Alpha false and true which of the following statements are true? if false, explain briefly.
a) it is better to use an alpha level of 0.05 than an alpha level of 0.01.
b) if we use an alpha level of 0.01, then a p-value of 0.001 is statistically significant.
c) if we use an alpha level of 0.01, then we reject the null hypothesis if the p-value is 0.001.
d) if the p-value is 0.01, we reject the null hypothesis for any alpha level greater than 0.01.

A. False

B. True

C. True

D.True

Step-by-step explanation:

A. False . The significance level or alpha is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. 0.01 alpha is better than 0.05 alpha . 0.01 indicate a 1% risk of rejecting the null hypothesis when it is true .

B. True . If the p-value is less than alpha, we reject the null hypothesis . Therefore statistically significant.

C . True . If the p-value is less than alpha, we reject the null hypothesis

D. True . Alpha will be greater than p-value . Therefore we will reject .

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

he earned 78.75 in interest.

step-by-step explanation: