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Statistics II20805 marksNumerical: hypothesis test proportiontest for single proportion

Define type I and type II error in testing of hypothesis. It is claimed that Samsung and Huawei mobiles are equally popular in Kathmandu. A random sample of 600 people from Kathmandu showed 350 have Samsung mobile. Test the claim at 5% level of significance.

Define type I and type II error in testing of hypothesis. It is claimed that Samsung and Huawei mobiles are equally popular in Kathmandu. A random sample of 600 people from Kathmandu showed 350 have Samsung mobile. Test the claim at 5% level of significance. [5]

  • Sample size: $n = 600$ - Number with Samsung: $X = 350$ - Claim: equally popular, so $p0 = 0.5$ - Level of significance: $\alpha = 0.05$ --- Type I Error ($\alpha$): Rejecting the null hypothesis $H0$ when it is actually true. Its probability equals the level of significance $\alpha$. Type II E...
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