A study claims that all adults spend an average of 14 hours or more on chores during a weekend. A researcher wanted to check if this claim is true. This researcher's random sample of 200 adults revealed that these adults put in an average of $14.65$ per hour on housework over the course of a weekend. The $3.00$ hour population standard deviation is well known. a. The alternative hypothesis is that all adults spend more than 14 hours on housework on the weekends. Calculate the $p$-value for the hypothesis test with this alternative hypothesis. At $\alpha=.01$, will you reject the null hypothesis? b. Test the hypothesis of part a using the critical-value approach and $\alpha=.01$.

The president of a university claims that the mean time spent partying by all students at this university is not more than 7 hours per week. It was discovered through a random sample of 40 students from this university that they partied for an average of $9.50$ per hour the week before, with a standard deviation of $2.3$ per hour. Check the validity of the president's allegation at a $2.5% level of significance. Clearly state your conclusion.

Execute these steps.

a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results.

Employ the traditional method of hypothesis testing unless otherwise specified.

The percentages of adults 25 years of age and older who have completed 4 or more years of college are $23.6 \%$ for females and $27.8 \%$ for males. A random sample of women and men who were 25 years old or older was surveyed with these results. Estimate the true difference in proportions with $95 \%$ confidence, and compare your interval with the Almanac statistics.

Choose the correct answer.

(a) To, (b) Too many students graduate from college heavily in debt.

The accompanying data file shows the midterm and final scores for 32 students in a statistics course.

b. Find the standard error of the estimate.

Indicate whether the given event is independent or not. Describe briefly.

c) The scores you receive on the first midterm, second midterm, and final exam of a course.

Perform each of the following steps.

a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Find the test value. d. Make the decision. e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

A survey of 800 randomly selected recent degree recipients found that 155 received associate degrees; 450, bachelor degrees; 20, first professional degrees; 160, master degrees; and 15, doctorates. Is there sufficient evidence to conclude that at least one of the proportions differs from a report which stated that $23.3 \%$ were associate degrees; $51.1 \%$, bachelor degrees; $3 \%$, first professional degrees; $20.6 \%$, master degrees; and $2 \%$, doctorates? Use $\alpha=0.05$

A university employment office wants to compare the time taken by graduates with three different majors to find their first full-time job after graduation. The following table lists the time (in days) taken to find their first full-time job after graduation for a random sample of eight business majors, seven computer science majors, and six engineering majors who graduated in May 2009.

At the $5 \%$ significance level, can you conclude that the mean time taken to find their first full-time job for all May 2009 graduates in these fields is the same?

Adults aged 16 or older were assessed in three types of literacy: prose, document, and quantitative. The scores in document literacy were the same for 19- to 24-year-olds and for 40- to 49-year-olds. A random sample of scores from a later year showed the following statistics.

Perform the following steps.
Faculty and Students The number of faculty and the number of students are shown for a random selection of small colleges. Is there a significant relationship between the two variables? Switch $x$ and $y$ and repeat the process. Which do you think is really the independent variable?

$$\begin{array}{l|ccccccc} \text { Faculty } & 99 & 110 & 113 & 116 & 138 & 174 & 220 \\ \hline \text { Students } & 1353 & 1290 & 1091 & 1213 & 1384 & 1283 & 2075 \end{array}$$

c. State the hypotheses.

The table shows which school subjects are favored by a group of students. Predict the number of students out of 400 that would pick science as their favorite subject.

Perform the following steps.
Faculty and Students The number of faculty and the number of students are shown for a random selection of small colleges. Is there a significant relationship between the two variables? Switch $x$ and $y$ and repeat the process. Which do you think is really the independent variable?

$$\begin{array}{l|ccccccc} \text { Faculty } & 99 & 110 & 113 & 116 & 138 & 174 & 220 \\ \hline \text { Students } & 1353 & 1290 & 1091 & 1213 & 1384 & 1283 & 2075 \end{array}$$

b. Compute the value of the correlation coefficient.

For Exercise given below, perform these steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified.

Use the traditional method of hypothesis testing unless otherwise specified.

A survey found that 83% of the men questioned preferred computer-assisted instruction to lecture and 75% of the women preferred computer-assisted instruction to lecture. There were 100 individuals in each sample. At a = 0.05, test the claim that there is no difference in the proportion of men and the proportion of women who favor computer-assisted instruction over lecture. Find the 95% confidence interval for the difference of the two proportions.

In a sample of 50 men, 44 said that they had less leisure time today than they had 10 years ago. In a random sample of 50 women, 48 women said that they had less leisure time than they had 10 years ago. At $\alpha=0.10$, is there a difference in the proportions? Find the $90 \%$ confidence interval for the difference of the two proportions. Does the confidence interval contain 0 ? Give a reason why this information would be of interest to a researcher. Perform these steps.

a. State the hypotheses and identify the claim. b. Find the critical value(s). c. Compute the test value. d. Make the decision. e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.