Question

Question 17

A Pew Poll in 2010, found that 50% of adults aged 25-29 had access to only a cell phone, while 40% had access to both a cellphone and landline and 10% had access to only a landline. We wish to conduct a Goodness of Fit Test to see if the results of a poll of a random sample of 130 adults aged 25-29 are significantly different from the 2010 poll results.

The random sample of 130 adults found that 69 had access to only a cell phone, 39 had access to only a landline, and 22 had access to both types of phones.

The chi-square statistic was calculated as 9.73 and has a p-value of 0.0077.Using α=0.01 what can you conclude?

	A.	There is not enough evidence that the distribution is different than in 2010.
	B.	There is enough evidence that the distribution is the same as in 2010.
	C.	There is enough evidence that the distribution is different than in 2010.
	D.	There is not enough evidence the distribution is the same as in 2010.

Answer 1

Chi-square test statistic, $\chi^2$ = 9.73

p-value = 0.0077

Significance level, $\alpha$ = 0.01

As p- value = 0.0077 < $\alpha$ = 0.01, we reject the null hypothesis.

Conclusion:

Answer C: There is enough evidence that the distribution is different than in 2010.