Perform a one-tailed test. Then fill in the table below. Carry your intermediate

Question

Perform a one-tailed test.

Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

Null hypothesis:
Alternative hypothesis:
Type of test statistics: Z test
Value of test statistic (round to 3 decimals)
The critical value at 0.05 (round 3 decimal places)

Can we reject the claim that the proportion of students who commute more than 15 miles is no more than 15%?   

Explanation / Answer

The statistical software output for this problem is:

One sample proportion hypothesis test:
p : Proportion of successes
H0 : p = 0.15
HA : p > 0.15

Hypothesis test results:

Hence,

Null hypothesis: p < 0.15

Alternative hypothesis: p > 0.15

Test Statistic = 0.464

Critical value at 0.05 = 1.645

Since test statistic is less than critical value, we do not reject the claim that the proportion of students who commute more than 15 miles is no more than 15%.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 44 275 0.16 0.021532217 0.46442036 0.3212

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