Statistical Methods I (MAT 152)

According to a Pew Research poll conducted in March 2022, 61% of U.S. adults say abortion should be legal in all or most cases. They used a random sample of n=10,441 people where 6369 said that abortion should be legal in all or most cases. Test the claim that more than 61% of U.S. adults believe that abortion should be legal in all or most cases, using a 0.05 significance level.

According to a Pew Research poll conducted in March 2022 involving n=556 parents, 133 said that their child spent too much time on social media. Test the claim that the percentage of U.S. parents who would answer “too much time” is 24%, using a 0.01 significance level. (Hint: This is a two-tailed test).

Our hypothesis is that female super models have a height greater than the mean heights of women in general. The mean of the general population is 62.3 inches (5.2 ft). We sample 12 super models and get a mean of 69.6 inches (5.8 ft). Given a sample standard deviation of 2.4 (that means σ is unknown) and will use an alpha α of 0.01. Find the p value.

If 1080 of 2000 people sampled dressed up for Halloween and I want to construct a 90% CI.... Use the calculator procedure shown in class or look back on the PP slide to calculate the Confidence Interval.

Given Confidence Interval of (1, 7), calculate the MOE?

Given a Confidence Interval of (1,7), what is x bar (mean)?