Question

A marketing expert for mobile operating system believes that 40% of the users prefer android. If 9 out of 20 choose android over IOS, what can you conclude about the marketing expert’s claim? Use 5% level of significance.

Answer 1

To test the marketing expert's claim that 40% of users prefer Android, we can use a hypothesis test. The p-value is greater than the significance level, so we do not have enough evidence to reject the claim.

Step-by-step explanation:

To test the marketing expert's claim that 40% of users prefer Android, we can use a hypothesis test. Let's set up the null and alternative hypotheses.

Null hypothesis (H0): p = 0.40

Alternative hypothesis (HA): p ≠ 0.40

We can use a binomial test to calculate the p-value. In this case, we have 9 successes (chose Android) out of 20 trials (total users).

The p-value represents the probability of observing a result as extreme as or more extreme than the one observed, assuming the null hypothesis is true. If the p-value is less than the significance level (0.05), we reject the null hypothesis.

Calculating the p-value:

p-value = P(X ≤ 9) + P(X ≥ 11)

Using a binomial probability calculator, the p-value is approximately 0.0689.

Since the p-value (0.0689) is greater than the significance level (0.05), we do not have enough evidence to reject the marketing expert's claim that 40% of users prefer Android. Therefore, we cannot conclude that the claim is inaccurate.