Question

Surveys have become an integral part of our lives. They directly affect us in so many ways, including public policy, the television shows we watch, the products we buy, and the political leaders we elect. Because it is so important that every citizen has the ability to interpret survey results, we focus on surveys for this discussion.

In a recent Pew Research Center poll, 1501 adults were randomly selected and asked this question, " From what you've read and heard, is there solid evidence that the average temperature on earth has been increasing over the past few decades, or not? Seventy percent of the 1501 respondents answered "yes."

1. Would it or would it not be okay for the newspaper to make this statement: "Based on results from a recent survey, the majority of adults believe that there is solid evidence of global warming."

2. A common criticism of surveys is that they poll only a very small percentage of the population and therefore cannot be accurate. Is a sample of only 1501 adults a sample size that is too small? Write a brief explanation of why the sample size of 1501 is or is not too small.

Answer 1

Answer:

1.

Let the extent

i.e.,

Proportion, p = number of individuals state yes

So

p = 0.70

Now to test that whether there is significant difference in results from the review, the z test for the one extent is utilized since the example information esteems fulfill the ordinariness condition i.e.,

np > 10

So now the null & alternative hypothesis are characterized as follows

i.e.,

Null hypothesis Ho : p = 0.50

Alternative hypothesis HA : p > 0.50

So now the z-statistic is gotten utilizing the equation which is given as follows

i.e.

P - Po Po(1-po)

| 0.70 - 0.50 10.50(1-40.50) 1501

2-15.4971

The p-value can be given from z - table for z = 15.4971

P-value = 0

Since the P-value is 0 < 0.01 at 1% level of significance , thus the paper can own this expression.

2)

Now the example i.e., sample size of 1501 is more noteworthy than 30 to play out the factual test and clearly under 10% of the populace,

for example the example pursues the 10% guideline to such an extent that example size is 10% or less of the populace (10% principle) when examining is being managed without substitution.

Thus we can presume that example size of 1501 isn't excessively little.