Statistics II20795 marksNumerical: test of proportiontest for single proportion
It is claimed that Samsung and Redmi mobiles are equally popular in Kathmandu. A random sample of 500 people from Kathmandu showed 300 have Samsung mobile. Test the claim at 5% level of significance.
It is claimed that Samsung and Redmi mobiles are equally popular in Kathmandu. A random sample of 500 people from Kathmandu showed 300 have Samsung mobile. Test the claim at 5% level of significance. [5]
- Sample size: $n = 500$ - Samsung users: $X = 300$ - Level of significance: $\alpha = 0.05$ - Claimed proportion (equal popularity): $p0 = 0.5$ --- Sample proportion: $$\hat{p} = \frac{X}{n} = \frac{300}{500} = 0.60$$ - $H0: p = 0.5$ (Samsung and Redmi are equally popular) - $H1: p \neq 0.5$ (no...