At your college, there is a school-sponsored website that matches people looking for roommates. The school claims that 39% of students will find a match their first time using the site. You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 175 students who visited the site looking for a roommate. Of the students surveyed, 77 said they found a match their first time using the site. You confirm that it is appropriate to perform a Z-test. Find z, the value of the test statistic for your z-test. Round your answer to three or more decimal places. z=

According to a U.S. news poll, 38% of students in the class of 2013 had done an internship during their time as an undergraduate student. Dana is interested in finding out whether students at her university had an internship rate that was higher than the national average. She obtained a list of 25 randomly selected students from the population of all students at her university by requesting this information from the university’s institutional research office. She collected the responses and calculated that the proportion for her university was 43%.Which one of the following statements about the z-test is correct? It is not safe to use the z-test for p, since n * po is not large enough. It is safe to use the z-test for p. It is not safe to use the z-test for p, since the sample is not a random sample from the entire population (or cannot be considered as one). It is not safe to use the z-test for p, since n * (1 − po) is not large enough.

According to a Pew Research Center, in May 2011, 35% of all American adults had a smartphone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students.She selects 300 community college students at random and finds that 120 of them have a smartphone. In testing the hypotheses H0, P = 0.35, versus Ha, p > 0.35, she calculates the test statistic as Z = 1.82.Use the normal table to identify the appropriate p-value for this Z score.Click here to access the normal table.Given these results, which of the following is an appropriate conclusion? There is enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.034). There is enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.068). There is not enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.966). There is not enough evidence to show that more than 35% of community college students own a smartphone (p-value = 0.034).

What does the z-test assess in statistical analysis?*1 pointDifference between sample and population meanCorrelation between two variablesVariance within a single sampleEquality of sample sizes

In a z-test, what is the null hypothesis typically stating?*1 pointThe sample mean is equal to the population meanThe variance within the sample is significantThere is no correlation between variablesThere is a significant difference between sample means

A survey is conducted to determine if there’s a significant preference for online shopping over traditional in-store shopping among a random group of individuals.From a sample of 100 individuals, the average preference for online shopping is 0.48, with a standard deviation of 0.03. The population mean preference is 0.50. Use a 5% significance level. Perform a one-tailed Z-test to calculate the p-value and make conclusions.