# 0.2 Practice tests (1-4) and final exams  (Page 20/36)

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62 . What would be your decision, if you were using α = 0.01?

## 10.3: comparing two independent population proportions

Use the information to answer the next six exercises. You want to know if proportion of homes with cable television service differs between Community A and Community B. To test this, you draw a random sample of 100 for each and record whether they have cable service.

63 . What are the null and alternative hypotheses for this study

64 . If 65 households in Community A have cable service, and 78 households in community B, what is the pooled proportion?

65 . At α = 0.03, will you reject the null hypothesis? What is your conclusion? 65 households in Community A have cable service, and 78 households in community B. 100 households in each community were surveyed.

66 . Using an alpha value of 0.01, would you reject the null hypothesis? What is your conclusion? 65 households in Community A have cable service, and 78 households in community B. 100 households in each community were surveyed.

## 10.4: matched or paired samples

Use the following information to answer the next five exercises. You are interested in whether a particular exercise program helps people lose weight. You conduct a study in which you weigh the participants at the start of the study, and again at the conclusion, after they have participated in the exercise program for six months. You compare the results using a matched-pairs t-test, in which the data is {weight at conclusion – weight at start}. You believe that, on average, the participants will have lost weight after six months on the exercise program.

67 . What are the null and alternative hypotheses for this study?

68 . Calculate the test statistic, assuming that ${\overline{x}}_{d}$ = –5, s d = 6, and n = 30 (pairs).

69 . What are the degrees of freedom for this statistic?

70 . Using α = 0.05, what is your decision regarding the effectiveness of this program in causing weight loss? What is the conclusion?

71 . What would it mean if the t -statistic had been 4.56, and what would have been your decision in that case?

## 11.1: facts about the chi-square distribution

72 . What is the mean and standard deviation for a chi-square distribution with 20 degrees of freedom?

## 11.2: goodness-of-fit test

Use the following information to answer the next four exercises. Nationally, about 66 percent of high school graduates enroll in higher education. You perform a chi-square goodness of fit test to see if this same proportion applies to your high school’s most recent graduating class of 200. Your null hypothesis is that the national distribution also applies to your high school.

73 . What are the expected numbers of students from your high school graduating class enrolled and not enrolled in higher education?

74 . Fill out the rest of this table.

Observed ( O ) Expected ( E ) O E ( O E )2 $\frac{{\left(O-E\right)}^{2}}{z}$
Enrolled 145
Not enrolled 55

75 . What are the degrees of freedom for this chi-square test?

76 . What is the chi-square test statistic and the p -value. At the 5% significance level, what do you conclude?

77 . For a chi-square distribution with 92 degrees of freedom, the curve _____________.

Frequency find questions
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hello
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Atul
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Tamuno
Hello every one
Okoi
sample survey is done by local government in each and every field.
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raghavendra
that's true
syeda
statistics is one of the tool that represents the falling and rising of any cases in one sheet either that is in population census whether forecast as well as economic growth
statistic is a technique, and statistics is a subject
syeda
Probability tells you the likelihood of an event happening. ... The higher the probability, the more likely it is to happen. Probability is a number or fraction between 0 and 1. A probability of 1 means something will always happen, and a probability of 0 means something will never happen...
Saying it's a number between zero and one means it is a fraction so you could remove "or fraction" from you definition.
Carlos
wouldn't be correct to remove fractions, saying a number is justified as probabilities can also be decimals between 0 and 1.
Denzel
Saying "a number" will include it being a decimal which are themselves fractions in another form.
Carlos
I will simply say a probability is a number in the range zero to one, inclusive.
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f#\$
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what is probability
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Statistic is the mean of the sample.
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what actually is the definition of range
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the range of a set of data is the difference between the largest and smallest values
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I need more explanation about cluster sampling
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write the set of old number that are greater than or equal to minutes 7 butl less than 5 in both of the set notation