Which of the following represents a type i error for the null and alternative hypotheses h0: μ≤$3,200 and ha: μ> $3,200, where μ is the average amount of money in a savings account for a person aged 30 to 40?
a. type i error would occur if we reject h0 and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.
b. a type i error would occur if we fail to reject h0 and conclude that the average amount is $3,200 or less when in fact the average amount is greater than $3,200.
c. a type i error would occur if we fail to reject h0 and conclude that average amount is less than or equal to $3,200 when in fact the average amount is $3,200 or less.
d. a type i error would occur if we reject h0 and conclude that the average age is less than 30 when in fact the average age is greater than 40.

Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.        

Step-by-step explanation:

We are given the following information in the question:

where μ is the average amount of money in a savings account for a person aged 30 to 40.

Type I error:

Thus, in the above hypothesis type  error will occur when we reject the null hypothesis even when it is true.

Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.

need points to ask question

step-by-step explanation:

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: