please my professor did not accept the answer from websites

The P-value for a chi-square test is always one-tailed. This is true because of all of the following reasons, EXCEPT:

Group of answer choices

Observed data that is either higher or lower than the null hypothesis predicts will result in a positive chi-square value.

Only alarge positivevalue of chi-square provides stronger evidence to conclude H_A.

A chi-square distribution is skewed.

The chi-square statistic is always positive, unlike azortstatistic which can be ether positive or negative.

_______________________

For a two-way classification table, we define:

n = total # of observations

r = # of rows in the table

c= # of columns in the table

For theChi-Square Test of Independence, the degrees of freedom (df) is:

Group of answer choices

r x c - 1

n

n-1

(r-1)x(c-1)

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What are the correct hypotheses for theChi-Square Test of Independence,?

Group of answer choices

H₀: A change in one variable does not cause a change in the other variable.

H_A: A change in one variable does cause a change in the other variable.

H₀: The variables of interest are dependent.

H_A: The variables of interest are independent.

H₀: The variables of interest are related to each other.

H_A: The variables of interest are not related.

H₀: The variables of interest are independent.

H_A: The variables of interest are dependent.

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Suppose you run a Chi-Squared Test of Independence on a 3-by-4 table and obtain a chi-squared value of 13.21. According to Table F, the P-value is:

Group of answer choices

between 0.025 and 0.05

between 0.05 and 0.10

between 0.02 and 0.025

between 0.01 and 0.02

2

Q1. A large value for chi-square tends to indicate a good fit between the sample data and the null hypothesis.

Group of answer choices

a.)True

b.)False

Q2. A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference for three different designs for a new automobile. Each individual in a sample ofn= 30 males andn= 30 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of²= 4.81, what is the appropriate statistical decision for the test?

Group of answer choices

a.)There is not enough information to determine the appropriate decision.

b.)Fail to reject the null hypothesis with either= .05 or= .01

c.)Reject the null hypothesis with either= .05 or= .01

d.)Reject the null hypothesis with= .05 but not with= .01

Q3.

For a chi-square test, the observed frequencies are obtained from the sample.

Group of answer choices

a.)True

b.)False

Q4. A sample of 100 people is classified by gender (male or female) and voter registration status (registered voter or not). The sample consists of 80 females and 20 males, and has a total of 60 registered voters. If these data were used for a chi-square test for independence, what is the expected frequency for males who are registered voters?

Group of answer choices

a.)This cannot be determined based on the provided information.

b.)f_e= 12

c.)f_e= 20

d.)f_e= 40

Q5.)A researcher examines whether a majority of individuals prefer to wear their seat belts when driving by counting seat belt wearing tendencies among a sample. The statistical test that should be used when conducting the hypothesis test is a chi-square test for independence.

Group of answer choices

a.)True

b.)False

3

Find the value of the chi-square test statistic for the goodness-of-fit test. You wish to test the claim that a die is fair. You roll it 48 times with the following results.

Number 1 2 3 4 5 6

Frequency 5 10 12 9 4 8

What is the value of X2 test statistics.

Observed frequency (O) 5,10,12,9,4,8

Expected frequency (E) 8,8,8,8,8,8

a. X2 = 3.538

b. X2 = 4.182

c. X2 = 5.75

d. X2 = 7.667

6. A researcher wants to test the association between stress and glucose level in diabetic patients. A 5 x 4 contingency table was developed and the Chi-square value computed was 25.72. At the 0.05 level what should the researcher conclude?

a. With a critical value of 21.026; stress and glucose level are dependent

b. With a critical value of 23.337; stress and glucose level are independent

c. With a critical value of 31.410; stress and glucose level are dependent

d. With a critical value of 34.170; stress and glucose level are independent

7. A researcher believes there is a positive correlation between age and amount of donation to a political party. Data is collected on 25 adults. If r=0.8, at the 0.05 level is the researcher correct?

a. With a critical value of 0.956, p = 0

b. With a critical value of 1.711, p > 0

c. With a critical value of 1.714, p > 0

d. With a critical value of 1.714, p < 0

4

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 of 100 buses resulted in a sample mean of 3850 bus miles and a sample standard deviation of 275 bus miles. Please show your work.

A. T-stat=

B. The critical values is/are?

C. Is there sufficient evidence to reject the null hypothesis using a=0.05.