Arandom sample of 770 subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows goodness-of-fit test results from the claim and data from the study. Test that claim using either the critical value method or the P-value method with an assumed significance level of a = 0.05. Test statistic, Num Categories 7 1384.851 Degrees of freedom 6 Critical y 12.592 Expected Freq 110.0000 P.Value 0.0000 Determine the null and alternative hypotheses Hg: All days of the week have an equal chance of being selected. H: At least one day of the week has a different chance of being selected. Identify the test statistic. 2= Type an integer or a decimal.)

The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 10% level of significance. Give answer to at least 4 decimal places.   Hours 49 40 58 52 49 70 49 59 47 49 53 55   What are the correct hypotheses? H0:                    hoursH1:                    hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to       . The correct summary would be:       that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.

Do campers with trailers really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of campers with trailers both in the mountains and on desert roads. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.05 significance level, test the claim that the mpg on desert roads is better than in the mountains. MPG on Desert Roads 30.9 32.6 28.4 25.4 35.1 32.4 31.1 30.9 34.1 35.5 MPG in the Mountains 24 21.2 22.3 24.9 23.2 24.2 25.1 25.8 23.1 28.1 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Hg: Select an answer v Select an answer H: Select an answer ? v Select an answer v Original Claim = Select an answer v df =

A study of seat belt users and nonusers yielded the randomly selected sample data summarized in the accompanying table. Use a 0.05 significance level to test the claim that the amount of smoking is independent of seat belt use. A plausible theory is that people who smoke are less concerned about their health and safety and are therefore less inclined to wear seat belts, Is this theory supported by the sample data? BB Click the icon to view the data table. Determine the null and alternative hypotheses. O A. Ho: The amount of smoking is dependent upon seat belt use. H₁: The amount of smoking is not dependent upon seat belt use. O B. Ho: Heavy smokers are not less likely than non-smokers to wear a seat belt. H₁: Heavy smokers are less likely than non-smokers to wear a seat belt. OC, Ho: Heavy smokers are less likely than non-smokers to wear a seat belt. H₁: Heavy smokers are not less likely than non-smokers to wear a seat belt. O D. Ho: The amount of smoking is independent of seat belt…

A graduate student believes that people consider faces with more contrast between eye color and skin tone as more feminine. She identifies the null and alternative hypotheses as: H₀: The level of contrast between eye color and skin tone does not affect how feminine a face is considered. H₁: The level of contrast between eye color and skin tone affects how feminine a face is considered. She chooses a significance level of 0.01. After she collects the data and computes the sample statistics, it is time for her to make a decision about H₀. Check the two possible decisions that the graduate student can make given her choices of H₀ and H₁. Check all that apply. There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered.   There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered.   There is not enough…

In a random sample of 360 women, 63% favored stricter gun control laws. In a random sample of 220 men, 58% favored stricter gun control laws. Test the claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a significance level of 0.05.

give an example of a study for which the independent sample t-test  is appropiate

A company claims that less than 30% of people who both work and live in Newcastle. A study revealed that among a random sample of 200 people working in Newcastle, 62 also lived in Newcastle. Does the sample support the company’s claim? Use a level of significance of 0.01.