In 2014, the Pew Research Centers American Trends Panel sought to better understand what Americans know about science. It was observed that among a ra
Tazmin Horton
Answered question
2020-12-02
Answer & Explanation
Theodore Schwartz
Skilled2020-12-03Added 99 answers
Step 1
Solution:
Let X be the number of adults correctly interpret a scatterplot and n be the sample number of adults.
From the given information, X=2065 and n=3278.
The given claim is that more than 60% of Americans are able to correctly interpret scatterplots.
State the hypotheses.
Null hypothesis:
That is, the proportion of Americans are able to correctly interpret is not more than 0.60.
Alternative hypothesis:
That is, the proportion of Americans are able to correctly interpret is more than 0.60.
Step 3:
The sample proportion is
then,the test statistic is
Step 4
The p value is obtained by using EXCEL
P-value
Thus the p value is 0.0002
Step 5
Rejection rule:
If the P-value is less than or equal to 0.05, then reject the null hypothesis.
Conclusion:
Here, the P-value is 0.0002.
This is less than 0.05.
By the rejection rule, reject the null hypothesis.
Thus, there is good evidence that more than 60% of Americans are able to correctly interpret scatterplots.
New Questions in High school statistics
Read carefully and choose only one option
A statistic is an unbiased estimator of a parameter when (a) the statistic is calculated from a random sample. (b) in a single sample, the value of the statistic is equal to the value of the parameter. (c) in many samples, the values of the statistic are very close to the value of the parameter. (d) in many samples, the values of the statistic are centered at the value of the parameter. (e) in many samples, the distribution of the statistic has a shape that is approximately NormalConstruct all random samples consisting three observations from the given data. Arrange the observations in ascending order without replacement and repetition.
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B) 2, 6
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