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. 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.
b. 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.
c. a type i error would occur if we fail to reject h0 and conclude that the average amount is less than or equal to $3,200 when in fact the average amount is $3,200 or less.

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:

The null and alternative hypotheses:

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

Type I error:

Thus, for the given hypothesis test type I error is represented as:

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:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

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step-by-step explanation: