Question

Problem 4: Write the claim as an inequality, state the null and alternative hypothesis. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

- A food manufacturers claim that at least 96.5% of their products is organic. [5 points]
- A government agency reports that the male to female ratio in 2019 was 108 to 100. A test is conducted to see if, in fact, the proportion is greater. [5 points]
- In a recent survey, students claimed that the mean number of absences is less than 8 per semester. [5 points]

Answer 1

Solution :

1)

This a left (One) tailed test.

The null and alternative hypothesis is,

Ho: p 0.965

Ha: p < 0.965

2)

This a right (One) tailed test.

The null and alternative hypothesis is,

Ho: p = 0.93

Ha: p 0.93

3)

This is a left (One) tailed test,

The null and alternative hypothesis is,  

Ho: 8

Ha: 8