Question

Last year, 10 percent of all teenagers purchased a new iphone. this year, a sample of 260 randomly chosen teenagers showed that 39 had purchased a new iphone. to test whether the percentage has risen, the p-value is approximately a. 0.0492. b. 0.0036. c. 0.0314. d. 0.0501.

1) 0.0492
2) 0.0036
3) 0.0314
4) 0.0501

Answer 1

To test whether the percentage has risen or not, we need to conduct a hypothesis test. The p-value is approximately 0.0492, which is less than the significance level of 0.05. Therefore, we reject the null hypothesis and conclude that the percentage of teenagers who purchased a new iPhone has risen.

Step-by-step explanation:

To test whether the percentage has risen, we need to conduct a hypothesis test. The null hypothesis states that the true proportion of teenagers who purchased a new iPhone is 10% (same as last year), while the alternative hypothesis states that the true proportion is higher than 10%.

Using the given information, we calculate the test statistic and obtain a p-value of approximately 0.0492. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis. This indicates that there is sufficient evidence to conclude that the percentage of teenagers who purchased a new iPhone has indeed risen.

The answer is 1) 0.0492.