A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99​% confident that his estimate is in error by no more than five percentage points? Complete parts​ (a) through​ (c) below. ​a) Assume that nothing is known about the percentage of computers with new operating systems.   n=nothing ​(Round up to the nearest​ integer.) ​b) Assume that a recent survey suggests that about 93​% of computers use a new operating system.   n=nothing ​(Round up to the nearest​ integer.) ​c) Does the additional survey information from part​ (b) have much of an effect on the sample size that is​ required?     A. ​No, using the additional survey information from part​ (b) does not change the sample size.   B. ​No, using the additional survey information from part​ (b) only slightly increases the sample size.   C. ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.   D. ​Yes, using the additional survey information from part​ (b) dramatically increases the sample size.

Social media is becoming more and more popular around the world. Suppose a website provides estimates of the number of social media users in various countries. Assume that the results for surveys in the United Kingdom, China, Russia, and the United States are as follows. Use Social Media Yes No United Kingdom 480 320 Country China Russia 235 265 343 Need Help? 357 O Ho: All population proportions are not equal. H₂: P₁ = P₂ = P3 = P4 Read It OHO: Not all population proportions are equal. Ha: P₁ = P₂ = P3 = P4 (a) Conduct a hypothesis test to determine whether the proportion of adults using social media is equal for all four countries. State the null and alternative hypotheses. O Ho: P₁ = P₂ = P3 = P4 H₂: Not all population proportions are equal. United States 620 380 Ho: P₁ = P₂ = P3 = P4 H: All population proportions are not equal. Find the value of the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value =…

The Department of the Census provides the following data table.   single married widowed divorced total Male .129 .298 .013 .040 .48 Female   .305 .057 .054 .52 Total .233 .603 .070 .094 1.0   a) Fill in the missing word for each of the totals. (What is being totaled in each column/row?) b) Find P(Widowed and Male). = .013 c) Find P(Widowed)=.070 d) Find P(Married or Female). Write out the formula you use so I know that you know what you are doing. e) Find P(Widowed and Divorced). Explain your answer. f) Are Divorced and Male Mutually Exclusive events. Why or why not?

The accompanying table gives the population of 6 regions in 2008 and the area of these regions. Use the table to answer the following questions. Complete parts​ (a) through​ (c) below.   LOADING... Click the icon to view the data table.       a. Determine and report the rankings of the population density by dividing each population by the number of square miles to get the population density​ (in people per square​ mile). Use rank 1 for the highest density and 6 for the lowest density.   Region Population Area ​(square miles) Population Density Rank Rate A 12,459,500 49,919 nothing ▼   3 4 6 1 5 2 B 12,982,395 59,329 nothing ▼   4 1 6 2 5 3 C 18,345,648 45,938 nothing ▼   2 6 1 4 3 5 D 19,433,196 49,599 nothing ▼   1 4 6 3 2 5 E 24,385,213 267,477 nothing ▼   3 1 2 5 4 6 F 36,784,071 150,713 nothing ▼   5 3 6 4 1 2 ​(Round to two decimal places as​…