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21 March, 13:50

A manufacturer 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?

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  1. 21 March, 14:04
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    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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