Question
In hypothesis testing, which of the following statements
best describes the null hypothesis?Solution
The null hypothesis (H0) in hypothesis testing represents a default position that there is no significant effect or relationship between the groups or variables being studied, and any observed difference is due to random chance. It serves as a baseline that researchers seek to test against the alternative hypothesis (H1), which proposes that there is a real effect or difference. Hypothesis testing aims to provide statistical evidence to either reject or fail to reject the null hypothesis, depending on whether the observed data supports a significant effect beyond random chance. Option A is incorrect as the null hypothesis assumes no significant difference, not the opposite. Option C is incorrect as the null hypothesis does not automatically accept the alternative hypothesis. Option D is incorrect because the null hypothesis can be used for any sample size, with different tests suited for small and large samples. Option E is incorrect because the null hypothesis acceptance or rejection does not imply certainty but rather a statistically significant likelihood.
Suppose a shopkeeper offers a 10% discount on the marked price of an item and still earns a 10% profit. If the discount had not been applied, what would...
A regular hexagon has a side length of 6 units. What is the area of the hexagon?
A is a skew-symmetric matrix of odd order, then which of the following is true?
The ratio of Pawan's income to Qureshi's income is 6:5. Pawan spends 75% of his income, while Qureshi saves 24% of his income. What percentage of Pawan'...
An amount of Rs. 13,000 is invested at a certain annual compound interest rate, with interest compounded yearly. After 2 years, the total amount grows t...
Quantity I: A shopkeeper sold an article for Rs.1500 and made a profit of Y%. If he increases the selling price by Rs.400, he can make a profit of (Y +...
A merchant has two types of sugar. Type A costs 50 per kg, and Type B costs 70 per kg. In what ratio should the two types be mixed to get a mixture that...
A trader cheats by using a weighing scale that shows 1 kg while actually giving only 900 grams. He also marks up the goods by 25% and then gives a 10% d...
900 metres long train crosses a man who is moving in the same direction with a certain speed, in 30 seconds. If the same train can cross a tree in 20 se...