Question

The X firm Covid-19 disease detection test kit should not be less than dakika = 15 minutes for any individual. claims to complete the scan successfully in time. This is randomly selected n = 80 people. test used and average test time ? ’= 18 minutes and standard deviation ? = 8 minutes. a) Test the accuracy of the claim with a = 0.01 significance level (99% confidence interval). b) Test the accuracy of the claim with a = 0.05 significance level (95% confidence interval). **** Set up the H0 and H1 Hypothesis testing. Is the claim correct? Your review. Your comment is set up by you can draw different conclusions according to hypotheses. Testing single tail or double tail is yours is your choice. Hint: Convert z for standard normal distribution and change the probability values ​​from the z table Calculate using. Z (hypothesis) = ?ℎ = (Μ'-μ) σ/√?

Answer 1

The claim is that  test kit should not be less than dakika = 15 minutes for any individual.

The null and alternative hypothesis are,

Null hypothesis is the claim.

Given , n = 80, , minutes.

The test statistic is given by,

Z = 3.354

P-value = 0.0008 < 0.05, 0.01

At level of significance, = 0.01, 0.05, we reject the null hypothesis . i.e. we reject the claim.

If the P value is less than alpha, the confidence interval will not contain the null hypothesis value.

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