Among 2450 randomly selected male car occupants over the age of 8, 76% wear seatbelts. Among 2900 randomly selected female car occupants over the age of 8, 74% wear seat belts. Use a 0.1 significance level to test the claim that both genders have the same rate of seat belt use. Does there appear to be a gender gap? a. There appears to be a gender gap because there is not a significant difference in the proportions.
b. There does not appear to be a gender gap because there is a significant difference in the proportions.
c. There does not appear to be a gender gap because there is not a significant difference in the proportions.
d. There appears to be a gender gap because there is a significant difference in the proportions.

The correct option is D

Step-by-step explanation:

From the question we are told that

   The sample size for male car occupant is  

   The number that wear seat belt is

   The sample size for female car occupant is

   The number that wear a seat belt is  

Generally the population proportion is mathematically represented as

=>    

=>  

The sample proportion for male  car occupant is  

=>    

=>    

The sample proportion for female car occupant is  

=>    

=>    

The null hypothesis is  

The alternative hypothesis is  

Generally the standard error is mathematically represented as

=>      

=>    

Generally the test statistics is mathematically represented as

=>  

=>  

From the z table  the area under the normal curve to the right  corresponding to  3.37 is  

Generally the p-value is mathematically represented as

From the value obtained we see that    hence  

The decision rule is  

  Reject the null hypothesis

The conclusion is

 There appears to be a gender gap because there is a significant difference in the proportions

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."