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%.

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