Question

State the null and alternative hypotheses in testing following claims: (a) At most, 20% of next year’s wheat crop will be exported to UK. (b) On the average, homemakers drink 3 cups of tea per day. (c) The proportion of university graduates in this year who majored in the data analytics is at least 0.15. (d) The average donation to the Indian Council for Medical Research is no more than Rs. 10. (e) Residents in Gujarat commute, on the average, 15 kilometers to their place of employment

Answer 1

A) Null hypothesis: H0: p_o ≤ 0.2

Alternative hypothesis: Ha: p_o > 0.2

B) Null hypothesis: H0: μ = 3

Alternative hypothesis: Ha: μ ≠ 3

C) Null hypothesis: H0: p_o ≥ 0.15

Alternative hypothesis: Ha: p_o < 0.15

D) Null hypothesis: H0: μ ≤ 10

Alternative hypothesis: Ha: μ > 10

E) Null hypothesis: H0: μ = 15

Alternative hypothesis: Ha: μ ≠ 15

Explanation:

A) Null hypothesis: H0: p_o ≤ 0.2

Alternative hypothesis: Ha: p_o > 0.2

B) Null hypothesis: H0: μ = 3

Alternative hypothesis: Ha: μ ≠ 3

C) Null hypothesis: H0: p_o ≥ 0.15

Alternative hypothesis: Ha: p_o < 0.15

D) Null hypothesis: H0: μ ≤ 10

Alternative hypothesis: Ha: μ > 10

E) Null hypothesis: H0: μ = 15

Alternative hypothesis: Ha: μ ≠ 15