Question

Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing H0: p = 0.5 versus Ha: p ≠ 0.5 based on a random sample of 25 individuals. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of X.

(b) Suppose that x = 5. Which other values of X are at least as contradictory to H0 as this one? (Enter your answers as a comma-separated list.)

Use it to compute the P-value when

x = 5.  (Round your answer to three decimal places.)

(d)

If H₀ is to be rejected when P-value ≤ 0.044,

compute the probability of a type II error when

p = 0.4,

again when

p = 0.3,

and also when

p = 0.6

and

p = 0.7.

[Hint:

P-value > 0.044

is equivalent to what inequalities involving x? Keep in mind that

P(type II error when p = 0.4) = P(H₀ is not rejected when p = 0.4).]

(Round your answers to three decimal places.)

p = 0.4p = 0.3p = 0.6p = 0.7

Answer 1

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