Question

In 1997, a survey of 880 households showed that 139 of them use e-mail. Use those sample results to test the claim that more than 15% of households use e-mail. Use a 0.05 significance level.

In 1997, a survey of 880 households showed that 139 of them use e-mail. Use those sample results to test the claim that more than 15 % of households use e-mail. Use a 0.05 significance level. Use this information to answer the following questions. a. Which of the following is the hypothesis test to be conducted? OA. Ho: p 0.15 H p<0.15 O C. Ho: p 0.15 H p 0.15 O B. Ho: p>0.15 H p 0.15 OD. Ho: p 0.15 H p 0.15 OE. Ho: p<0.15 H p 0.15 O F. Ho: p 0.15 H p>0.15 b. What is the P-value? P-value (Round to four decimal places as needed.) c. What is the conclusion? There is not sufficient evidence to support the claim that more than 15 % of households use e-mail. O There is sufficient evidence to support the claim that more than 15% of households use e-mail.

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Answer 1

The statistic software output for this problem is:

One sample proportion summary hypothesis test: P: Proportion of successes Ho: P = 0.15 HA:p > 0.15 Hypothesis test results: Proportion Count Total Sample Prop. Std. Err. Z-Stat 139 880 0.15795455 0.012036875 0.66084805 P-value 0.2544

(a)

F

H₀ : p = 0.15
H_A : p > 0.15

(b)

P-value = 0.2544

(c)

There is not sufficient evidence to support the claim that more than 15% of households use e-mail