(Round all intermediate calculations to at least 4 decimal places.) (Use Excel)

Question

(Round all intermediate calculations to at least 4 decimal places.)

(Use Excel) A recent report suggests that business majors spend the least amount of time on course work than do all other college students (New York Times, November 17, 2011). A provost of a university conducts a survey of 50 business and 50 nonbusiness students. Students are asked if they study hard, defined as spending at least 20 hours per week on course work. The response shows “yes” if they study hard or “no” otherwise. Access the data accompanying this exercise; a portion is shown in the following table. Use Table 1.

At the 5% level of significance, determine if the proportion of business majors who study hard is less than 20%. First, specify the competing hypotheses to test this belief.

Calculate the value of the test statistic and the critical value. (Negative value should be indicated by a minus sign. Round "Test statistic" to 2 decimal places and "Critical value" to 3 decimal places.)

(Click to select)RejectDo not reject H0. At the 5% level of significance, the proportion of business majors who study hard (Click to select)cancannot be shown to be less than 20%.

At the 5% level of significance, determine if the proportion of nonbusiness majors who study hard is more than 20%. First, specify the competing hypotheses to test this belief.

Calculate the value of the test statistic and the critical value. (Round "Test statistic" to 2 decimal places and "Critical value" to 3 decimal places.)

(Click to select)RejectDo not reject H0. At the 5% level of significance, the proportion of nonbusiness majors who study hard (Click to select)isis not more than 20%.

(Round all intermediate calculations to at least 4 decimal places.)

(Use Excel) A recent report suggests that business majors spend the least amount of time on course work than do all other college students (New York Times, November 17, 2011). A provost of a university conducts a survey of 50 business and 50 nonbusiness students. Students are asked if they study hard, defined as spending at least 20 hours per week on course work. The response shows “yes” if they study hard or “no” otherwise. Access the data accompanying this exercise; a portion is shown in the following table. Use Table 1.

Explanation / Answer

Statistical software output for Business majors is:

One sample proportion hypothesis test:
Outcomes in : Business Majors
Success : Yes
p : Proportion of successes
H0 : p >= 0.2
HA : p < 0.2

Hypothesis test results:

So,

a-1) Option B is correct.

a-2) Test Statistic = - 0.71

Critical Value = - 1.645

a-3) Do not reject H0. At the 5% level of significance, the proportion of business majors who study hard cannot be shown to be less than 20%.

Statistical software output for non - business majors are:

One sample proportion hypothesis test:
Outcomes in : Non-business Majors
Success : Yes
p : Proportion of successes
H0 : p = 0.2
HA : p > 0.2

Hypothesis test results:

So,

b-1) Option C is correct.

b-2) Test Statistic = 2.47

Critical Value = 1.645

b-3) Reject H0. At the 5% level of significance, the proportion of nonbusiness majors who study hard is more than 20%.

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