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If the alternative hypothesis is that the proportion of items in population 1 is larger than the proportion of items in population 2, then the null hypothesis should be _____.

The academic planner of a university thinks that at least 35% of the entire student body attends summer school. The correct set of hypotheses to test their belief is _____.

A goodness of fit test checks to see if the data came from some specified population or distribution.

A political scientist is studying the impact of a political debate between candidates for governor in small western states. The scientist wants to evaluate the proportion of registered voters who switch their preference after viewing the debate. The following table contain the data from 75 registered voters. PreferenceBefore Debate PreferenceAfter Debate Total(Before Debate) Candidate A  Candidate B Candidate A  30 11 41 Candidate B 4 30 34 Total(After Debate) 34 41 75 At alpha=0.05 do we have enough evidence to conclude that lower proportion of people like candidate A after the debate compared to the proportion of people who liked candidate A before the debate.

The following information was obtained from matched samples:IndividualMethod 1Method 2175259368477556 The point estimate for the mean of the population of differences is _____.

In one-way ANOVA the total variance is partitioned into two components.

In a campus volunteer group, adults 21 and older volunteer from one to nine hours each week to spend time with a disabled senior citizen. The program recruits among students, faculty, and staff of the university. The table below is a sample of the adult volunteers and the number of hours they volunteer per week. Volunteer Group Volunteer Hours Total 1-3 Hours 4-6 Hours 7-9 Hours Students 111 96 48 255 Faculty 96 133 61 290 Staff 91 150 53 294 Total 298 379 162 839 What test can be used to test if the number of hours volunteered is independent of the volunteer group? 

The F-distribution is takes values between ____ and ________

A political scientist is studying the impact of a political debate between candidates for governor in small western states. The scientist wants to evaluate the proportion of registered voters who switch their preference after viewing the debate. The following table contain the data from 75 registered voters. PreferenceBefore Debate PreferenceAfter Debate Total(Before Debate) Candidate A  Candidate B Candidate A  30 11 41 Candidate B 4 30 34 Total(After Debate) 34 41 75 We are interested in testing whether lower proportion of people like candidate A after the debate compared to the proportion of people who liked candidate A before the debate. the test statistic and the p-value are given as:

Employers want to know which days of the week employees have the highest num- ber of absences in a five-day work week. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of 60 managers are asked on which day of the week they had the highest number of employee absences. The results are recorded in the table below.  Day of the week Monday Tuesday Wednesday Thursday Friday Observed Frequency 15 11 10 9 15 At the 5% significance level, do we have enough evidence to suggest that the day of the week with the highest number of absences occur with equal frequency during a five-day work week.