Question

A 2018 poll of 3603 randomly selected users of a social media site found that 1697 get most of their news about world events on the site. Research done in 2013 found that only 45​% of all the site users reported getting their news about world events on this site. a. Does this sample give evidence that the proportion of site users who get their world news on this site has changed since​ 2013

Answer 1

Answer:

Reject H0; there is significant evidence that the proportion of site users who get their world news on this site has changed since​ 2013 and is significantly different from 45%

Step-by-step explanation:

Sample size, n = 3603

x = 1697

Phat = x/n = 1697/3603 = 0.4709 =47.09%

H0 : p = 0.45

H1 : p > 0.45

The test statistic :

(phat - p) / sqrt[(p(1 - p)) /n]

(0.4709 - 0.45) / sqrt[(0.45(0.55))/3603]

0.0209 / 0.00828810932

Test statistic = 2.5217

The Pvalue :

Using the Pvalue from Test statistic calculator ; α = 0.05 ;

Pvalue at 95% confidence = 0.005839

Pvalue < α ;

Hence, we reject the Null

Therefore, we conclude that the sample gives evidence that the proportion of site users who get their world news on this site has changed since​ 2013.