in 2010 polls indicated that 73% of americans favored mandatory testing of students in public schools as a way to rate the school.

in 2010 polls indicated that 73% of americans favored mandatory testing of students in public schools as a way to rate the school. this year in a poll of 1,000 americans 72% favor mandatory testing for this purpose. has public opinion changed since 2010?

1 thought on “in 2010 polls indicated that 73% of americans favored mandatory testing of students in public schools as a way to rate the school.”

  1. The Correct option is Option A. Using hypothesis testing, The probability that Americans have changed their opinion on this issue since 2010 is 0.013.
    Hypothesis testing:
    Hypothesis testing is a form of statistical testing which uses data from a sample to determine population parameters or population probability distributions.
    P stands for probability and measures the likelihood that each observed difference between groups is due to chance.
    p-values are computed using the sampling distribution of the test statistic based on the null hypothesis, the sample data, and the type of test performed (bottom-tailed, top-tailed, or two-tailed).
    The p-value for the lower tail test is given by: p-value = P(test statistic < observed test statistic | H 0 is true).
    We have given that, In 2010 ,
    americans favored mandatory testing of students in public schools as a way to rate the school = 73% = 0.73
    In this year sample size= 1000
    Sample proportion= 72% = 0.72
    consider null hypothesis is true means there is a significant change in opinion of people’s .
    and alternative hypothesis implies there is no change in opinion of public .
    Using the sample proportion in both year we see the test statistic value is greater than the observed test statistic value.
    So, P -value is obtained about 0.013
    and it gives null hypothesis can’t be rejected.
    Hence, the probability value 0.013 implies that a significant change in opinion of American public in this year since, 2010.
    To learn more about Hypothesis testing , visit:
    #SPJ4
    Complete question :
    In 2010 polls indicated that 73% of Americans favored mandatory testing of students in public schools as a way to rate the school. This year in a poll of 1,000 Americans 72% favor mandatory testing for this purpose. Has public opinion changed since 2010? We test the hypothesis that the percentage supporting mandatory testing is less than 73% this year. The p-value is 0.013.
    Which of the following interpretation of this p-value is valid?
    A) The probability that Americans have changed their opinion on this issue since 2010 is 0.013.
    B) There is a 1.3% chance that the null hypothesis is true.
    C) If 73% of Americans still favor mandatory testing this year, then there is a 1% chance that poll results will show 72% or fewer with this opinion .

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