In a fishing lodge brochure, the lodge advertises that \( 75 \% \) of its guests catch northem pike over 20 pounds. Suppose that last summer 71 out of a random sample of 88 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 \( \alpha=0.05 \). USE SALT (a) What is the level of significance? \[ 0.05 \] State the null and alternate hypotheses. \( H_{0}: p \neq 0.75 ; H_{1}: p=0.75 \) \( H_{0}: p=0.75 ; H_{1}: p>0.75 \) \( H_{0}: p<0.75 ; H_{1}: p=0.75 \) \( H_{0}: p=0.75 ; H_{1}: p \neq 0.75 \) \( H_{0}: p=0.75 ; H_{1}: p<0.75 \) (b) What sampling distribution will you use? The Student's \( t \), since \( n p>5 \) and \( n q>5 \). The standard normal, since \( n p<5 \) and \( n q<5 \). The Student's \( t \), since \( n p<5 \) and \( n q<5 \). The standard normal, since \( n p>5 \) and \( n q>5 \).
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The level of significance, denoted as \( \alpha \), is given in the problem as \( 0.05 \). This value is used to determine the critical value for the hypothesis test and to assess the probability of rejecting the null hypothesis when it is actually true. Show more…
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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 67 out of a random sample of 80 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 𝛼 = 0.05.
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Fishing: Northern Pike Athabasca Fishing Lodge is located on Lake Athabasca in northern Canada. In one of its recent brochures, the lodge advertises that $75 \%$ of its guests catch northern pike over 20 pounds. Suppose that last summer 64 out of a random sample of 83 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 $\alpha=0.05.$
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