According to an exit poll for an​ election,54.8 ​% of the sample size of 831 reported voting for a specific candidate. Is this enough evidence to predict who​ won? Test that the population proportion who voted for this candidate was 0.50 against the alternative that it differed from 0.50. Report the test statistic and​ P-value and interpret the latter.

A Gallup poll of 1487 adults showed that 43% of the respondents have Facebook pages.  Construct a 95% confidence interval for the proportion of adults who have a Facebook page.

A poll reported 59% support for a statewide election with a margin of error of 4.37 percentage points. How many voters should be sampled for a 99% confidence interval? Round up to the nearest whole number.

Baylor University is interested in what proportion of applicants would like to enter statistics department. Of a random sample of 100 applicants, 24 chose the department. Construct a 99% confidence interval for the true proportion of all applicants that prefer statistics.

Portland State University (PSU) reported that 64% of their students receive financial aid. A PSU administrator feels that their school may have a different proportion compared to all of Oregon schools. A random sample of 409 students in Oregon found that 259 receive financial aid. Test the claim that proportion of students that receive financial aid in Oregon is different than PSU. Use a 1% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) Ho: Select an answer ?v H₁: Select an answer ? ✓ Based on the hypotheses, compute the following: b. Test Statistic = c. p-value = d. Based on the above we choose to Select an answer e. The correct summary would be: Select an answer that the proportion of students that receive financial aid in Oregon is different than the PSU reported value of 64%.

A newsletter publisher believes that 48 % of their readers own a laptop. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.10 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher’s claim?

Car and Driver Magazine tested a random sample of 9 hybrid cars and found their MPG to be 42, 51, 39, 44, 52, 48, 51, 44, and 47. Construct a 95% confidence interval for the population variance.

When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. 3. a. Find a 99% confidence interval estimate of the percentage of yellow peas.

When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.