A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 90% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. Group of answer choices 0.308 < p < 0.438 0.301 < p < 0.445 0.316 < p < 0.430 0.327 < p < 0.419

Complete Question

A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. Group of answer choices

A 0.308 < p < 0.438

B 0.301 < p < 0.445

C  0.316 < p < 0.430

D 0.327 < p < 0.419

The correction option is A

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  300

     Th number that are in favor is k = 112

   Generally the sample proportion is mathematically represented as  

=>        

=>          

From the question we are told the confidence level is  98% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as  

=>  

=>  

Generally 95% confidence interval is mathematically represented as  

=>  

=>  

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5