Where people turn for news is different for various age groups. A study was conducted on the use of cellphones for acces

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Where people turn for news is different for various age groups. A study was conducted on the use of cellphones for acces

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Where People Turn For News Is Different For Various Age Groups A Study Was Conducted On The Use Of Cellphones For Acces 1
Where People Turn For News Is Different For Various Age Groups A Study Was Conducted On The Use Of Cellphones For Acces 1 (11.64 KiB) Viewed 27 times
Where people turn for news is different for various age groups. A study was conducted on the use of cellphones for accessing news. The study reported that 31% of users from a certain region under age 50 and 16% of users from the region age 50 and over accessed news on their cellphones. Suppose that the survey consisted of 1,000 users under age 50, of whom 310 accessed news on their cellphones, and 1,100 users age 50 and over, of whom 176 accessed news on their cellphones. Complete parts (a) through (c) below.

a. Is there evidence of a significant difference in the proportion of users under age 50 and users 50 years and older that accessed the news on their cellphones? (Use a = 0.05.) State the null and alternative hypotheses, where ay is the population proportion of users under age 50 from the region that access news on their cellphones and ty is the population proportion of users from the region age 50 and over that access news on their cellphones. O A. Ho: Ty *12 H: 19 = 12 OC. Ho ty = 12 H: 11 <12 E. H: 14 =12 H: 1, 12 OB. Ho Ty #12 на: па > 12 OD. H: 14 =12 Hp : Tg > 2 OF. Ho: 11 * 12 H₂:21 <12 Determine the value of the test statistic. ZSTAT = 12.0258 (Round to four decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are) - 1.96,1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. Reject the null hypothesis. There is sufficient evidence to support the claim that there is a significant difference in the proportion of users under age 50 and users 50 years and older that accessed the news on their cellphones. b. Determine the p-value in (a) and interpret its meaning. The probability of obtaining a difference in proportions that gives rise to a test statistic equal to or more extreme than the test statistic is equal to the p-value of 0.000 if there is no difference between the population proportions of users under 50 and users that are 50 or over that access news on their cellphones. (Round to four decimal places as needed.) c. Construct and interpret a 95% confidence interval estimate for the difference between the population proportion of users under 50 years old and those 50 years or older who access the news on their cellphones The researchers performing this study can be 95% confident that the difference in the population proportion of users under 50 and users that are 50 or over that access news on their cellphones is contained in the interval from 0.2207 to 0.2993 (Round to four decimal places as needed.)
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