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A magazine is considering the launch of an online edition. The magazine plans to go ahead...

A magazine is considering the launch of an online edition. The magazine plans to go ahead only if it is convinced that more than 20​%of current readers would subscribe. The magazine contacted a simple random sample of 400 current​ subscribers, and 103 of those surveyed expressed interest. What should the magazine​ do?

What are the null and alternative​ hypotheses?

P-Value?

Test Statistic?

math   Statistics-And-Probability   
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Answer #1

Null hypothesis: Но, р-0.20 That is, 20%of current readers would subscribe Alternative hypothesis Ha p>0.20 That is, more than 20%of current readers would subscribe. Rejection rule If p-valuea0.05), then reject the null hypothesis Ho Excel add-in (Mega Stat) procedure: Step 1: In EXCEL, Select Add-Ins> Mega Stat> Hypothesis Tests. Step 2: Choose Proportion vs. Hypothesized Value. Step 3: Choose Data Input. Step 4: In Observed, enter the value 103 under x and enter the value 400 under n Step 5: In Hypothesized, enter the value 0.20 underp Step 6: Enter 0 Under Hypothesized difference. Step 7: Choose greater than in alternative. Step 8: Click OK.Excel add-in (Mega Stat) output: Hypothesis test for proportion vs hypothesized value Observed Hypothesized 0.2575 103/400 103. 400 0.2 p (as decimal) 80/400 p (as fraction) 80. X 400 n 0.02 std. error 2.88 z 0020 p-value (one-tailed, upper) The value of test statist ic is z 2.88 The p-value is 0.0020.

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