In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 56 out of a random sample of 82 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a- 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p < 0.75; H: p = 0.75 O Ho: p = 0.75; H: p* 0.75 O Họ: p = 0.75; H: p > 0.75 O Họ: p0.75; H,p= 0.75 O Họ: p = 0.75; H, :p < 0.75 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. O The Student's t, since np < 5 and ng < 5.

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In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 56 out of a random sample of
82 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is
different from 75% (either higher or lower)? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: P< 0.75; H: p = 0.75
O Ho: P- 0.75; H:p+ 0.75
O Ho: p = 0.75; H,: p > 0.75
O Ho: p+ 0.75; H,: p = 0.75
O Ho: P = 0.75; H: p< 0.75
(b) What sampling distribution will you use?
O The Student's t, since np > 5 and ng > 5.
O The standard normal, since np < 5 and ng < 5.
O The standard normal, since np > 5 and ng > 5.
O The Student's t, since np < 5 and ng < 5.
Transcribed Image Text:In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 56 out of a random sample of 82 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P< 0.75; H: p = 0.75 O Ho: P- 0.75; H:p+ 0.75 O Ho: p = 0.75; H,: p > 0.75 O Ho: p+ 0.75; H,: p = 0.75 O Ho: P = 0.75; H: p< 0.75 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. O The Student's t, since np < 5 and ng < 5.
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