A Pew Research Center Poll of 1007 randomly selected US adults showed that 85% o
ID: 2947504 • Letter: A
Question
A Pew Research Center Poll of 1007 randomly selected US adults showed that 85% of the respondents know what Twitter is.
1. What is the sampling distribution of the point estimate?
A) z-distribution
B) t-distribution
C) f-distribution
D) uniform distribution
2. When concluding a test or confidence interval, the conclusion must reflect the population.
A test that more than 60% of all US adults know what Twitter is conducted with the following hypotheses: H0: p = 60%, Ha : p > 60%.
Which of the following is a correct conclusion of the test at a 1% level of significance?
A) There is insufficient evidence to reject the null hypothesis at the 1% significance level. Hence, more than 60% of all US adults know what Twitter is.
B) There is sufficient evidence to reject the null hypothesis at the 1% significance level. Hence, 60% of all US adults know what Twitter is.
C) There is insufficient evidence to reject the null hypothesis at the 1% significance level. Hence, 60% of all US adults know what Twitter is.
D) There is sufficient evidence to reject the null hypothesis at the 1% significance level. Hence, more than 60% of all US adults know what Twitter is.
Explanation / Answer
Q1. Given that A Pew Research Center Poll of 1007 randomly selected US adults showed that 85% of the respondents know what Twitter is:
The sampling distribution of point estimate is
A) z-distribution. Since the sample size is large we used z- distribution.
Q2. Here the Pvalue is =0.0002 which is less than 0.01 (that is level of significance) hence we reject the null hypothesis at 1% level of significance. Therefore the conclusion of the test is
D) There is sufficient evidence to reject the null hypothesis at the 1% significance level. Hence, more than 60% of all US adults know what Twitter is.
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