HOMEWORK 5b--GENDER AND STATISTICS GRADES- …



HOMEWORK 5b--GENDER AND STATISTICS GRADES--PROPORTIONS

1. Use spreadsheet > to conduct estimation and hypothesis testing on the population proportion of college male and female statistics students receiving high ("A" or "B") grades. The data are from random samples from the relevant populations.

Sample Size X*

Males (X) 30 + _____ (number of letters in your first name) 13

Females (Y) 30 + _____ (number of letters in your last name) 19

* X is the number of students receiving "A" or "B" grades.

a. The point estimate of the population proportion is:

Males: Females:

b. The sampling standard deviation (standard error) of the sample proportions is:

Males: Females:

c. The 95% confidence interval for the population proportion is

(use point estimate ± error factor format, not LCL and UCL)

Males: __________ ± __________ Females: __________ ± __________

d. What sample size is needed for an error factor "E" of ± 0.02?

Males: Females:

Test the Ho that each population proportion is 0.3500 against the Ha that it is not 0.3500.

e. State the Ho:

Males: Females:

f. State the Ha:

Males: Females:

g. Use alpha = 0.05. State the zt, table-z, or critical value:

Males: Females:

h. The recomputed standard error according to the null hypothesis is:

Males: Females:

i. The zc, calculated-z or test statistic is:

Males: Females:

j. The hypothesis-test conclusion is:

Males: Females:

k. Explain the conclusion.

Males: Females:

l. What is the p-value in this test?

Males: Females:

2. Using the same data, conduct estimation and hypothesis testing on the difference between the population proportions of college male and female statistics students receiving high grades.

a. The point estimate of the difference between population proportions is:

b. The sampling standard deviation (standard error) of the differences between sample proportions is:

c. The 95% confidence interval for the difference between population proportions is (use point estimate ± error factor format, not LCL and UCL)

____________ ± ____________

d. What sample size is needed for an error factor "E" of ± 0.025?

Test the Ho that the population proportions are equal against the Ha that they are not equal.

e. State the Ho:

f. State the Ha:

g. Use alpha = 0.05. State the zt, table-z, or critical value:

h. The recomputed standard error according to the null hypothesis is:

i. The zc, calculated-z or test statistic is:

j. The hypothesis-test conclusion is:

k. Explain the conclusion.

l. What is the p-value in this test?

ATTACH THE > SPREADSHEET. ON THE SPREADSHEET, CIRCLE OR HIGHLIGHT, AND LABEL WITH THE ITEM NUMBER (1a, 1b, etc.), EVERY VALUE THAT YOU HAVE WRITTEN ABOVE. The entire spreadsheet will fit nicely on one page.

For practice, verify the spreadsheet results by calculator.

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