Suppose a consumer group suspects that the proportion of households that have three or more cell phones is 39%. A cell phone company has reason to believe that the proportion is not 39%. Before they start a big advertising campaign, they conduct a hypothesis test. Their marketing people survey 186 households with the result that 93 of the households have three or more cell phones. Conduct a hypothesis test to test the cell phone company’s belief at the 5% significance level.  show all steps

A political candidate has asked you to conduct a poll to determine what percentage of people support her.If the candidate only wants a 3% margin of error at a 99% confidence level, what is the minimum sample size needed for the study?Give your answer as a whole number.

A political researcher takes a survey of 310 randomly selected registered voters in Orlando, and each person was asked who they plan on voting for in the 2024 presidential election. 110 said they plan on voting for Candidate A, 185 said they plan on voting for Candidate B, and 15 were unsure or plan to vote for another candidate. The researcher wants to construct a 95% confidence interval for the proportion of all registered voters in Orlando who plan to vote for Candidate B. What is the point estimate? Round final answer to 3 decimal places.

One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0      H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…

The last poll of 144 voters in Iowa shows that 19% of voters will vote for him in the Iowa Presidential Caucus.  What is the 99% confidence interval of his support level in Iowa?

A study found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the study? What is the p-value?

A curious student wants to see if she can conclude that a higherproportion of Woodland College students transfer to Sac State than Yuba College students. He samples 82 Woodland College students and finds that 23 of them transferred to Sac State. He also samples 95 Yuba college students and finds that 21 of them transferred to Sac State. What can be concluded at a 5% significance level? Use the pvalue approach.

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?

Students at a certain college were asked if they have a car. After surveying 354 students, it was found that 26.7% of them have a car. The margin of error was 4.7% with a 95% confidence ievel. What does this margin of error tell you about the percentage of students at that college who have a car? We can be 95% confident that somewhere between % and % of the students at that college have a car.