Question

Wear a Mask?  Earlier studies (March, 2020) of the Los Angeles response to the COVID-19 epidemic indicated that 76% of Los Angeles based residents wear a mask consistently when outdoors. A research virologist believes that TODAY (June 1, 2020), this rate is much different.  She conducts a survey of 200 randomly selected Los Angeles residents and finds that 124 of them wear a mask consistently when outdoors. Conduct the appropriate hypothesis test that addresses the virologist’s suspicions. Test at a 10% level of significance.

                           [ Select ]                       ["represents the true population proportion of Los Angeles residents that wear a mask consistently when outdoors as of June 1", "represents the true population proportion of Los Angeles residents that wear a mask consistently when outdoors in March", "represents the true population mean number of Los Angeles residents that wear a mask consistently when outdoors as of June 1", "represents the true population mean number of Los Angeles residents infected with the COVID-19 virus as of June 1"]         (4 points) Describe the population parameter about which the hypothesis are to be tested.

                           [ Select ]                       ["Ho: P=.76 , H1: P<.76", "Ho: P=.76 , H1: P≠.76", "Ho: P=.76 , H1: P>.76"]         (4 points) State the null hypothesis and the alternative hypothesis.

                           [ Select ]                       ["two-tailed", "upper-tailed( Right-tailed)", "lower-tailed(Left-tailed)"]         (4 points) Determine what type of test this is.

                           [ Select ]                       ["-.14", "-.3278", "z>1.96", "-4.636", "z<-1.96", "z>1.28", ".62", "z<-1.28"]         (4 points) If the test statistic to be used is , z=p^−popoqonthe observed value of the test statistic is

                           [ Select ]                       ["between 5% and 10%", "higher than 10%", "less than 1%", "between 1% and 5%"]         (4 points) Determine the p-value associated with the observed value of the test statistic

                           [ Select ]                       ["Accept Ho at significant level of 10%", "Fail to Accept at significant level of 10%", "Fail to reject Ho at significant level of 10%", "Reject Ho at significant level of 10%"]         (4 points) State the conclusion. Pick the BEST ANSWER.

                           [ Select ]                       ["We have STRONG evidence that Los Angeles residents wear a mask consistently when outdoors, as of June 1.", "We have STRONG evidence that the proportion of Los Angeles residents that wear a mask consistently when outdoors has changed recently, compared to March 2020 data.", "We have STRONG evidence that today, Los Angeles residents DO NOT WANT TO wear a mask when outdoors", "We have WEAK evidence that wearing a mask when outdoors helps prevent the spread of the COVID-19 virus."]         (4 points) State the conclusion to this hypothesis test, in plain English

Answer 1

From the given information,
By using calculator,
The required correct answers are,

1. P: "represents the true population proportion of Los Angeles residents that wear a mask consistently when outdoors in March"

2. "Ho: P=.76 , H1: P≠.76"

3. "two-tailed"

4.  "-4.636"

5. "less than 1%"

6. "Reject Ho at significant level of 10%"

7. "We have STRONG evidence that the proportion of Los Angeles residents that wear a mask consistently when outdoors has changed recently, compared to March 2020 data."

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