Amanufacturer claims that 40% of households are planning to purchase a new television in the next two years. an investment analyst is skeptical of this claim. in a survey of 1,010 randomly selected american households, only 374 responded that they plan to purchase a tv in the next two years. is there convincing evidence that less than 40% of u. s. households plan to purchase a tv? what are the appropriate hypotheses for this test?

There is convincing evidence that less than 40% of US households plan to purchase television in the next two years.

Null hypothesis H•= 40%

Alternative Hypothesis Hi < 40%

Step-by-step explanation:

Null hypothesis H•= 40%

From the survey, percentage of household that responded that they plan to buy new television in the next two years is given by

= 374/1010 × 100%

= 37%

Therefore,

Alternative Hypothesis Hi<40%

Hence, there is convincing evidence that less than 40% of US households plan to purchase television in the next two years. Since both null and alternative Hypothesis are less than or equal to 40%.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm