and state we have sufficient evidence to support that the true proportion of virginica iris seeds that fail to germinate is less than 20%. C) With an alpha of 0.05, and a p-value of 0.082, we reject the null and state we have sufficient evidence to support that the true proportion of virginica iris seeds that fail to germinate is less than 20%. D) With an alpha of 0.05, and a p-value of 0.082, we fail to reject the null and state…
A researcher obtains t=2.25 for a repeated measures study using a sample of n=10 participants. Based on this t value, what is the correct decision for a two- tail test at .05 and .01 alpha level?
A new insecticide is advertised to kill more than 95% roaches upon contact. In a laboratory test, the insecticide was applied to 400 roaches and 384 died immediately after contact. Is this sufficient evidence to support the advertised claim? Use α=0.05. (c) p-value for the problem above i
A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.
The research examining the effects of preschool childcare has found that children who spent time in daycare perform better on math and language tests than children who stay home with their mothers. The results show that a sample of n = 25 children who attended daycare before starting school had an average score of M = 87 with SS = 1536 on a standardized math test for which the population mean is μ = 81. The population distribution is normal. Use α= .01 a. Is this sample sufficient to conclude that the children with a history of preschool daycare are significantly better from the general population? b. Compute the 95% confidence interval. show all work
A sample of n = 16 scores produces a t statistic of t = 2.00. If the sample is used to measure effect size with r2, what value will be obtained for r2?