Question 272088: Historically, the publisher of Golf Illustrated has found that 62% of its subscribers renew their subscriptions. Because of the advent of the Internet and cable television, the publisher is concerned that the proportion of subscribers who renew their subscriptions may be declining. The publisher selects a random sample of 200 subscribers and finds that 104 plan to renew their subscriptions. Use (a=0.025). p = the population of subscribers to Golf Illustrated who renew. Calculate the p-value.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Historically, the publisher of Golf Illustrated has found that 62% of its subscribers renew their subscriptions. Because of the advent of the Internet and cable television, the publisher is concerned that the proportion of subscribers who renew their subscriptions may be declining. The publisher selects a random sample of 200 subscribers and finds that 104 plan to renew their subscriptions. Use (a=0.025). p = the population of subscribers to Golf Illustrated who renew. Calculate the p-value.
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Ho: u = 0.62
Ha: u < 0.62
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Sample proportion = 104/200 = 0.52
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z(0.52) = (0.52-0.62)/sqrt(0.62*0.38/200)= -2.9136
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P-value = P(z< -2.9136) = normalcdf(-100,-2.9136) = 0.0018
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Cheers,
Stan H.
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